{"id":237,"date":"2018-07-12T06:25:39","date_gmt":"2018-07-12T06:25:39","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=237"},"modified":"2019-05-15T08:55:28","modified_gmt":"2019-05-15T08:55:28","slug":"polynomial-curve-fitting","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/polynomial-curve-fitting\/","title":{"rendered":"Polynomial Curve Fitting"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/3gfEtcepHrU\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<p style=\"text-align: center;\"><strong>Polynomial Curve Fitting<\/strong><\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"aligncenter wp-image-247 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829.jpg\" alt=\"\" width=\"1298\" height=\"1451\" \/> <img class=\"aligncenter wp-image-246 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640.jpg\" alt=\"\" width=\"1513\" height=\"2118\" \/> <img class=\"aligncenter wp-image-245 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347.jpg\" alt=\"\" width=\"813\" height=\"1152\" \/> <img class=\"aligncenter wp-image-244 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246.jpg\" alt=\"\" width=\"1333\" height=\"1900\" \/> <img class=\"aligncenter wp-image-243 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394.jpg\" alt=\"\" width=\"792\" height=\"1180\" \/> <img class=\"aligncenter wp-image-242 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599.jpg\" alt=\"\" width=\"1321\" height=\"1964\" \/> <img class=\"aligncenter wp-image-241 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599.jpg\" alt=\"\" width=\"1321\" height=\"1917\" \/> <img class=\"aligncenter wp-image-240 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508.jpg\" alt=\"\" width=\"1303\" height=\"1935\" \/> <img class=\"aligncenter wp-image-239 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420.jpg\" alt=\"\" width=\"811\" height=\"1216\" \/> <img class=\"aligncenter wp-image-238 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433.jpg\" alt=\"\" width=\"807\" height=\"138\" \/>\r\n\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Polynomial Curve Fitting<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/3gfEtcepHrU\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p style=\"text-align: left;\"><strong>Additional Reading material<\/strong><\/p>\r\n&nbsp;\r\n<p style=\"text-align: justify;\">The following are some of the references on Interpolation. Linearization of certain nonlinear curves there by fitting such non-linear curve to a given data has been discussed in details in reference [4] and [11]. Corresponding MATLAB programs and some real world applications are given in reference [5], [12].<\/p>\r\n&nbsp;\r\n\r\n<strong>References:<\/strong>\r\n\r\n&nbsp;\r\n\r\n1.\u00a0\u00a0\u00a0 Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009\r\n\r\n2.\u00a0\u00a0 Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.\r\n\r\n3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007\r\n\r\n4.\u00a0\u00a0 Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory &amp; Applications, Cengage Learning, 2005.\r\n\r\n5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005\r\n\r\n6.\u00a0 \u00a0Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.\r\n\r\n7.\u00a0 \u00a0 Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.\r\n\r\n8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.\r\n\r\n9.\u00a0\u00a0 Polynomial interpolation, From Wikipedia, the free encyclopaedia\r\n\r\n10.\u00a0 Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.\r\n\r\n11.\u00a0 \u00a0Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.\r\n\r\n<span style=\"font-size: 1em;\">12.\u00a0 Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical \u00a0Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/3gfEtcepHrU\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p style=\"text-align: center;\"><strong>Polynomial Curve Fitting<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-247 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829.jpg\" alt=\"\" width=\"1298\" height=\"1451\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829.jpg 1298w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829-268x300.jpg 268w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829-768x859.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829-916x1024.jpg 916w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829-65x73.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829-225x252.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_01-e1533208217829-350x391.jpg 350w\" sizes=\"auto, (max-width: 1298px) 100vw, 1298px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-246 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640.jpg\" alt=\"\" width=\"1513\" height=\"2118\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640.jpg 1513w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640-214x300.jpg 214w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640-768x1075.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640-731x1024.jpg 731w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640-65x91.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640-225x315.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_02-e1533208253640-350x490.jpg 350w\" sizes=\"auto, (max-width: 1513px) 100vw, 1513px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-245\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347.jpg\" alt=\"\" width=\"813\" height=\"1152\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347.jpg 1303w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347-212x300.jpg 212w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347-768x1089.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347-722x1024.jpg 722w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347-65x92.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347-225x319.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_03-e1533208281347-350x496.jpg 350w\" sizes=\"auto, (max-width: 813px) 100vw, 813px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-244 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246.jpg\" alt=\"\" width=\"1333\" height=\"1900\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246.jpg 1333w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246-210x300.jpg 210w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246-768x1095.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246-718x1024.jpg 718w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246-65x93.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246-225x321.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_04-e1533208309246-350x499.jpg 350w\" sizes=\"auto, (max-width: 1333px) 100vw, 1333px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-243\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394.jpg\" alt=\"\" width=\"792\" height=\"1180\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394.jpg 1298w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394-201x300.jpg 201w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394-768x1145.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394-687x1024.jpg 687w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394-65x97.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394-225x335.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_05-e1533208346394-350x522.jpg 350w\" sizes=\"auto, (max-width: 792px) 100vw, 792px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-242 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599.jpg\" alt=\"\" width=\"1321\" height=\"1964\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599.jpg 1321w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599-202x300.jpg 202w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599-768x1142.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599-689x1024.jpg 689w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599-65x97.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599-225x335.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_06-e1533208381599-350x520.jpg 350w\" sizes=\"auto, (max-width: 1321px) 100vw, 1321px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-241 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599.jpg\" alt=\"\" width=\"1321\" height=\"1917\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599.jpg 1321w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599-207x300.jpg 207w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599-768x1115.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599-706x1024.jpg 706w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599-65x94.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599-225x327.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_07-e1533208418599-350x508.jpg 350w\" sizes=\"auto, (max-width: 1321px) 100vw, 1321px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-240 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508.jpg\" alt=\"\" width=\"1303\" height=\"1935\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508.jpg 1303w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508-202x300.jpg 202w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508-768x1141.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508-690x1024.jpg 690w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508-65x97.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508-225x334.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_08-e1533208464508-350x520.jpg 350w\" sizes=\"auto, (max-width: 1303px) 100vw, 1303px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-239\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420.jpg\" alt=\"\" width=\"811\" height=\"1216\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420.jpg 1300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420-200x300.jpg 200w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420-768x1152.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420-683x1024.jpg 683w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420-65x98.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420-225x338.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_09-e1533208499420-350x525.jpg 350w\" sizes=\"auto, (max-width: 811px) 100vw, 811px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-238\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433.jpg\" alt=\"\" width=\"807\" height=\"138\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433.jpg 1285w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433-300x51.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433-768x131.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433-1024x175.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433-65x11.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433-225x38.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729758Module-18-Polynomial-Curve-fitting_Page_10-e1533208531433-350x60.jpg 350w\" sizes=\"auto, (max-width: 807px) 100vw, 807px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Polynomial Curve Fitting<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/3gfEtcepHrU\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: left;\"><strong>Additional Reading material<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">The following are some of the references on Interpolation. Linearization of certain nonlinear curves there by fitting such non-linear curve to a given data has been discussed in details in reference [4] and [11]. Corresponding MATLAB programs and some real world applications are given in reference [5], [12].<\/p>\n<p>&nbsp;<\/p>\n<p><strong>References:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>1.\u00a0\u00a0\u00a0 Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009<\/p>\n<p>2.\u00a0\u00a0 Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/p>\n<p>3.\u00a0 \u00a0Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/p>\n<p>4.\u00a0\u00a0 Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory &amp; Applications, Cengage Learning, 2005.<\/p>\n<p>5.\u00a0 \u00a0Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/p>\n<p>6.\u00a0 \u00a0Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/p>\n<p>7.\u00a0 \u00a0 Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/p>\n<p>8.\u00a0\u00a0 s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/p>\n<p>9.\u00a0\u00a0 Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/p>\n<p>10.\u00a0 Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.<\/p>\n<p>11.\u00a0 \u00a0Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.<\/p>\n<p><span style=\"font-size: 1em;\">12.\u00a0 Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical \u00a0Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span><\/p>\n","protected":false},"author":4,"menu_order":18,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-v-d-pathak"],"pb_section_license":""},"chapter-type":[],"contributor":[59],"license":[],"class_list":["post-237","chapter","type-chapter","status-publish","hentry","contributor-dr-v-d-pathak"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/237","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":6,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/237\/revisions"}],"predecessor-version":[{"id":601,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/237\/revisions\/601"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/237\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=237"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=237"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=237"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}