{"id":250,"date":"2018-07-12T06:33:25","date_gmt":"2018-07-12T06:33:25","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=250"},"modified":"2018-08-02T11:25:04","modified_gmt":"2018-08-02T11:25:04","slug":"non-linear-curve-fitting","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/non-linear-curve-fitting\/","title":{"rendered":"Non-Linear Curve Fitting"},"content":{"raw":"<h1 style=\"text-align: center\"><strong>Non-Linear Curve Fitting<\/strong><\/h1>\r\n<img class=\"aligncenter wp-image-258 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137.jpg\" alt=\"\" width=\"799\" height=\"958\" \/> <img class=\"aligncenter wp-image-257 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_2-e1533208700509.jpg\" alt=\"\" width=\"826\" height=\"1213\" \/> <img class=\"aligncenter wp-image-256 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_3-e1533208769312.jpg\" alt=\"\" width=\"1344\" height=\"1947\" \/> <img class=\"aligncenter wp-image-255 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_4-e1533208805111.jpg\" alt=\"\" width=\"1350\" height=\"1964\" \/> <img class=\"aligncenter wp-image-254 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_5-e1533208855175.jpg\" alt=\"\" width=\"791\" height=\"1191\" \/> <img class=\"aligncenter wp-image-253 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_6-e1533208916369.jpg\" alt=\"\" width=\"801\" height=\"1017\" \/> <img class=\"aligncenter wp-image-252 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_7-e1533208953179.jpg\" alt=\"\" width=\"1441\" height=\"2203\" \/> <img class=\"aligncenter wp-image-251 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569.jpg\" alt=\"\" width=\"807\" height=\"579\" \/>\r\n\r\n<strong style=\"text-align: initial;font-size: 1em\">Additional Reading material<\/strong><span style=\"text-align: initial;font-size: 1em\">\u00a0<\/span>\r\n\r\n&nbsp;\r\n<p style=\"text-align: justify\"><span style=\"text-align: justify;font-size: 1em\">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].<\/span><\/p>\r\n\r\n<div style=\"text-align: center\">\r\n\r\n&nbsp;\r\n\r\n<strong>References:<\/strong>\r\n\r\n&nbsp;\r\n\r\n1. Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009\r\n\r\n2. Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.\r\n\r\n3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007\r\n\r\n4. Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory &amp; Applications, Cengage Learning, 2005.\r\n\r\n5. Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005\r\n\r\n6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.\r\n\r\n7. Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.\r\n\r\n8. s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.\r\n\r\n9. Polynomial interpolation, From Wikipedia, the free encyclopaedia\r\n\r\n10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.\r\n\r\n11. Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.\r\n\r\n<span style=\"font-size: 1em\">12. Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical \u00a0Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span>\r\n\r\n<\/div>","rendered":"<h1 style=\"text-align: center\"><strong>Non-Linear Curve Fitting<\/strong><\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-258\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137.jpg\" alt=\"\" width=\"799\" height=\"958\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137.jpg 1285w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137-250x300.jpg 250w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137-768x922.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137-853x1024.jpg 853w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137-65x78.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137-225x270.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_1-e1533208632137-350x420.jpg 350w\" sizes=\"auto, (max-width: 799px) 100vw, 799px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-257\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_2-e1533208700509.jpg\" alt=\"\" width=\"826\" height=\"1213\" 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_7-e1533208953179-670x1024.jpg 670w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_7-e1533208953179-65x99.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_7-e1533208953179-225x344.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_7-e1533208953179-350x535.jpg 350w\" sizes=\"auto, (max-width: 1441px) 100vw, 1441px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-251\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569.jpg\" alt=\"\" width=\"807\" height=\"579\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569.jpg 1285w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569-300x215.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569-768x551.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569-1024x735.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569-65x47.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569-225x161.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1505729799Module19_econtent_Page_8-e1533208985569-350x251.jpg 350w\" sizes=\"auto, (max-width: 807px) 100vw, 807px\" \/><\/p>\n<p><strong style=\"text-align: initial;font-size: 1em\">Additional Reading material<\/strong><span style=\"text-align: initial;font-size: 1em\">\u00a0<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify\"><span style=\"text-align: justify;font-size: 1em\">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].<\/span><\/p>\n<div style=\"text-align: center\">\n<p>&nbsp;<\/p>\n<p><strong>References:<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>1. Steven C Chapra &amp; Raymond Canale: Numerical Methods for Engineers, 5th Ed. TMH, 2009<\/p>\n<p>2. Conte Samuel D. &amp; Carl de Boor: Elementary N A \u2013 An Algorithmic approach, 3rd Ed., TMH, 2005.<\/p>\n<p>3. Alfio Quarteroni, Recardo Sacco, Fausto Saleri: N. Mathematics (Text in Applied Math.) 2nd Ed. SV, 2007<\/p>\n<p>4. Richard L. Burden &amp; J. Douglas Faires: N A \u2013Theory &amp; Applications, Cengage Learning, 2005.<\/p>\n<p>5. Won Y. Yang, Wenwu Cao, Tae-Sang Chung, &amp; John Morris: Applied NM Using Matlab, WSE, 2005<\/p>\n<p>6. Kendall Atkinson &amp; Weimin Han: Elimentary Numerical Analysis, Third edition, Wiley Dreamtech India(P) Ltd., 2004.<\/p>\n<p>7. Matheus Grasselli &amp; Dimitry Pelinovsky: Numerical Mathematics, Narosa Publishing House, 2009.<\/p>\n<p>8. s. s. ssatry: Introductory Methods of Numerical Analysis, PHI, 1989.<\/p>\n<p>9. Polynomial interpolation, From Wikipedia, the free encyclopaedia<\/p>\n<p>10. Carl-Erik Froberg: Introduction to Numerical Analysis, Addition-Wesley Pub. Co., 1981.<\/p>\n<p>11. Rao V. Dukkipati: Numerical Methods, NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS, 2010.<\/p>\n<p><span style=\"font-size: 1em\">12. Robert J. \u00a0Schilling \u00a0&amp; \u00a0Sandra \u00a0L. \u00a0Harris: \u00a0Applied \u00a0Numerical \u00a0Methodsfor \u00a0Engineers, Thomson Brooks\/Kole, 1999.<\/span><\/p>\n<\/div>\n","protected":false},"author":4,"menu_order":19,"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-250","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\/250","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":3,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/250\/revisions"}],"predecessor-version":[{"id":535,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/250\/revisions\/535"}],"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\/250\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=250"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=250"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=250"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=250"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}