{"id":260,"date":"2022-07-21T00:16:09","date_gmt":"2022-07-21T00:16:09","guid":{"rendered":"http:\/\/nampjournals.org\/?p=260"},"modified":"2022-07-21T00:17:25","modified_gmt":"2022-07-21T00:17:25","slug":"10-computational-analysis-of-higher-order-integro-differential-equations-by-canonical-polynomial-basis-functions","status":"publish","type":"post","link":"https:\/\/nampjournals.org\/?p=260","title":{"rendered":"10. Computational Analysis Of Higher-Order Integro-Differential Equations By Canonical Polynomial Basis Functions"},"content":{"rendered":"<!-- wp:themify-builder\/canvas \/-->\n\n<!--themify_builder_static--><a href=\"http:\/\/nampjournals.org\/publications-download\/volume-63\/10.%20Computational%20Analysis%20Of%20Higher-Order%20Integro-Differential%20Equations%20By%20Canonical%20Polynomial%20Basis%20Functions%20by%20Raji%20M.%20T.,%20Fagbemiro%20O.%20and%20Olajuwon%20B.%20I.JNAMP%20Vol%2063,%20Jan-March%202022%20Pg%2079-86.pdf\" > <em><svg aria-hidden=\"true\"><use href=\"#tf-ti-download\"><\/use><\/svg><\/em> Download Full Articles <\/a>\n<p><em><strong>by Raji M. T., Fagbemiro O. and Olajuwon B. I.<\/strong><\/em><br \/>Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria<\/p><hr \/><p>Raji M. T., Fagbemiro O. and Olajuwon B. I.<br \/>Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria<br \/>Abstract<br \/>This paper presents the computational analysis approach to the solution of<br \/>higher order Integro- Differential Equations (IDES) via the canonical<br \/>polynomial basis function. The canonical polynomial basis function<br \/>generated by re-defining the differential part in operator form. The analytical<br \/>results of the equations have been obtained in terms of convergent series with<br \/>easily computable components. Two numerical examples were considered<br \/>with the use of Mathematical Software (MATLAB 2009b) to illustrate the<br \/>performance, efficiency and implementation of the method. Hence, the<br \/>results showing the performance and effectiveness of the technique were<br \/>presented in tabular form. The technique has approachable better<br \/>performance than variational iteration method when compared.<br \/>Keywords: Integro Differential Equations (IDEs), canonical, integral equations.Two numerical examples were considered with the use of Mathematical Software (MATLAB 2009b) to illustrate the performance, efficiency and implementation of the method. Hence, the results showing the performance and effectiveness of the technique were presented in tabular form. The technique has approachable better performance than variational iteration method when compared.<\/p><hr \/><p><strong>Keywords:<\/strong> Integro Differential Equations (IDEs), canonical, integral equations.<\/p><!--\/themify_builder_static-->","protected":false},"excerpt":{"rendered":"<p>Raji M. T., Fagbemiro O. and Olajuwon B. I.<br \/>\nDepartment of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria<br \/>\nAbstract<br \/>\nThis paper presents the computational analysis approach to the solution of<br \/>\nhigher order Integro- Differential Equations (IDES) via the canonical<br \/>\npolynomial basis function. The canonical polynomial basis function<br \/>\ngenerated by re-defining the differential part in operator form. The analytical<br \/>\nresults of the equations have been obtained in terms of convergent series with<br \/>\neasily computable components. Two numerical examples were considered<br \/>\nwith the use of Mathematical Software (MATLAB 2009b) to illustrate the<br \/>\nperformance, efficiency and implementation of the method. Hence, the<br \/>\nresults showing the performance and effectiveness of the technique were<br \/>\npresented in tabular form. The technique has approachable better<br \/>\nperformance than variational iteration method when compared.<br \/>\nKeywords: Integro Differential Equations (IDEs), canonical, integral equations.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-260","post","type-post","status-publish","format-standard","hentry","category-volume-63-january-march-2022-issue","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"builder_content":"<a href=\"http:\/\/nampjournals.org\/publications-download\/volume-63\/10.%20Computational%20Analysis%20Of%20Higher-Order%20Integro-Differential%20Equations%20By%20Canonical%20Polynomial%20Basis%20Functions%20by%20Raji%20M.%20T.,%20Fagbemiro%20O.%20and%20Olajuwon%20B.%20I.JNAMP%20Vol%2063,%20Jan-March%202022%20Pg%2079-86.pdf\" > <em><svg aria-hidden=\"true\"><use href=\"#tf-ti-download\"><\/use><\/svg><\/em> Download Full Articles <\/a>\n<p><em><strong>by Raji M. T., Fagbemiro O. and Olajuwon B. I.<\/strong><\/em><br \/>Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria<\/p><hr \/><p>Raji M. T., Fagbemiro O. and Olajuwon B. I.<br \/>Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria<br \/>Abstract<br \/>This paper presents the computational analysis approach to the solution of<br \/>higher order Integro- Differential Equations (IDES) via the canonical<br \/>polynomial basis function. The canonical polynomial basis function<br \/>generated by re-defining the differential part in operator form. The analytical<br \/>results of the equations have been obtained in terms of convergent series with<br \/>easily computable components. Two numerical examples were considered<br \/>with the use of Mathematical Software (MATLAB 2009b) to illustrate the<br \/>performance, efficiency and implementation of the method. Hence, the<br \/>results showing the performance and effectiveness of the technique were<br \/>presented in tabular form. The technique has approachable better<br \/>performance than variational iteration method when compared.<br \/>Keywords: Integro Differential Equations (IDEs), canonical, integral equations.Two numerical examples were considered with the use of Mathematical Software (MATLAB 2009b) to illustrate the performance, efficiency and implementation of the method. Hence, the results showing the performance and effectiveness of the technique were presented in tabular form. The technique has approachable better performance than variational iteration method when compared.<\/p><hr \/><p><strong>Keywords:<\/strong> Integro Differential Equations (IDEs), canonical, integral equations.<\/p>","_links":{"self":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/260","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=260"}],"version-history":[{"count":4,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/260\/revisions"}],"predecessor-version":[{"id":264,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/260\/revisions\/264"}],"wp:attachment":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=260"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=260"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=260"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}