Boubaker polynomials collocation approach for solving systems of nonlinear Volterra–Fredholm integral equations

Numerical schemes have been developed for solutions of systems of nonlinear mixed Volterra–Fredholm integral equations of the second kind based on the First Boubaker polynomials (FBPs). The classical operational matrices are derived. The unknown has been approximated by FBPs and the Newton–Cotes poi...

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Bibliographic Details
Published inJournal of Taibah University for Science Vol. 11; no. 6; pp. 1182 - 1199
Main Authors Davaeifar, Sara, Rashidinia, Jalil
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.11.2017
Taylor & Francis
Subjects
Best approximation
Collocation methods
First Boubaker polynomials
Operational matrix
Systems of Volterra-Fredholm integral equations
Operational matrix
Collocation methods
Best approximation
Systems of Volterra–Fredholm integral equations
First Boubaker polynomials
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Summary:Numerical schemes have been developed for solutions of systems of nonlinear mixed Volterra–Fredholm integral equations of the second kind based on the First Boubaker polynomials (FBPs). The classical operational matrices are derived. The unknown has been approximated by FBPs and the Newton–Cotes points were applied as the collocations points. Error estimate and convergence analysis of the proposed method have been proved. Some numerical experiments are considered. The results are compared with relevant studies in order to test the reliability, validity and effectiveness of the proposed approach.
ISSN:1658-3655
1658-3655
DOI:10.1016/j.jtusci.2017.05.002