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

被引：13

作者：

Davaeifar, Sara ^{[1
]}

Rashidinia, Jalil ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2017年 / 11卷 / 06期

关键词：

First Boubaker polynomials; Best approximation; Operational matrix; Systems of Volterra-Fredholm integral equations; Collocation methods; BLOCK-PULSE FUNCTIONS; NUMERICAL-SOLUTIONS; 2ND KIND; QUADRATURE; WAVELETS; HYBRID;

D O I：

10.1016/j.jtusci.2017.05.002

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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. (C) 2017 The Author. Production and hosting by Elsevier B.V. on behalf of Taibah University. This is an open access article under the CC BY-NC-ND license

引用

页码：1182 / 1199

页数：18

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