A new operational approach for numerical solution of generalized functional integro-differential equations

被引：24

作者：

Borhanifar, A. ^{[1
]}

Sadri, Kh. ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Math Sci, Dept Math, Ardebil, Iran

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 279卷

关键词：

Functional integro-differential equations; Operational collocation method; Shifted Jacobi polynomials; Jacobi operational matrices; Error estimation; COLLOCATION METHOD; CONVERGENCE ANALYSIS;

D O I：

10.1016/j.cam.2014.09.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of linear and nonlinear functional integro-differential equations are considered that can be found in the various fields of sciences such as: stress-strain states of materials, motion of rigid bodies and models of polymer crystallization. The operational collocation method with shifted Jacobi polynomial bases is applied to approximate the solution of these equations. In addition, some theoretical results are given to simplify and reduce the computational costs. Finally, some numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method. (C) 2014 Elsevier B.V. All rights reserved.

引用

收藏

页码：80 / 96

页数：17

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