An Operational Matrix Method for Solving a Class of Nonlinear Volterra Integro-Differential Equations by Operational Matrix Method

被引：0
|
作者：
Öztürk Y. [1 ]
Gülsu M. [2 ]
机构：
[1] Ula Ali KoÇman Vocational School, Muğla Sıtkı Koçman University, Muğla
[2] Department of Mathematics, Faculty of Science, Muğla Sıtkı Koçman University, Muğla
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期
关键词：
Approximation method; Chebyshev polynomials; Nonlinear Volterra integro-differential equations; Numerical algorithm; Operational matrix method;
D O I：
10.1007/s40819-016-0300-6
中图分类号：
学科分类号：
摘要：
In this paper, the improved Chebyshev operational matrix method is proposed to solve a class of nonlinear Volterra integro-differential equation. The main characteristic behind this approach is that it reduces such problems to ones of solving systems of algebraic equations. Some examples are included to demonstrate the validity and applicability of the this techinque. The only a small number of shifted Chebyshev polynomials is needed to obtain a satisfactory result. © 2017, Springer India Pvt. Ltd.
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收藏
页码：3279 / 3294
页数：15
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