A Numerical Approach for Solving Volterra Integral Equation with Proportional Delay using Sinc-Collocation Method

被引：1

作者：

Mallick B. ^{[1
]}

Sahu P.K. ^{[1
]}

机构：

[1] KIIT Deemed to be University, Bhubaneswar, Odisha

来源：

International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 5期

关键词：

Collocation; Integral equation; Proportional delay; Sinc function; Volterra equation;

D O I：

10.1007/s40819-020-00895-2

中图分类号：

学科分类号：

摘要：

In this paper, the authors solve the Volterra integral equations with proportional delay (VIEPD) by using Sinc-collocation method. The preliminaries of Sinc functions are provided. This approach transforms the integral equation to an easily solvable system of algebraic equations. The authors handle the delay terms successfully using Sinc functions. Error bound for this method has been presented. Due to exponential convergence rate, Sinc collocation method is very applicable to solve VIEPD. Three test problems have been illustrated and compared to exact solutions. This comparisons demonstrate the accuracy, reliability and efficiency of this approach. © 2020, Springer Nature India Private Limited.

引用

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