Numerical Solutions of Stochastic Volterra-Fredholm Integral Equations by Hybrid Legendre Block-Pulse Functions

被引：10

作者：

Ray, S. Saha ^{[1
]}

Singh, S. ^{[1
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, India

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 3-4期

关键词：

stochastic Volterra-Fredholm integral equation; hybrid Legendre block-pulse functions; stochastic operational matrix; second kind Chebyshev wavelets; DIFFERENTIAL-EQUATIONS; OPERATIONAL MATRIX;

D O I：

10.1515/ijnsns-2017-0038

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, the numerical solutions of stochastic Volterra-Fredholm integral equations have been obtained by hybrid Legendre block-pulse functions (BPFs) and stochastic operational matrix. The hybrid Legendre BPFs are orthonormal and have compact support on [0,1). The numerical results obtained by the above functions have been compared with those obtained by second kind Chebyshev wavelets. Furthermore, the results of the proposed computational method establish its accuracy and efficiency.

引用

页码：289 / 297

页数：9

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