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Numerical Solutions of stochastic Volterra-Fredholm integral equations by Hybrid Legendre Block-Pulse functions

Publication Type : Journal Article

Publisher : International Journal of Nonlinear Sciences and Numerical Simulation

Source : International Journal of Nonlinear Sciences and Numerical Simulation, 19(3-4), pp. 289-297 (2018)

Url : https://www.degruyter.com/document/doi/10.1515/ijnsns-2017-0038/html

Campus : Chennai

School : School of Engineering

Department : Mathematics

Year : 2018

Abstract : 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.

Cite this Research Publication : S. Saha Ray, S. Singh, “Numerical Solutions of stochastic Volterra-Fredholm integral equations by Hybrid Legendre Block-Pulse functions”, International Journal of Nonlinear Sciences and Numerical Simulation, 19(3-4), pp. 289-297. (2018)

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