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

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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… Click to show full abstract

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)$[0, 1)$ . 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.

Keywords: stochastic volterra; hybrid legendre; solutions stochastic; numerical solutions; volterra fredholm; fredholm integral

Journal Title: International Journal of Nonlinear Sciences and Numerical Simulation
Year Published: 2018

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