Abstract
In this paper, we introduce an efficient method based on two-dimensional block-pulse functions (2D-BPFs) to approximate the solution of the 2D-linear stochastic Volterra–Fredholm integral equation. Also, we present convergence analysis of the proposed method. Illustrative examples are included to demonstrate the validity and applicability of the proposed method.
Highlights
As we know, in 2D-stochastic integral equations, the values can vary in time and space due to unknown conditions of the surroundings or the medium
His research interests include numerical in solving illposed problems and solving Fredholm and Volterra integral equations
He has authored as the editor-inchief of the International Journal of Mathematical Sciences, which publishers by Springer
Summary
In 2D-stochastic integral equations, the values can vary in time and space due to unknown conditions of the surroundings or the medium. Maleknejad received his PhD degree in Applied Mathematics in Numerical Analysis area from the University of Wales, Aberystwyth, UK in 1980 He has been a professor since 2002 at IUST. His research interests include numerical in solving illposed problems and solving Fredholm and Volterra integral equations He has authored as the editor-inchief of the International Journal of Mathematical Sciences, which publishers by Springer. Authors of Fallahpour, Khodabin, and Maleknejad (2015) have proposed Haar wavelet method to solve 2D-linear stochastic Fredholm integral equation without investigating the error analysis.
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