scispace - formally typeset
Search or ask a question
Author

M. Shahrezaee

Bio: M. Shahrezaee is an academic researcher from Iran University of Science and Technology. The author has contributed to research in topics: Volterra integral equation & Integral equation. The author has an hindex of 2, co-authored 2 publications receiving 133 citations.

Papers
More filters
Journal ArticleDOI
TL;DR: The characteristic of Block–Pulse functions is described and it is indicated that through this method a system of Fredholm integral equations can be reduced to an algebraic equation.

99 citations

Journal ArticleDOI
TL;DR: This paper introduces Pouzet Volterra Runge-Kutta methods (implicit and explicit forms) PVRK, and explains about some extended explicit Bel'tyukov pairs, EBVRK.

40 citations


Cited by
More filters
Journal ArticleDOI
TL;DR: The Kronecker convolution product is introduced and expanded to the Riemann-Liouville fractional integral of matrices and several operational matrices for integration and differentiation are studied.

171 citations

Journal ArticleDOI
TL;DR: A computational method for solving nonlinear Fredholm integral equations of the second kind which is based on the use of Haar wavelets is presented, which shows efficiency of the method.

154 citations

Journal ArticleDOI
TL;DR: A way to solve the fractional differential equations using the Riemann-Liouville fractional integral for repeated fractional integration and the generalized block pulse operational matrices of differentiation are proposed.
Abstract: The Riemann-Liouville fractional integral for repeated fractional integration is expanded in block pulse functions to yield the block pulse operational matrices for the fractional order integration. Also, the generalized block pulse operational matrices of differentiation are derived. Based on the above results we propose a way to solve the fractional differential equations. The method is computationally attractive and applications are demonstrated through illustrative examples.

152 citations

Journal ArticleDOI
TL;DR: In this paper, a numerical scheme based on the Haar wavelet operational matrices of integration for solving linear two-point and multi-point boundary value problems for fractional differential equations is presented.

123 citations

Journal ArticleDOI
TL;DR: By using block pulse functions and their stochastic operational matrix of integration, a stochastically Volterra integral equation can be reduced to a linear lower triangular system, which can be directly solved by forward substitution.

95 citations