Title of article
Numerical Solution Two-Dimensional Volterra-Fredholm Integral Equations of the Second Kind with Block-Pulse Functions Based on Legendre Polynomials
Author/Authors
Khazaeian, J. Department of Mathematics - Islamic Azad University Hamedan Branch - Hamedan, Iran, , Parandin, N. Department of Mathematics - Islamic Azad University Kermanshah Branch - Kermanshah, Iran. , Mohammadi Yaghoobi, F. Department of Mathematics - Islamic Azad University Hamedan Branch - Hamedan, Iran, , Karami Kabir, N. Department of Mathematics - Islamic Azad University Hamedan Branch - Hamedan, Iran,
Pages
14
From page
1
To page
14
Abstract
In this paper, we present a new numerical technique based on Block-pulse functions to solve two-dimensional Volterra-Fredholm integral equations of the second kind. To produce Block-pulse functions, the orthogonal Legendre polynomials is used. Furthermore, operational matrix is applied to convert two-dimensional Volterra-Fredholm integral equations to a linear algebraic system. The convergence analysis of the new method is discussed. Finally, some numerical examples are given to confirm the applicability and efficiency of the new method for solving two-dimensional Volterra-Fredholm integral equations of the second kind.
Keywords
Volterra-Fredholm integral equations , Block-pulse functions , Operational matrix , Legendre polynomials
Journal title
International Journal of Mathematical Modelling and Computations
Serial Year
2022
Record number
2731380
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