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,
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
