IJPAM: Volume 104, No. 2 (2015)

NUMERICAL SOLUTION OF NONLINEAR
VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL
EQUATION BY USING WALSH FUNCTIONS

R. Garshasbi$^1$, A. Jafari Shaerlar$^2$
$^{1,2}$Department of Mathematics
Ardabil Science and research Branch
Islamic Azad University
Ardabil, IRAN
$^2$Department of Mathematics
Ardabil Branch
Islamic Azad University
Ardabil, IRAN


Abstract. In this article, we present a numerical method to solve the nonlinear Volterra-Fredholm integro-differential equations by new basis functions, in particular, Walsh functions. Then the operational matrix and direct method for solving the equations are investigated. Finally error estimates and numerical express are also reported.

Received: March 17, 2015

AMS Subject Classification: 45G10, 45D05

Key Words and Phrases: differential equations, direct method, Volterra-Fredholm integro-differetial, error estimates, Walsh functions

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DOI: 10.12732/ijpam.v104i2.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 104
Issue: 2
Pages: 171 - 180


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