TITLE:
A Strong Method for Solving Systems of Integro-Differential Equations
AUTHORS:
Jafar Biazar, Hamideh Ebrahimi
KEYWORDS:
Systems of Integro-Differential Equations, Chebyshev Wavelets Method, Mother Wavelet, Operational Matrix
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.9,
September
19,
2011
ABSTRACT: The introduced method in this paper consists of reducing a system of integro-differential equations into a system of algebraic equations, by expanding the unknown functions, as a series in terms of Chebyshev wavelets with unknown coefficients. Extension of Chebyshev wavelets method for solving these systems is the novelty of this paper. Some examples to illustrate the simplicity and the effectiveness of the proposed method have been presented.