A Strong Method for Solving Systems of Integro-Differential Equations

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.

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.

Keywords

Systems of Integro-Differential Equations, Chebyshev Wavelets Method, Mother Wavelet, Operational Matrix

Systems of Integro-Differential Equations, Chebyshev Wavelets Method, Mother Wavelet, Operational Matrix

Cite this paper

nullJ. Biazar and H. Ebrahimi, "A Strong Method for Solving Systems of Integro-Differential Equations,"*Applied Mathematics*, Vol. 2 No. 9, 2011, pp. 1105-1113. doi: 10.4236/am.2011.29152.

nullJ. Biazar and H. Ebrahimi, "A Strong Method for Solving Systems of Integro-Differential Equations,"

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