Perturbed Galerkin Method for Solving Integro- Differential Equations
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Date
0002-04-15
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Publisher
Hindawi
Abstract
In this paper, perturbed Galerkin method is proposed to find numerical solution of an
integro-differential equations using fourth kind shifted Chebyshev polynomials as ba-
sis functions which transform the integro-differential equation into a system of linear
equations. The system of linear equations are then solved to obtain the approximate
solution. Examples to justify the effectiveness and accuracy of the method are pre-
sented and their numerical results are compared with Galerkin’s method, Taylor’s
series method and Tau’s method which provide validation for the proposed approach.
The errors obtained justify the effectiveness and accuracy of the method.