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Research Article Open Access
In this paper, we use chebyshev polynomial basis functions to solve the Fredholm and Volterra integro-differential equations. We directly calculate integrals and other terms are calculated by approximating the functions with the Chebyshev polynomials. This method affects the computational aspect of the numerical calculations. Application of the method on some examples show its accuracy and efficiency.
Integro-differential equation, Chebyshev polynomial, Collocation method, Integro-differential equation, Chebyshev polynomial, Collocation method