Numerical Solution of the Nonlinear Fredholm Integral Equation and the Fredholm Integro-differential Equation of Second Kind using Chebyshev Wavelets
نویسنده
چکیده
Abstract: In this paper, a numerical method to solve nonlinear Fredholm integral equations of second kind is proposed and some numerical notes about this method are addressed. The method utilizes Chebyshev wavelets constructed on the unit interval as a basis in the Galerkin method. This approach reduces this type of integral equation to solve a nonlinear system of algebraic equation. The method is also used to solve Fredholm integro-differential equation of second kind. Several numerical examples are presented to compare accuracy of Chebyshev wavelet Galerkin method with methods using polynomial Chebyshev basis.
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