Indian Journal of Science and Technology
Year: 2012, Volume: 5, Issue: 2, Pages: 1-5
R. Ezzati1* and S. Najafalizadeh2
n this paper, we solve the nonlinear Volterra-Fredholm integral equations system by using the Chebyshev polynomials. First we introduce the Chebyshev polynomials and approximate functions via their application. Then, we use Chebyshev polynomials as a collocation basis to change the nonlinear Volterra-Fredholm integral equations system to a system of nonlinear algebraic equations. Finally, the convergence analysis is considered, and numerical examples given to illustrate the efficiency of this method.
Keywords: Volterra-Fredholm; System of integral equations; Chebyshev polynomials; Operational matrix
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