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Najafalizadeh, S.
- Application of Chebyshev Polynomials for Solving Nonlinear Volterra-fredholm Integral Equations System and Convergence Analysis
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Authors
Affiliations
1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IR
1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IR
Source
Indian Journal of Science and Technology, Vol 5, No 2 (2012), Pagination: 2060-2064Abstract
In 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 MatrixFull Text
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