The Numerical Solution Of Nonlinear Fredholm-hammerstein Integral Equations Of The Second Kind Utilizing Chebyshev Wavelets
نویسندگان
چکیده
منابع مشابه
Numerical Solution of the Nonlinear Fredholm Integral Equation and the Fredholm Integro-differential Equation of Second Kind using Chebyshev Wavelets
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...
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Degenerate kernel approximation method is generalized to solve Hammerstein system of Fredholm integral equations of the second kind. This method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. Convergence analysis is investigated and on some test problems, the propo...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Computer Science
سال: 2014
ISSN: 2008-949X
DOI: 10.22436/jmcs.010.04.01