Convergence of approximate solution of mixed Hammerstein type integral equations
Keywords:
Hammerstein integral equations, cubic B-spline wavelets, operational matrices, Galerkin method, Error analysis
Abstract
In the present paper, a computational method for solving nonlinear Volterra-Fredholm Hammerestein integral equations is proposed by using compactly supported semiorthogonal cubic B-spline wavelets as basis functions. Dual functions and Operational matrices of B-spline wavelets via Galerkin method are utilized to reduce the computation of integral equations to some algebraic system, where in the Galerkin method dual of B-spline wavelets are applied as weighting functions. The method is computationally attractive, and applications are demonstrated through illustrative examples.Downloads
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Published
2018-02-19
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Articles
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