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Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets. (English) Zbl 1073.65568
Summary: Compactly supported linear semiorthogonal \(B\)-spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm-Hammerstein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through an illustrative example.

MSC:
65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
65T60 Numerical methods for wavelets
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