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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.

65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
65T60 Numerical methods for wavelets
Full Text: DOI EuDML