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Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations. (English) Zbl 1200.65112
Summary: A method for solving the nonlinear second-order Fredholm integro-differential equations is presented. The approach is based on a compactly supported linear semiorthogonal \(B\)-spline wavelets. The operational matrices of derivative for \(B\)-spline scaling functions and wavelets are presented and utilized to reduce the solution of Fredholm integro-differential to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

65R20 Numerical methods for integral equations
65T60 Numerical methods for wavelets
Full Text: DOI
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