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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.

MSC:
65R20 Numerical methods for integral equations
65T60 Numerical methods for wavelets
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