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Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations - MaRDI portal

Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations (Q610051)

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scientific article; zbMATH DE number 5822518
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Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations
scientific article; zbMATH DE number 5822518

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    Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations (English)
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    1 December 2010
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    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.
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