Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations

M. Lakestani, M. Razzaghi and M. Dehghan

Mathematical Problems in Engineering, 2006, vol. 2006, 1-12

Abstract:

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:096184

DOI: 10.1155/MPE/2006/96184

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