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An efficient numerical approximation for the linear class of Fredholm integro-differential equations based on Cattani’s method

✍ Scribed by K. Maleknejad; M. Attary

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
219 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

This paper provides with a generalization of the work by Cattani (Math. Probl. Eng. ( 2008) 1-24), who has introduced the connection coefficients of the Shannon wavelets. We apply the Shannon wavelets approximation based on Cattani's connection coefficients together the collocation points for solving the linear Fredholm integro-differential equations. Finally, numerical results are included to demonstrate the validity and applicability of the method and some comparisons are made with existing results.

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In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed method converts the equation and its conditions to matrix equations, which co