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Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions

✍ Scribed by E. Babolian; S. Bazm; P. Lima


Book ID
108097051
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
531 KB
Volume
16
Category
Article
ISSN
1007-5704

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In this work, we present a computational method for solving nonlinear Fredholm integral equations of the second kind which is based on the use of Haar wavelets. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.

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## a b s t r a c t In this paper, we introduce a numerical method for the solution of two-dimensional Fredholm integral equations. The method is based on interpolation by Gaussian radial basis function based on Legendre-Gauss-Lobatto nodes and weights. Numerical examples are presented and results