Convergence of approximate solution of system of Fredholm integral equations

By J. Rashidinia, Mohammad Zarebnia. 2007

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Abstract In this paper numerical solution of system of linear Fredholm integral equations by means of the Sinc-collocation method is considered. This approximation reduces the system of integral equations to an explicit system of algebraic equations. The exponential convergence rate of the method O ( e − k N ) is proved. The method is applied to a few test examples with continuous kernels to illustrate the accuracy and the implementation of the method.

Subfields: Mathematical Physics, Mechanics of Materials, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/bac4db0ab26c272068c3bff5b2df54bcc07dae1b