A new approach to the numerical solution of Fredholm-Volterra integral equations by using multiquadric quasi-interpolation

R  Ezzati  and K  Shakibi

doi:10.17485/ijst/2012/v5i5.11

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A new approach to the numerical solution of Fredholm-Volterra integral equations by using multiquadric quasi-interpolation

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2012/v5i5.11

Year: 2012, Volume: 5, Issue: 5, Pages: 1-5

Original Article

A new approach to the numerical solution of Fredholm-Volterra integral equations by using multiquadric quasi-interpolation

R. Ezzati* and K. Shakibi

Department of Mathematics, Karaj Branch,
[email protected]^**Author For Correspondence
R. Ezzati
Department of Mathematics
Email: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper, we introduce an approach for solving Fredholm-Volterra integral equations(FVIE) of the second kind by using Multiquadric quasi-interpolation (MQ). Approximation of unknown function is done by using expansion method based on MQ. This method obtains acceptable approximate solution using simple computations. Also we prove a theorem for convergence analysis. We test the proposed method in some examples and compare the numerical and exact results.
Keywords: Radial basis function, Quasi-interpolation,Fredholm-Volterra integral equations, numerical method