Indian Journal of Science and Technology

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A New Approach to the Numerical Solution of Fredholm-Volterra Integral Equations by Using Multiquadric Quasi-interpolation


Affiliations
1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran, Islamic Republic of
 

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
User

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  • A New Approach to the Numerical Solution of Fredholm-Volterra Integral Equations by Using Multiquadric Quasi-interpolation

Abstract Views: 503  |  PDF Views: 97

Authors

R. Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran, Islamic Republic of
K. Shakibi
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran, Islamic Republic of

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

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i5%2F30452