Numerical Solution of Singular Fredholm Integrodifferential Equations of the Second Kind Via Petrovgalerkin Method by Using Legendre Multiwavelet
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Authors
S. Akhavan
- Department of Mathematics Faculty of technical and engineering Islamic Azad University, Khomeinishahr branch Khomeinishahr, Iran.
Abstract
It is of interest to know whether we can solve a singular Fredholm integro-differential equation of the second kind with an infinite or semi-infinite range of integrate via Petrov–Galerkin method by using Legendre multiwavelet. For this purpose, we directly deal with infinite range of integrate. We introduce some change of variables for mapping infinite interval into a finite interval. After that, we use Petrov–Galerkin method with Legendre multiwavelet basis that yields linear system. Numerical results of our example will demonstrate accuracy and efficiency of the proposed method.
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ISRP Style
S. Akhavan, Numerical Solution of Singular Fredholm Integrodifferential Equations of the Second Kind Via Petrovgalerkin Method by Using Legendre Multiwavelet, Journal of Mathematics and Computer Science, 9 (2014), no. 4, 321 - 331
AMA Style
Akhavan S., Numerical Solution of Singular Fredholm Integrodifferential Equations of the Second Kind Via Petrovgalerkin Method by Using Legendre Multiwavelet. J Math Comput SCI-JM. (2014); 9(4):321 - 331
Chicago/Turabian Style
Akhavan, S.. "Numerical Solution of Singular Fredholm Integrodifferential Equations of the Second Kind Via Petrovgalerkin Method by Using Legendre Multiwavelet." Journal of Mathematics and Computer Science, 9, no. 4 (2014): 321 - 331
Keywords
- Fredholm integro–differential equations
- Petrov–Galerkin method
- singularity
- Legendre multiwavelets.
MSC
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