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Title

Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra-Fredholm integral equations

Year: 1397
COI: JR_IJNAO-9-1_003
Language: EnglishView: 287
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Authors

s pishbin - Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, P. O. Box ۱۶۵, Iran
j shokri - Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, P. O. Box ۱۶۵, Iran.

Abstract:

It is important to note that mixed systems of first and second-kind Volterra-Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties. We will apply the regularization method to convert this mixed system (ill-posed problem) to system of the second kind Volterra-Fredholm integral equations (well-posed problem). A numerical method based on Chebyshev wavelets is suggested for solving the obtained well-posed problem, and convergence analysis of the method is discussed. For showing efficiency of the method, some test problems, for which the exact solution is known, are considered

Keywords:

Mixed systems of first and second-kind Volterra-Fredholm integral equations , Regularization method , Chebyshev wavelets , Convergence analysis

Paper COI Code

This Paper COI Code is JR_IJNAO-9-1_003. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/992240/

How to Cite to This Paper:

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pishbin, s and shokri, j,1397,Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra-Fredholm integral equations,https://civilica.com/doc/992240

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Type of center: دانشگاه دولتی
Paper count: 13,476
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