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

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PISHBIN S.; SHOKRI J.

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2019 | Volume:9 | Issue:1 (15) Page(s): 127-150

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Title

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

Author(s)

PISHBIN S. | SHOKRI J. | Issue Writer Certificate

Keywords

Mixed systems of frst and second-kind Volterra{Fredholm in-tegral equationsQ1

Regularization methodQ1

Chebyshev waveletsQ1

Convergence analysisQ1

Abstract

It is important to note that mixed systems of rst 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 prob-lems, for which the exact solution is known, are considered.

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APA: Copy

PISHBIN, S., & SHOKRI, J.. (2019). Regularization technique and numerical analysis of the mixed system of rst and second-kind Volterra{Fredholm integral equations. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 9(1 (15) ), 127-150. SID. https://sid.ir/paper/260833/en

Vancouver: Copy

PISHBIN S., SHOKRI J.. Regularization technique and numerical analysis of the mixed system of rst and second-kind Volterra{Fredholm integral equations. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2019;9(1 (15) ):127-150. Available from: https://sid.ir/paper/260833/en

IEEE: Copy

S. PISHBIN, and J. SHOKRI, “Regularization technique and numerical analysis of the mixed system of rst and second-kind Volterra{Fredholm integral equations,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 9, no. 1 (15) , pp. 127–150, 2019, [Online]. Available: https://sid.ir/paper/260833/en

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