Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets

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BABAYAR RAZLIGHI B.

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Journal: Journal of Sciences, Islamic Republic of Iran Year:2019 | Volume:30 | Issue:4 Page(s): 355-362

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Title

Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets

Author(s)

BABAYAR RAZLIGHI B. | Issue Writer Certificate

Keywords

Volterra integral equation of the first kindQ1

Heat equationQ1

Numerical solutionQ2

Second kind Chebyshev waveletsQ1

Free boundaryQ1

Abstract

In this paper we reduce a Free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we apply the Chebyshev wavelets to solve the integral equation. Numerical implementation of the method is illustrated by two benchmark problems originated from heat transfer. The behavior of the initial and Free boundary heat functions along the position axis during the time have been shown through some three dimensional plots. The convergence of the method is pointed in the end of section 2. The numerical examples show the accuracy and applicability of the method from application and programming points of views.

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APA: Copy

BABAYAR RAZLIGHI, B.. (2019). Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 30(4 ), 355-362. SID. https://sid.ir/paper/362082/en

Vancouver: Copy

BABAYAR RAZLIGHI B.. Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2019;30(4 ):355-362. Available from: https://sid.ir/paper/362082/en

IEEE: Copy

B. BABAYAR RAZLIGHI, “Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 30, no. 4 , pp. 355–362, 2019, [Online]. Available: https://sid.ir/paper/362082/en

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