A STABLE NUMERICAL SOLUTION OF AN INVERSE MOVING BOUNDARY PROBLEM OF HEAT CONDUCTION USING DISCRETE MOLLIFICATION APPROACH

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GARSHASBI MORTEZA; DASTOUR HATEF; JALALVAND MAHDI

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ISSN: 2588-4824

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Journal: ADVANCES IN MATHEMATICAL MODELING Year:2012 | Volume:2 | Issue:1 Page(s): 47-60

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Title

A STABLE NUMERICAL SOLUTION OF AN INVERSE MOVING BOUNDARY PROBLEM OF HEAT CONDUCTION USING DISCRETE MOLLIFICATION APPROACH

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GARSHASBI MORTEZA | DASTOUR HATEF | JALALVAND MAHDI | Issue Writer Certificate

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Abstract

In this paper the application of marching scheme and mollification approach to solve a one dimensional inverse moving boundary problem for the heat equation is investigated. The problem is considered with noisy data. A regularization method based on marching scheme and discrete mollification approach is developed to solve the proposed problem and the stability and convergence of numerical solution is proved. To show the ability and efficiency of the proposed method, some numerical experiments are investigated.

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APA: Copy

GARSHASBI, MORTEZA, DASTOUR, HATEF, & JALALVAND, MAHDI. (2012). A STABLE NUMERICAL SOLUTION OF AN INVERSE MOVING BOUNDARY PROBLEM OF HEAT CONDUCTION USING DISCRETE MOLLIFICATION APPROACH. ADVANCES IN MATHEMATICAL MODELING, 2(1), 47-60. SID. https://sid.ir/paper/243931/en

Vancouver: Copy

GARSHASBI MORTEZA, DASTOUR HATEF, JALALVAND MAHDI. A STABLE NUMERICAL SOLUTION OF AN INVERSE MOVING BOUNDARY PROBLEM OF HEAT CONDUCTION USING DISCRETE MOLLIFICATION APPROACH. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2012;2(1):47-60. Available from: https://sid.ir/paper/243931/en

IEEE: Copy

MORTEZA GARSHASBI, HATEF DASTOUR, and MAHDI JALALVAND, “A STABLE NUMERICAL SOLUTION OF AN INVERSE MOVING BOUNDARY PROBLEM OF HEAT CONDUCTION USING DISCRETE MOLLIFICATION APPROACH,” ADVANCES IN MATHEMATICAL MODELING, vol. 2, no. 1, pp. 47–60, 2012, [Online]. Available: https://sid.ir/paper/243931/en

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