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Information Journal Paper

Title

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

Pages

  47-60

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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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