ON CONVERGENCE AND STABILITYCONDITIONS OF HOMOTOPY PERTURBATIONMETHOD FOR AN INVERSE HEAT CONDUCTIONPROBLEM

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JANNATI Q.; ZAKERI A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2015 | Volume:5 | Issue:2 Page(s): 75-93

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Title

ON CONVERGENCE AND STABILITYCONDITIONS OF HOMOTOPY PERTURBATIONMETHOD FOR AN INVERSE HEAT CONDUCTIONPROBLEM

Author(s)

JANNATI Q. | ZAKERI A. | Issue Writer Certificate

Keywords

HOMOTOPY PERTURBATION METHODQ2

DIQ2

USION EQUATIONQ2

DISCERETIZ-ING METHODQ2

INVERSE PROBLEMQ2

Abstract

In this paper, we investigate the application of the Homotopy Pertur-bation Method (HPM) for solving a one-dimensional nonlinear inverse heatconduction problem. In this problem the thermal conductivity term is a lin-ear function with respect to unknown heat temperature in bounded interval. Furthermore, the temperature histories are unknown at the end point of theinterval. This problem is ill-posed. So, using the nite DI; erence scheme anddiscretizing the time interval, the partial DI; erential equation is reduced intoa System of Nonlinear Ordinary DI; erential Equations (SNODE's). Then, using HPM, the approximated solution of the obtained Ordinary DI; eren-tial Equation (ODE) system is determined. In the sequel, the stability andconvergence conditions of the proposed method are investigated. Finally, anupper bound of the error is provided.

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APA: Copy

JANNATI, Q.. (1394). بررسی شرایط همگرایی و پایداری یک جواب تقریبی مسأله معکوس هدایت گرما توسط روشاختلال هموتوپی. مجله ایرانی آنالیز عددی و بهینه سازی, 5(2 ), 75-93. SID. https://sid.ir/paper/260839/en

Vancouver: Copy

JANNATI Q.. بررسی شرایط همگرایی و پایداری یک جواب تقریبی مسأله معکوس هدایت گرما توسط روشاختلال هموتوپی. مجله ایرانی آنالیز عددی و بهینه سازی[Internet]. 1394;5(2 ):75-93. Available from: https://sid.ir/paper/260839/en

IEEE: Copy

Q. JANNATI, “بررسی شرایط همگرایی و پایداری یک جواب تقریبی مسأله معکوس هدایت گرما توسط روشاختلال هموتوپی,” مجله ایرانی آنالیز عددی و بهینه سازی, vol. 5, no. 2 , pp. 75–93, 1394, [Online]. Available: https://sid.ir/paper/260839/en

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