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Pishnamaz Mohammadi, Seyed Shojaeddin, Ivaz, Karim. (1402). Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition. سامانه مدیریت نشریات علمی, 11(4), 776-784. doi: 10.22034/cmde.2023.54177.2266
Seyed Shojaeddin Pishnamaz Mohammadi; Karim Ivaz. "Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition". سامانه مدیریت نشریات علمی, 11, 4, 1402, 776-784. doi: 10.22034/cmde.2023.54177.2266
Pishnamaz Mohammadi, Seyed Shojaeddin, Ivaz, Karim. (1402). 'Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition', سامانه مدیریت نشریات علمی, 11(4), pp. 776-784. doi: 10.22034/cmde.2023.54177.2266
Pishnamaz Mohammadi, Seyed Shojaeddin, Ivaz, Karim. Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition. سامانه مدیریت نشریات علمی, 1402; 11(4): 776-784. doi: 10.22034/cmde.2023.54177.2266

Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition

Computational Methods for Differential Equations
مقاله 8، دوره 11، شماره 4، مهر 2023، صفحه 776-784    اصل مقاله (289 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.54177.2266
نویسندگان
Seyed Shojaeddin Pishnamaz Mohammadi؛ Karim Ivaz*
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
چکیده
A numerical technique for the solution of the one-phase Stefan problem for the non-classical heat equation with a convective condition is discussed. This approach is based on a scheme introduced in [16]. The compatibility and convergence of the method is proven. Numerical examples round out the discussion.
کلیدواژه‌ها
Stefan problem؛ non-classical heat equation؛ convective condition؛ Free boundary problem؛ finite difference method
مراجع
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تعداد مشاهده مقاله: 88
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