دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,361
تعداد مقالات16,731
تعداد مشاهده مقاله53,984,372
تعداد دریافت فایل اصل مقاله16,669,142
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
  • [1] O. A. Arqub and B. Maayah, Adaptive the Dirichlet model of mobile/immobile advection/dispersion in a time- fractional sense with the reproducing kernel computational approach: Formulations and approximations, Internat. J. Modern Phys., (2022), 2350179.
  • [2] O. A. Arqub, H. Alsulami, and M. Alhodaly, Numerical Hilbert space solution of fractional Sobolev equation in (1+1)-dimensional space. Mathematical Sciences, Mathematical Sciences, (2022), 1-12.
  • [3] O. A. Arqub,The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations, Math. Meth. in the Appl. Sciences.37 (2016), 4549-4562.
  • [4] B. Babayar-Razlighi, K. Ivaz, and M.R. Mokhtarzadeh, Newton-Product Integration for a Stefan Problem with Kinetics, J. Sci. I. R. of Iran, 22 (2011), 51–61.
  • [5] B. Babayar-Razlighi, K. Ivaz, M. R. Mokhtarzadeh, and A. N. Badamchizadeh, Newton-product integration for a two-phase Stefan problem with kinetics, Bulletin of the Iranian Mathematical Society, 38 (2012), 853-868.
  • [6] H. Badawi, O. A. Arqub, and N. Shawagheh, Well-posedness and numerical simulations employing Legendre- shifted spectral approach for Caputo–Fabrizio fractional stochastic integrodifferential equations, Internat. J. Mod- ern Phys. B ,34 (2023), 2350070.
  • [7] S. Banei and K. Shanazari , Solving the forward-backward heat equation with a non-overlapping domain decompo- sition method based on multiquadric RBF meshfree method, Computational Methods for Differential Equations, 9 (2021), 1083-1099.
  • [8] A. C. Briozzo and D. A. Tarzia, A Stefan problem for a non-classical heat equation with a convective condition, Applied Mathematics and Computation, 217 (2010), 4051-4060.
  • [9] J. R. Cannon and M. Primicerio, Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary, Journal of Mathematical Analysis and Applications, 35 (1971), 361-373.
  • [10] J. Crank,Free and moving boundary problems, Oxford, Clarendon press, (1984).
  • [11] M. Dehghan and S. Karimi Jafarbigloom, A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems, Computational Methods for Differential Equations, 9 (2021), 410-426.
  • [12] K. Ivaz and A. Beiranvand, Solving The Stefan Problem with Kinetics,Computational Methods for Differential Equations, 2 (2014), 37-49.
  • [13] K. Ivaz, M. Asadpour Fazlallahi, A. Khastan, and J. J. Nieto, Fuzzy one-phase Stefan problem, Appl. Comput. Math., 22 (2023), 66-79.
  • [14] K. Ivaz, Uniqueness of Solution for a Class of Stefan Problems, J. Sci. I. R. Iran, 13 (2002), 71-74.
  • [15] S. Kutluay, A. R. Bahadir, and A. Ozdes, The numerical solution of one-phase classical Stefan problem, Journal of computational and applied mathematics, 81 (1997), 135-144.
  • [16] A. Vasilios, Mathematical modeling of melting and freezing processes, Routledge, 2017.
آمار
تعداد مشاهده مقاله: 279
تعداد دریافت فایل اصل مقاله: 534


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب