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Rashidinia, Jalil, Mohmedi, Elham. (1400). Numerical solution for solving fractional parabolic partial differential equations. سامانه مدیریت نشریات علمی, 10(1), 121-143. doi: 10.22034/cmde.2021.41150.1787
Jalil Rashidinia; Elham Mohmedi. "Numerical solution for solving fractional parabolic partial differential equations". سامانه مدیریت نشریات علمی, 10, 1, 1400, 121-143. doi: 10.22034/cmde.2021.41150.1787
Rashidinia, Jalil, Mohmedi, Elham. (1400). 'Numerical solution for solving fractional parabolic partial differential equations', سامانه مدیریت نشریات علمی, 10(1), pp. 121-143. doi: 10.22034/cmde.2021.41150.1787
Rashidinia, Jalil, Mohmedi, Elham. Numerical solution for solving fractional parabolic partial differential equations. سامانه مدیریت نشریات علمی, 1400; 10(1): 121-143. doi: 10.22034/cmde.2021.41150.1787

Numerical solution for solving fractional parabolic partial differential equations

Computational Methods for Differential Equations
مقاله 9، دوره 10، شماره 1، فروردین 2022، صفحه 121-143    اصل مقاله (265.77 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.41150.1787
نویسندگان
Jalil Rashidinia* ؛ Elham Mohmedi
School of Mathematics, Iran University of Science and Technology, Tehran, Iran.
چکیده
In this paper, a reliable numerical scheme is developed and reviewed in order to obtain an approximate solution of time-fractional parabolic partial differential equations. The introduced scheme is based on Legendre tau spectral approximation and the time-fractional derivative is employed in the Caputo sense. The L2 convergence analysis of the numerical method is analyzed. Numerical results for different examples are examined to verify the accuracy of the spectral method and justification the theoretical analysis and to compare with other existing methods in the literatures.
کلیدواژه‌ها
Time fractional parabolic partial differential equations؛ Caputo derivative؛ Shifted Legendre tau method
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