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

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Lubo, Gemeda Tolessa, Duressa, Gemechis File. (1401). Linear B-spline finite element Method for solving delay reaction diffusion equation. سامانه مدیریت نشریات علمی, 11(1), 161-174. doi: 10.22034/cmde.2022.49678.2066
Gemeda Tolessa Lubo; Gemechis File Duressa. "Linear B-spline finite element Method for solving delay reaction diffusion equation". سامانه مدیریت نشریات علمی, 11, 1, 1401, 161-174. doi: 10.22034/cmde.2022.49678.2066
Lubo, Gemeda Tolessa, Duressa, Gemechis File. (1401). 'Linear B-spline finite element Method for solving delay reaction diffusion equation', سامانه مدیریت نشریات علمی, 11(1), pp. 161-174. doi: 10.22034/cmde.2022.49678.2066
Lubo, Gemeda Tolessa, Duressa, Gemechis File. Linear B-spline finite element Method for solving delay reaction diffusion equation. سامانه مدیریت نشریات علمی, 1401; 11(1): 161-174. doi: 10.22034/cmde.2022.49678.2066

Linear B-spline finite element Method for solving delay reaction diffusion equation

Computational Methods for Differential Equations
مقاله 12، دوره 11، شماره 1، فروردین 2023، صفحه 161-174    اصل مقاله (764.89 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.49678.2066
نویسندگان
Gemeda Tolessa Lubo* 1؛ Gemechis File Duressa2
1Department of Mathematics‎, ‎Wollega University‎, ‎Nekemte‎, ‎Ethiopia.
2Department of Mathematics‎, ‎Jimma University‎, ‎Jimma‎, ‎Ethiopia.
چکیده
This paper is concerned with the numerical treatment of delay reaction-diffusion with the Dirichlet boundary condition. The finite element method with linear B-spline basis functions is utilized to discretize the space variable. The Crank-Nicolson method is used for the processes of time discretization. Sufficient and necessary conditions for the numerical method to be asymptotically stable are investigated. The convergence of the numerical method is studied. Some numerical experiments are performed to verify the applicability of the numerical method. 
کلیدواژه‌ها
Delay reaction diffusion equation؛ Crank Nicolson؛ Linear B-spline؛ Finite element method؛ Asymtotic stability؛ Convergence
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