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Cheru, Shegaye, Duressa, Gemechis, Mekonnen, Tariku. (1404). ROBUST NUMERICAL APPROACH FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS WITH DISCONTINUOUS CONVECTION COEFFICIENTS AND SOURCE TERMS. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.63426.2831
Shegaye Lema Cheru; Gemechis File Duressa; Tariku Birabasa Mekonnen. "ROBUST NUMERICAL APPROACH FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS WITH DISCONTINUOUS CONVECTION COEFFICIENTS AND SOURCE TERMS". سامانه مدیریت نشریات علمی, , , 1404, -. doi: 10.22034/cmde.2025.63426.2831
Cheru, Shegaye, Duressa, Gemechis, Mekonnen, Tariku. (1404). 'ROBUST NUMERICAL APPROACH FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS WITH DISCONTINUOUS CONVECTION COEFFICIENTS AND SOURCE TERMS', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.63426.2831
Cheru, Shegaye, Duressa, Gemechis, Mekonnen, Tariku. ROBUST NUMERICAL APPROACH FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS WITH DISCONTINUOUS CONVECTION COEFFICIENTS AND SOURCE TERMS. سامانه مدیریت نشریات علمی, 1404; (): -. doi: 10.22034/cmde.2025.63426.2831

ROBUST NUMERICAL APPROACH FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS WITH DISCONTINUOUS CONVECTION COEFFICIENTS AND SOURCE TERMS

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 شهریور 1404    اصل مقاله (2.24 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.63426.2831
نویسندگان
Shegaye Lema Cheru* 1؛ Gemechis File Duressa2؛ Tariku Birabasa Mekonnen1
1Department of Mathematics, Wollega University, Nekemte, Ethiopia.
2Department of Mathematics, Jimma University, Jimma, Ethiopia.
چکیده
This study explores the numerical method of 1-D singularly perturbed parabolic problems, influenced by two distinct parameters affecting diffusion and convection. With discontinuous convection and source terms, the solutions exhibit boundary and interior layers due to the perturbations and discontinuities. The time variable is first discretized using the implicit Euler method on a uniform mesh, followed by spatial discretization of the semi-discrete problems with a non-polynomial cubic spline incorporating an exponential fitting factor. The method is shown to be first-order accurate and uniformly convergent. Its efficiency is demonstrated through four test cases, yielding more precise results than those reported in existing methods.
کلیدواژه‌ها
Singularly perturbed problems؛ Discontinuous convection and source term؛ Implicit Euler Method؛ Non-polynomial cubic spline
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تعداد مشاهده مقاله: 49
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