کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901038 | 1631725 | 2018 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An ε-uniform numerical method for third order singularly perturbed delay differential equations with discontinuous convection coefficient and source term
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A class of third order singularly perturbed Boundary Value Problems (BVPs) for ordinary delay differential equations with discontinuous convection-diffusion coefficient and source term is considered in this paper. The existence and uniqueness of the solution has been proved. Further, a fitted finite difference method on Shishkin mesh is suggested to solve the problem. Numerical solution converges uniformly to the exact solution. The order of convergence of the numerical method presented here is of almost first order. Numerical results are provided to illustrate the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 331, 15 August 2018, Pages 404-415
Journal: Applied Mathematics and Computation - Volume 331, 15 August 2018, Pages 404-415
نویسندگان
V. Subburayan, R. Mahendran,