کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636353 | 1340722 | 2007 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hybrid method for numerical solution of singularly perturbed delay differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Hybrid method for numerical solution of singularly perturbed delay differential equations Hybrid method for numerical solution of singularly perturbed delay differential equations](/preview/png/4636353.png)
چکیده انگلیسی
This paper is concerned with the numerical technique for a singularly perturbed second-order differential–difference equation of the convection–diffusion type with small delay parameter δ whose solution has a single boundary layer. We analyse three difference operators LkN, k = 1, 2, 3 a simple upwind scheme, midpoint upwind scheme and a hybrid scheme, respectively, on a Shishkin mesh to approximate the solution of the problem. The hybrid algorithm uses central difference in the boundary layer region and midpoint upwind scheme outside the boundary layer. We have concluded that the hybrid scheme gives better accuracy. The paper concludes with a few numerical results exhibiting the performance of these three schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 187, Issue 2, 15 April 2007, Pages 797–814
Journal: Applied Mathematics and Computation - Volume 187, Issue 2, 15 April 2007, Pages 797–814
نویسندگان
Mohan K. Kadalbajoo, V.P. Ramesh,