Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China
Abstract
The aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay. The method is a combination of the asymptotic expansion technique and the reproducing kernel method (RKM). First an asymptotic expansion for the solution of the given singularly perturbed delayed boundary value problem is constructed. Then the reduced regular delayed differential equation is solved analytically using the RKM. An error estimate and two numerical examples are provided to illustrate the effectiveness of the present method. The results of numerical examples show that the present method is accurate and efficient.
Geng, F. Z., & Qian, S. P. (2015). A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer. Bulletin of the Iranian Mathematical Society, 41(5), 1235-1247.
MLA
F. Z. Geng; S. P. Qian. "A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer". Bulletin of the Iranian Mathematical Society, 41, 5, 2015, 1235-1247.
HARVARD
Geng, F. Z., Qian, S. P. (2015). 'A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer', Bulletin of the Iranian Mathematical Society, 41(5), pp. 1235-1247.
VANCOUVER
Geng, F. Z., Qian, S. P. A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer. Bulletin of the Iranian Mathematical Society, 2015; 41(5): 1235-1247.
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