Improved reproducing kernel method for singularly perturbed differential-difference equations with boundary layer behavior

F.Z. Geng, S.P. Qian and M.G. Cui

Applied Mathematics and Computation, 2015, vol. 252, issue C, 58-63

Abstract: This paper is devoted to the numerical treatment of singularly perturbed differential-difference equations with small delay whose solutions exhibiting boundary layer. The reproducing kernel method presented in the previous work is not valid for singularly perturbed differential-difference equations with small delay. In this work, we will improve the reproducing kernel method in order to obtain accurate approximation to the solutions of considered singularly perturbed differential-difference equations. Two numerical examples are provided to show the performance of the present scheme.

Keywords: Reproducing kernel method; Singularly perturbed problems; Differential-difference equations; Boundary layers (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:252:y:2015:i:c:p:58-63

DOI: 10.1016/j.amc.2014.11.106

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