A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
نویسندگان
چکیده مقاله:
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.
منابع مشابه
a hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
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 diffe...
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عنوان ژورنال
دوره 41 شماره 5
صفحات 1235- 1247
تاریخ انتشار 2015-10-01
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