a hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
نویسندگان
چکیده
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:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 41
شماره 5 2015
میزبانی شده توسط پلتفرم ابری doprax.com
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