NDLI: Combining Asymptotic Solution and Numerical Solution for Differential Equation with Small Parameter

Content Provider	IEEE Xplore Digital Library
Author	Xin Cai
Copyright Year	2009
Abstract	Ordinary differential equation with small parameter is considered in this paper. This kind of problem changes rapidly in both side of boundary layer. Firstly, the asymptotic solution of the problem is presented in order one. The asymptotic solution is used to solve the problem outside the boundary layer. Secondly, the analytical solution is decomposed into the smooth component and the singular component in order to improve the computational effect. The bounds for the derivatives of the smooth component and the singular component are studied. Thirdly, the fitted operator method is constructed for both side of boundary layer. The error estimation of numerical method is given also. Finally, numerical experiment is given to support the theoretical result.
Starting Page	201
Ending Page	204
File Size	364194
Page Count	4
File Format	PDF
ISBN	9780769538884
DOI	10.1109/KAM.2009.87
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-11-30
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Electrodes numerical solution Error analysis Knowledge acquisition Differential equations Elasticity asymptotic solution Mathematics Chemical reactors Finite element methods Finite difference methods small parameter
Content Type	Text
Resource Type	Article

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Combining Asymptotic Solution and Numerical Solution for Differential Equation with Small Parameter