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A Boundary Value Approach for a Class of Singularly Perturbed Problems with Spike-Type Contrast Structure

Author: SongCi
Tutor: LiuYongMing
School: East China Normal University
Course: Applied Mathematics
Keywords: Boundary Singular perturbation Internal layer Boundary layer Pulse solution Second order semilinear
CLC: O175.8
Type: Master's thesis
Year: 2011
Downloads: 5
Quote: 0
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Abstract


Boundary value method for solving the the singular perturbed boundary value problem has a pulse -like space control structure internal layer problems , first of all, from the the internal layer transfer point t * at the original problem is divided into left and right . Then the boundary value method can be , respectively, corresponding to around issues of non- singular perturbation equation . directly by the boundary value problem for the boundary layer , the corresponding non-singular perturbed equations . text is divided into four chapters . introductory part briefly a pulse -like space control structure the singular perturbation research background , significance of this study . chapter semilinear Dirichlet problem in the second with a pulse -like space control structure , the boundary value method for solving problems , such as Chapter cited some numerical examples and numerical experiments verify the effectiveness of the method of boundary value . fourth chapter is the conclusion of the article .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems
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