Solving a class of singularly perturbed partial differential equation by using the perturbation method and reproducing kernel method. (English) Zbl 1474.65339

Wang, Yu-Lan; Yu, Hao; Tan, Fu-Gui; Qu, Shanshan

Abstr. Appl. Anal. 2014, Article ID 615840, 5 p. (2014).

Summary: We give the analytical solution and the series expansion solution of a class of singularly perturbed partial differential equation (SPPDE) by combining traditional perturbation method (PM) and reproducing kernel method (RKM). The numerical example is studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.

MSC:

65M55	Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
35L50	Initial-boundary value problems for first-order hyperbolic systems
35B25	Singular perturbations in context of PDEs
35L65	Hyperbolic conservation laws

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