Numerical Solution of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods
arXiv:1702.023285 citationsh-index: 37
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This work provides numerical methods for solving singularly perturbed problems, but it is an incremental application of existing techniques.
The paper applies Galerkin and subdomain Galerkin methods with quadratic B-splines on geometrically graded meshes to solve singularly perturbed boundary value problems, achieving solutions that match analytical results for test problems.
In this paper, numerical solutions of singularly perturbed boundary value problems are given by using variants of finite element method. Both Galerkin and subdomain Galerkin method based on quadratic B-spline functions are applied over the geometrically graded. Results of some text problems are compated with analytical solutions of the singularly perturbed problem