International Journal of Computer Mathematics · 2004 · 20 citations · 3 references
ComputingComputational EngineeringComputer ScienceComputational GeometryComputational MechanicsFinite Element MethodsConvergence AnalysisMesh GenerationNumerical AlgorithmsNumerical AnalysisPerturbation MethodsSingular Perturbation TheoryBoundary Value Problem SolversConvergenceMesh Convergence AnalysisMultipoint Boundary Value ProblemsSingularly Perturbed Boundary Value ProblemsTwo-point Boundary Value ProblemsTwo-point Boundary-value FormulationUniform Convergence
We develop B-spline method for solving a class of singular singularly perturbed two-point boundary value problems We use the fitted mesh technique to generate piecewise uniform mesh, and use the B-spline method which leads to a tridiagonal linear system. The convergence analysis is given and the method is shown to have uniform convergence. Numerical illustrations are given in the end to demonstrate the efficiency of our method.
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