Booster Method for Singularly-Perturbed One-Dimensional Convection-Diffusion Neumann Problems

S. Natesan and N. Ramanujam
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S. Natesan: Bharathidasan University
N. Ramanujam: Bharathidasan University

Journal of Optimization Theory and Applications, 1998, vol. 99, issue 1, No 4, 53-72

Abstract: Abstract An improved numerical method for singularly-perturbed two-point boundary-value problems for second-order ordinary differential equations subject to Neumann-type boundary conditions is proposed. In this method, an asymptotic approximation is incorporated into a finite-difference scheme to improve the numerical solution. Uniform error estimates are derived when implemented in known difference schemes. Numerical results are presented in support of the proposed method.

Keywords: Singular-perturbation problems; asymptotic approximations; boundary layers; finite-difference schemes; numerical solution of differential equations (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1021796010050

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