Booster Method for Singularly-Perturbed One-Dimensional Reaction-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, 2000, vol. 104, issue 1, No 11, 175-194

Abstract: Abstract A numerical method for singularly-perturbed self-adjoint boundary-value problems for second-order ordinary differential equations subject to Neumann boundary conditions is proposed. In this method (booster method), an asymptotic approximation is incorporated into a finite-difference scheme to improve the numerical solution. Uniform error estimates are derived for this method when implemented in known difference schemes. Numerical examples are presented to illustrate the present method.

Keywords: Singular perturbations; self-adjoint boundary-value problems; asymptotic approximations; boundary layers; finite-difference schemes (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004637024562

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