Booster Method for Singularly-Perturbed One-Dimensional Reaction-Diffusion Neumann Problems |
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| Authors: | S Natesan N Ramanujam |
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| Institution: | (1) Department of Mathematics, Bharathidasan University, Tiruchirappalli, India;(2) Department of Mathematics, Bharathidasan University, Tiruchirappalli, India |
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| 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. |
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| Keywords: | Singular perturbations self-adjoint boundary-value problems asymptotic approximations boundary layers finite-difference schemes |
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