Papers Published

1. Natesan, S. and Ramanujam, N., Booster method for singularly-perturbed one-dimensional reaction-diffusion Neumann problems, J. Optim. Theory Appl. (USA), vol. 104 no. 1 (2000), pp. 175 - 94 [A:1004637024562] .
   (last updated on 2007/04/13)

   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:
   approximation theory;boundary-value problems;differential equations;finite difference methods;