Publications [#62335] of Nimmi Ramanujam

Papers Published

1. Jayakumar, J. and Ramanujam, N., A computational method for solving quasilinear singular perturbation problems, Appl. Math. Comput. (USA), vol. 71 no. 1 (1995), pp. 1 - 14 [0096-3003(94)00077-H]
   (last updated on 2007/04/13)

   Abstract:
   A class of quasilinear, singularly-perturbed, two-point, boundary value problems for second-order, ordinary differential equations without interior turning points is considered. To solve these problems Newton's method of quasilinearization is adopted. Then the resultant linear problems are solved by a numerical method. This method is a combination of an exponentially-fitted finite difference method and a classical numerical method. Further, it is based on the boundary value technique generally used to solve singularly-perturbed boundary value problems. Error estimates for the numerical solution of linear problems are stated. Some examples are given to illustrate the method

   Keywords:
   boundary-value problems;differential equations;finite difference methods;