The method of inner boundary condition: A new approach for solving singular perturbation problems
The main purpose of this paper is to describe a general computational method based on the method of inner bondary condition for solving linear singularly perturbed boundary value problems. The authors divide the original problem into two problems, an inner region problem and an outer region problem. Asymptotic expansion is used to obtain the terminal boundary condition. The outer region problem is efficiently solved by employing the classical finite difference scheme. The method is iterative on the terminal point. Two numerical examples are solved to demonstrate the efficiency of the method. Computational results are compared with the exact solutions.
scientific article; zbMATH DE number 3938472