Numerical solution of singular perturbation problems via deviation arguments
Applied Mathematics and Computation
Numerical solution of singular perturbation problems by a terminal boundary-value technique
Journal of Optimization Theory and Applications
Numerical Methods for Scientists and Engineers
Numerical Methods for Scientists and Engineers
A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems
The Journal of Supercomputing
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A terminal boundary condition for Singularly Perturbed two-Point Boundary value Problems (with left and right layer) is presented. By using a terminal point, the original second order problem is partitioned in to inner and outer region problems. An implicit terminal boundary condition at the terminal point is determined from the outer region problem. The outer region problem with the implicit boundary condition is solved and produces a condition for the inner region problem. The modified inner region problem (using the transformation) is solved as a two-point boundary value problem. We used Chawla's fourth order finite difference method to solve both the inner and outer region problems. The proposed method is iterative on the terminal point. To demonstrate the applicability of the method, we solved seven singular perturbation problems.