An efficient approach for solving stiff nonlinear boundary value problems
Numerical Analysis
2018-04-20 v8
Abstract
A new method for solving stiff boundary value problems is described and compared to other known approaches using the Troesch's problem as a test example. The method is based on the general idea of alternate approximation of either the unknown function or its inverse and has a genuine "immunity" towards numerical difficulties invoked by the rapid variation (stiffness) of the unknown solution. A c++ implementation of the proposed method is available at https://github.com/imathsoft/MathSoftDevelopment .
Cite
@article{arxiv.1601.04272,
title = {An efficient approach for solving stiff nonlinear boundary value problems},
author = {V. L. Makarov and D. V. Dragunov},
journal= {arXiv preprint arXiv:1601.04272},
year = {2018}
}
Comments
28 pages