A method for solving systems of non-linear differential equations with moving singularities
计算物理
2009-11-07 v1 广义相对论与量子宇宙学
高能物理 - 理论
摘要
We present a method for solving a class of initial valued, coupled, non-linear differential equations with `moving singularities' subject to some subsidiary conditions. We show that this type of singularities can be adequately treated by establishing certain `moving' jump conditions across them. We show how a first integral of the differential equations, if available, can also be used for checking the accuracy of the numerical solution.
引用
@article{arxiv.physics/0210026,
title = {A method for solving systems of non-linear differential equations with moving singularities},
author = {S. S. Gousheh and H. R. Sepangi and K. Ghafoori-Tabrizi},
journal= {arXiv preprint arXiv:physics/0210026},
year = {2009}
}
备注
9 pages, 7 eps figures, to appear in Comput. Phys. Com