A method for solving systems of non-linear differential equations with moving singularities
arXiv:physics/0210026 · doi:10.1016/S0010-4655(02)00630-6
Abstract
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.
9 pages, 7 eps figures, to appear in Comput. Phys. Com