A method for solving systems of non-linear differential equations with moving singularities

Details A method for solving systems of non-linear differential equations with moving singularities A method for solving systems of non-linear differential equations with moving singularities

2002-10-07

arxiv.org/abs/physics/0210026v1

Comput.Phys.Commun. 149 (2003) 135-141

Physics

Computational Physics

9 pages, 7 eps figures, to appear in Comput. Phys. Com

Scientific paper

10.1016/S0010-4655(02)00630-6

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.

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