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

S. S. Gousheh·H. R. Sepangi·K. Ghafoori-Tabrizi
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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.

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S. S. Gousheh, H. R. Sepangi, K. Ghafoori-Tabrizi. 2002-10-07. A method for solving systems of non-linear differential equations with moving singularities. https://doi.org/10.1016/s0010-4655(02)00630-6

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