## “School of Physic”

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Paper   IPM / Physic / 6905
School of Physics
Title:   A Method for Solving Systems of Non-Linear Differential Equations with Moving Singularities
Author(s):
 1 S.S. Gousheh 2 H.R. Sepangi 3 K. Ghafoori-Tabrizi
Status:   Published
Journal: Comput. Phys. Commun.
No.:  118
Vol.:  149
Year:  2003
Pages:   135-141
Supported by:  IPM
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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