On the behaviour of a differential equation solution in the neighborhood of a singular point (Q2761532)
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scientific article; zbMATH DE number 1685518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the behaviour of a differential equation solution in the neighborhood of a singular point |
scientific article; zbMATH DE number 1685518 |
Statements
6 January 2002
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system of differential equations
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singular point
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method of successive approximations
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Laplace transform
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Runge-Kutta method
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On the behaviour of a differential equation solution in the neighborhood of a singular point (English)
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This paper deals with the numerical solution of the system of differential equations NEWLINE\[NEWLINEdx/dr=(a-b/r)y,\qquad dy/dr=(a+b/r)x.NEWLINE\]NEWLINE It is known that \(\lim_{r\to+\infty} x(r)=0\), \(\lim_{r\to+\infty} y(r)=0\). The solution is searched for \(r\in (0,1)\). Using the Laplace transform and the method of successive approximations the author obtains the numerical solution of the considered system in the neighborhood of a singular point.
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