The Application of Runge-Kutta Schemes to Singular Initial Value Problems
نویسندگان
چکیده
A theory for explicit Runge-Kutta schemes applied to the initial value problem for a first-order system of differential equations with a singularity of the first kind is developed. It is shown that, in general, the order of convergence is at most two but that the usual order up to a logarithmic term can be obtained for level three and four schemes applied to specific problems.
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تاریخ انتشار 2010