Numerical solution of Cauchy problems with multiple poles of integer order
期刊名字: Discrete and Continuous Models and Applied Computational Science (Vol.30, No. 2)Publication Date: 2022-05-04
论文作者 : Aleksandr Belov; Nikolay Kalitkin;
起始页码 : 105-114
关键字 : Cauchy problem; singularities; continuation through a pole; multiple poles;
论文摘要
We consider Cauchy problem for ordinary differential equation with solution possessing a sequence of multiple poles. We propose the generalized reciprocal function method. It reduces calculation of a multiple pole to retrieval of a simple zero of accordingly chosen function. Advantages of this approach are illustrated by numerical examples. We propose two representative test problems which constitute interest for verification of other numerical methods for problems with poles.
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更新日期: 2022-05-04 05:38:20