Numerical solution of Troesch's problem using Christov rational functions

نویسندگان

  • Abbas Saadatmandi Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran
  • Tahereh Abdolahi-Niasar Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran
چکیده مقاله:

We present a collocation method to obtain the approximate solution of Troesch's problem which arises in the confinement of a plasma column by radiation pressure and applied physics. By using the Christov rational functions and collocation points, this method transforms Troesch's problem into a system of nonlinear algebraic equations. The rate of convergence is shown to be exponential. The numerical results obtained by the present method compares favorably with those obtained by various methods earlier in the literature.

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عنوان ژورنال

دوره 3  شماره 4

صفحات  247- 257

تاریخ انتشار 2015-10-01

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