numerical solution of troesch's problem using christov rational functions
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abstract
we present a collocation method to obtain the approximate solutionof troesch's problem which arises in the confinement of a plasmacolumn by radiation pressure and applied physics. by using thechristov rational functions and collocation points, this methodtransforms troesch's problem into a system of nonlinear algebraicequations. the rate of convergence is shown to be exponential. thenumerical results obtained by the present method compares favorablywith those obtained by various methods earlier in the literature.
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Journal title:
computational methods for differential equationsجلد ۳، شماره ۴، صفحات ۲۴۷-۲۵۷
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