Numerical method with guaranteed accuracy of a double turning point for a radially symmetric solution of the perturbed Gelfand equation
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摘要
We describe a numerical method with guaranteed accuracy to enclose a double turning point for a radially symmetric solution of the perturbed Gelfand equation. We use Nakao's method and a system of equations defined on an extended space to enclose a double turning point. We describe verification procedures in detail and give a numerical example.
论文关键词:65N15,65N30,Numerical Computation with guaranteed accuracy,Perturbed Gelfand equation,Two-parameter-dependent nonlinear problem,Fixed point theorem,Double turning point,Extended system
论文评审过程:Received 20 January 2003, Revised 4 December 2003, Available online 25 February 2004.
论文官网地址:https://doi.org/10.1016/j.cam.2003.12.001