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FOURTH-ORDER ACCURATE DIFFERENCE METHOD FOR THE SINGULAR PERTURBATION PROBLEM
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作者 刘传汉 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第10期987-995,共9页
In this paper, the numerical solution of fourth-order ordinary differential equations is considered. To approximate the differential equation, the Hermitian scheme on a special nonequidistant mesh is used. The fourth-... In this paper, the numerical solution of fourth-order ordinary differential equations is considered. To approximate the differential equation, the Hermitian scheme on a special nonequidistant mesh is used. The fourth-order convergence uniform in the perturbation parameter is proved. The numerical result shows the pointwise convergence, too. 展开更多
关键词 nonequidistant mesh mesh generating function Hermitian scheme uniformly convergence
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