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FOURTH-ORDER ACCURATE DIFFERENCE METHOD FOR THE SINGULAR PERTURBATION PROBLEM

FOURTH-ORDER ACCURATE DIFFERENCE METHOD FOR THE SINGULAR PERTURBATION PROBLEM
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摘要 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. 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.
作者 刘传汉
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第10期987-995,共9页 应用数学和力学(英文版)
关键词 nonequidistant mesh mesh generating function Hermitian scheme uniformly convergence nonequidistant mesh mesh generating function Hermitian scheme uniformly convergence
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