Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (10): 987-995.

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FOURTH-ORDER ACCURATE DIFFERENCE METHOD FOR THE SINGULAR PERTURBATION PROBLEM

Liu Chuanhan   

  1. College of Computer and Information Engineering, Hehai University, Nanjing 210098, P. R. China
  • Online:1997-10-18 Published:1997-10-18

Abstract: 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 pomtwise convergence, too.

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