Liu Chuanhan. Fourth-Order Accurate Difference Method for the Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(10): 921-929.
Citation: Liu Chuanhan. Fourth-Order Accurate Difference Method for the Singular Perturbation Problem[J]. Applied Mathematics and Mechanics, 1997, 18(10): 921-929.

Fourth-Order Accurate Difference Method for the Singular Perturbation Problem

  • Received Date: 1996-01-08
  • Rev Recd Date: 1997-03-21
  • Publish Date: 1997-10-15
  • 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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