Second-Order Accurate Difference Method for the Singularly Perturbed Problem of Fourth-Order Ordinary Differential Equations

Wang Guo-ying; Chen Ming-lun

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(5): 431-437

Wang Guo-ying, Chen Ming-lun. Second-Order Accurate Difference Method for the Singularly Perturbed Problem of Fourth-Order Ordinary Differential Equations[J]. Applied Mathematics and Mechanics, 1990, 11(5): 431-437.

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Second-Order Accurate Difference Method for the Singularly Perturbed Problem of Fourth-Order Ordinary Differential Equations

Wang Guo-ying¹,
Chen Ming-lun²

1.
Nanjing University, Nanjing;
2.
Chongqing Jiaotong Institute, Chongqing

Received Date: 1989-06-03
Publish Date: 1990-05-15

Abstract

Abstract

In this paper, we construct a uniform second-order difference scheme for a class of boundary value problems of fourth-order ordinary differential equations. Finally, a numerical example is given.

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References(5)

References

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[4]	Stynes,M.and E.O'Riordan,A uniform accurate finite element method for a singular perturbation problem in conservative form,SIAM J.Numer.Anal.,23,2,(1986),369-375.
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