Completely Exponentially Fitted Finite Difference Methods for Problems of Turning Point

Chen Ming-lun; Wang Guo-ying

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Chen Ming-lun, Wang Guo-ying. Completely Exponentially Fitted Finite Difference Methods for Problems of Turning Point[J]. Applied Mathematics and Mechanics, 1990, 11(1): 67-77.

Citation:

Chen Ming-lun, Wang Guo-ying. Completely Exponentially Fitted Finite Difference Methods for Problems of Turning Point[J]. Applied Mathematics and Mechanics, 1990, 11(1): 67-77.

Citation:

Chen Ming-lun, Wang Guo-ying. Completely Exponentially Fitted Finite Difference Methods for Problems of Turning Point[J]. Applied Mathematics and Mechanics, 1990, 11(1): 67-77.

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Completely Exponentially Fitted Finite Difference Methods for Problems of Turning Point

Chen Ming-lun¹,
Wang Guo-ying²

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

Received Date: 1988-05-05
Publish Date: 1990-01-15

Abstract

Abstract

In this paper we construct a completely exponentially fitted finite difference scheme for the boundary value problem of differential equation with turning points, extending Miller's method^[1] and simplifying the method of the proof. We prove the first order uniform convergence of the scheme. The numerical results show that it is better than Il'in's scheme.

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References(13)

References

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