A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition

Bai Qingyuan; Lin Pengcheng

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(2): 181-188

Bai Qingyuan, Lin Pengcheng. A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J]. Applied Mathematics and Mechanics, 1996, 17(2): 181-188.

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A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition

Fuzhou University, Fuzhou 350002, P. R. China

Received Date: 1993-07-04
Publish Date: 1996-02-15

Abstract

Abstract

In the poper, the method of separating singularity is applied to study the uniformly difference scheme of a singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. The uniform convergence on small parameter ε of order one for an Il'in type difference scheme constructed is proved. At the end of the paper, a numerical example is given. The computing results coincide with the theoretical analysis.
- singular perturbation problem,
- difference scheme,
- uniform convergence,
- mixed boundary value condition,
- semilinear ordinary differential equation

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References(5)

References

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