Numerical Solution of Nonlinear Ordinary Differential Equation for a Turning Point Problem

Lin Peng-cheng; Bai Qing-yuan

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Lin Peng-cheng, Bai Qing-yuan. Numerical Solution of Nonlinear Ordinary Differential Equation for a Turning Point Problem[J]. Applied Mathematics and Mechanics, 1990, 11(11): 989-998.

Citation:

Lin Peng-cheng, Bai Qing-yuan. Numerical Solution of Nonlinear Ordinary Differential Equation for a Turning Point Problem[J]. Applied Mathematics and Mechanics, 1990, 11(11): 989-998.

Citation:

Lin Peng-cheng, Bai Qing-yuan. Numerical Solution of Nonlinear Ordinary Differential Equation for a Turning Point Problem[J]. Applied Mathematics and Mechanics, 1990, 11(11): 989-998.

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Numerical Solution of Nonlinear Ordinary Differential Equation for a Turning Point Problem

Fuzhou University, Fuzhou

Received Date: 1989-11-13
Publish Date: 1990-11-15

Abstract

Abstract

By using the method in [3], several useful estimations of the derivatives of the solution of the boundary value problem for a nonlinear ordinary differential equation with a turning point are obtained.With the help of the technique in [4], the uniform convergence on the small parameter ε for a difference scheme is proved.At the end of this paper, a numerical example is given.The numerical result coincides with theoretical analysis.
- nonlinear ordinary differential equation,
- turning point,
- singular perturbation problem,
- difference scheme,
- uniform convergence

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References(9)

References

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