A Difference Method for Singular Perturbation Problem of Hyperbolic-Parabolic Partial Differential Equation

Sheng Jin-reng

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(2): 145-153

Sheng Jin-reng. A Difference Method for Singular Perturbation Problem of Hyperbolic-Parabolic Partial Differential Equation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 145-153.

Citation:

Sheng Jin-reng. A Difference Method for Singular Perturbation Problem of Hyperbolic-Parabolic Partial Differential Equation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 145-153.

Citation:

Sheng Jin-reng. A Difference Method for Singular Perturbation Problem of Hyperbolic-Parabolic Partial Differential Equation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 145-153.

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A Difference Method for Singular Perturbation Problem of Hyperbolic-Parabolic Partial Differential Equation

Sheng Jin-reng

Nanjing University, Nanjing

Received Date: 1984-12-29
Publish Date: 1986-02-15

Abstract

Abstract

In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation. Not only do we take a fitting factor in the equation, but also we put one in the approximation of second initial condition. By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.

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References(6)

References

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