Numerical Solution of the Singularly Perturbed Problem for the Hyperbolic Equation with Initial Jump

Su Yu-cheng; Lin Ping

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Su Yu-cheng, Lin Ping. Numerical Solution of the Singularly Perturbed Problem for the Hyperbolic Equation with Initial Jump[J]. Applied Mathematics and Mechanics, 1990, 11(8): 665-670.

Citation:

Su Yu-cheng, Lin Ping. Numerical Solution of the Singularly Perturbed Problem for the Hyperbolic Equation with Initial Jump[J]. Applied Mathematics and Mechanics, 1990, 11(8): 665-670.

Citation:

Su Yu-cheng, Lin Ping. Numerical Solution of the Singularly Perturbed Problem for the Hyperbolic Equation with Initial Jump[J]. Applied Mathematics and Mechanics, 1990, 11(8): 665-670.

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Numerical Solution of the Singularly Perturbed Problem for the Hyperbolic Equation with Initial Jump

Nanjing University, Nanjing

Received Date: 1989-06-04
Publish Date: 1990-08-15

Abstract

Abstract

In this paper we consider the initial-boundary value problem for a second order hyperbolic equation with initial jump. The bounds on the derivatives of the exact solution are given. Then a difference scheme is constructed on a non-uniform grid. Finally, uniform convergence of the difference solution is proved in the sense of the discrete energy norm.

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References(13)

References

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