An Exponentially Fitted Difference Scheme for the Hyperbolic-hyperbolic Singularly Perturbed Initial-Boundary Value Problem

Su Yu-chcng; Lin Ping

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(3): 219-227

Su Yu-chcng, Lin Ping. An Exponentially Fitted Difference Scheme for the Hyperbolic-hyperbolic Singularly Perturbed Initial-Boundary Value Problem[J]. Applied Mathematics and Mechanics, 1991, 12(3): 219-227.

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An Exponentially Fitted Difference Scheme for the Hyperbolic-hyperbolic Singularly Perturbed Initial-Boundary Value Problem

Nanjing Unirersity, Nanjing

Received Date: 1990-04-24
Publish Date: 1991-03-15

Abstract

Abstract

In this paper we discuss, an initial-boundary value problem of hyperbolic type with first derivative with respect to x. The asymptotic solution is constructed and its uniform validity is proved under weader compatibility conditions. Then we develop an exponentially fitted difference scheme and establish discrete energy inequality. Finally, we prove that the solution of difference problem uniformly converges to the solution of the original problem.
- hyperbolic equation,
- singular perturbation,
- exponential fitting,
- difference scheme,
- boundary value problem

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References(6)

References

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