Uniformly Convergent Difference Schemes for First Boundary Value Problem for Elliptic Differential Equations with a Small Parameter at the Highest Derivative

Liu Bi-yue

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(7): 663-673

Liu Bi-yue. Uniformly Convergent Difference Schemes for First Boundary Value Problem for Elliptic Differential Equations with a Small Parameter at the Highest Derivative[J]. Applied Mathematics and Mechanics, 1986, 7(7): 663-673.

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Uniformly Convergent Difference Schemes for First Boundary Value Problem for Elliptic Differential Equations with a Small Parameter at the Highest Derivative

Liu Bi-yue

Nanjing University, Nanjing

Received Date: 1985-01-25
Publish Date: 1986-07-15

Abstract

Abstract

In this paper we consider the Dirichlet problem for elliptic differential equations. A special difference scheme is constructed from the necessary condition of uniform convergence. We also prove the uniform convergence and the asymptotic behavior of the solution of the difference problem, and give the error estimate.

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References(7)

References

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