A Coupling Method of Difference with High Order Accuracy and Boundary Integral Equation for Evolutionary Equation and Its Error Estimates

Yang Dan-ping

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(9): 831-844

Yang Dan-ping. A Coupling Method of Difference with High Order Accuracy and Boundary Integral Equation for Evolutionary Equation and Its Error Estimates[J]. Applied Mathematics and Mechanics, 1991, 12(9): 831-844.

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A Coupling Method of Difference with High Order Accuracy and Boundary Integral Equation for Evolutionary Equation and Its Error Estimates

Yang Dan-ping

Institute of Mathematics of Shandong University, Jinan

Received Date: 1990-03-09
Publish Date: 1991-09-15

Abstract

Abstract

In the present paper,a new numerical method for solving initial-boundary value problems of evolutionary equations is proposed and studied,combining difference method with high accuracy with boundary integral equation method.The numerical approximate schemes for both problems on a bounded or unbounded domain in R³ are proposed and their prior error estimates are obtained.
- difference with high order accuracy,
- boundary finite element,
- evolutionary equation,
- error estimates,

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References(3)

References

[1]	羊丹平,非线性抛物型初边值问题的差分边界有限元藕合方法及误差估计(待发表).
[2]	Lions,J.L.and E.Magenes,Non-Homogeneous Boundary Value Problems and Applications,I,Springer-Verlag,New York,Heidelberg,Berlin(1973).
[3]	Adams,R.A.,Sobolev Spaces,Acad.Press,New York(1975).