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.
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References
Yang Dan-ping, A coupling method of difference and boundary finite element for initial boundary value problem of non-linear parabolic equation and its error estimates. (to appear)
Lions, J. L. and E. Magenes,Non-Homogeneous Boundary Value Problems and Applications, I, Springer-Verlag, New York, Heidelberg, Berlin (1973)
Adams, R. A.,Sobolev Spaces, Acad. Press, New York (1975).
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Communicated by Su Yu-cheng
This research was supported by the National Natural Science Foundation of China.
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Dan-ping, Y. A coupling method of difference with high order accuracy and boundary integral equation for evolutionary equation and its error estimates. Appl Math Mech 12, 891–905 (1991). https://doi.org/10.1007/BF02458254
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DOI: https://doi.org/10.1007/BF02458254