Abstract
For the three-dimensional nonlinear two-phase displacement problem, the modified upwind finite difference fractional steps schemes were put forward. Some techniques, such as calculus of variations, induction hypothesis, decomposition of high order difference operators, the theory of prior estimates and techniques were used. Optimal order estimates were derived for the error in the approximation solution. These methods have been successfully used to predict the consequences of seawater intrusion and protection projects.
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Communicated by LI Jia-chun
Project supported by the Major State Basic Research Program of China (No. G1999032803), the National Tackling Key Problems Program (No. 20050200069), the National Natural Sciences Foundation of China (Nos. 10771124, 10372052), and the Ph. D. Program Foundation of Ministry of Education of China (No. 20030422047)
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Yuan, Yr., Liang, D., Rui, Hx. et al. Numerical method for nonlinear two-phase displacement problem and its application. Appl. Math. Mech.-Engl. Ed. 29, 639–652 (2008). https://doi.org/10.1007/s10483-008-0508-x
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DOI: https://doi.org/10.1007/s10483-008-0508-x