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Characteristic finite difference method and application for moving boundary value problem of coupled system

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Abstract

The coupled system of multilayer dynamics of fluids in porous media is to describe the history of oil-gas transport and accumulation in basin evolution. It is of great value in rational evaluation of prospecting and exploiting oil-gas resources. The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values. A kind of characteristic finite difference schemes is put forward, from which optimal order estimates in l 2 norm are derived for the error in the approximate solutions. The research is important both theoretically and practically for the model analysis in the field, the model numerical method and software development.

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Authors and Affiliations

  1. Institute of Mathematics, Shandong University, Jinan, 250100, P. R. China

    Yi-rang Yuan  (袁益让) & Chang-feng Li  (李长峰)

  2. Physical Exploration Institute, Shengli Petroleum Administration, Shandong Province, Dongying, 257022, Shandong Province, P. R. China

    Cheng-shun Yang  (杨成顺) & Yu-ji Han  (韩玉笈)

Authors
  1. Yi-rang Yuan  (袁益让)
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  2. Chang-feng Li  (李长峰)
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  3. Cheng-shun Yang  (杨成顺)
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  4. Yu-ji Han  (韩玉笈)
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Corresponding author

Correspondence to Yi-rang Yuan  (袁益让).

Additional information

Communicated by ZHOU Zhe-wei

Project supported by the Major State Basic Research Program of China (No. G19990328), the National Tackling Key Problem Program (No. 20050200069), the National Natural Science Foundation of China (Nos. 10771124, 10372052), and the Ph. D. Programs Foundation of Ministry of Education of China (No. 20030422047)

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Yuan, Yr., Li, Cf., Yang, Cs. et al. Characteristic finite difference method and application for moving boundary value problem of coupled system. Appl. Math. Mech.-Engl. Ed. 29, 611–624 (2008). https://doi.org/10.1007/s10483-008-0506-x

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  • DOI: https://doi.org/10.1007/s10483-008-0506-x

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2000 Mathematics Subject Classification

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