Numerical schemes for a pseudo-parabolic Burgers equation: Discontinuous data and long-time behaviour

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:224

Article

Cuesta, C. M.¹  Pop, I. S.² 

[1] Univ Nottingham, Sch Math Sci Theoret Mech, Nottingham NG7 2RD, England

[2] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands

关键词: Pseudo-parabolic equations;    Burgers equation;    Numerical schemes at interfaces;    Long-time behaviour;   

DOI  :  10.1016/j.cam.2008.05.001

来源: Elsevier

【 摘 要 】

We consider a simplified model for vertical non-stationary groundwater flow which, includes dynamic capillary pressure effects. Specifically, we consider a viscous Burgers-type equation that is extended with a third-order term containing mixed derivatives in space and time. We analyse the one-dimensional boundary value problem and investigate numerically its long-time behaviour. The numerical schemes discussed here take into account possible discontinuities of the solution. (c) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free