Abstract
The boundary value problem for quasi-linear parabolic system is solved by the finite difference method with intrinsic parallelism. The existence and uniqueness and convergence theorems of the discrete vector solutions of the nonlinear difference system with intrinsic parallelism are proved. The limiting vector function is just the unique generalized solution of the original problem for the parabolic system.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Zhou Yu-lin, General interpolation formulas for spaces of discrete functions with nonuniform meshes,J. Comp. Math., 1995, 13(1): 70.
Zhou Yu-lin,Applications of Discrete Functional Analysis to the Finite Difference Method, Beijing: Inter. Acad. Publishers, 1990.
Zhou Yu-lin, Du Ming-sheng, Difference schemes of fully nonlinear parabolic systems of second order,J. of Partial Diff. Eqs., 1991, 4: 21.
Zhou Yu-lin, Finite difference method with nonuniform meshes for quasilinear parabolic system,Annual Report, 1994, 257.
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China and the Foundation of Chinese Academy of Engineering Physics.
Rights and permissions
About this article
Cite this article
Zhou, Y. Difference schemes with intrinsic parallelism for quasi-linear parabolic systems. Sci. China Ser. A-Math. 40, 270–278 (1997). https://doi.org/10.1007/BF02874519
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02874519