Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 3, Issue 2


Published
on

December 31, 2018


Pages

583-592


DOI

Article

The high accuracy conserved splitting domain decomposition scheme for solving the parabolic equations

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Authors

Zhongguo Zhou Affiliation:
School of Information Science and Engineering, Shandong Agricultural University, Taian, Shandong, 271018, P.R. China
and Lin Li Affiliation:
School of Information Science and Engineering, Shandong Agricultural University, Taian, Shandong, 271018, P.R. China


Abstract

In this paper, the high accuracy mass-conserved splitting domain decomposition method for solving the parabolic equations is proposed. In our scheme, the time extrapolation and local multi-point weighted average schemes are used to approximate the interface fluxes on interfaces of sub-domains, while the interior solutions are computed by one dimension high-order implicit schemes in sub-domains. The important feature is that the developed scheme keeps mass conservation and are of second-order convergent in time and fourth-order convergent in space. Numerical experiments confirm the convergence.


Keywords

Parabolic equations, time second-order, space fourth-order, mass-conserved, domain decomposition, 65M06, 65M55, 76S05


Citation

Zhou, Z. & Li, L. (2018). The high accuracy conserved splitting domain decomposition scheme for solving the parabolic equations. Applied Mathematics and Nonlinear Sciences, 3(2), 583–592. https://doi.org/10.2478/AMNS.2018.2.00045

Published by: Engineering Journals

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