Article
The high accuracy conserved splitting domain decomposition scheme for solving the parabolic equations
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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
Z. Zhou and L. Li, “The high accuracy conserved splitting domain decomposition scheme for solving the
parabolic equations,” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, pp. 583–592, 2018, doi: 10.2478/AMNS.2018.2.00045.
Zhou Z, Li L. The high accuracy conserved splitting domain decomposition scheme for solving the
parabolic equations. Applied Mathematics and Nonlinear Sciences. 2018;3(2):583–592. doi:10.2478/AMNS.2018.2.00045.
Zhou, Z. and Li, L. (2018), ‘The high accuracy conserved splitting domain decomposition scheme for solving the
parabolic equations’, Applied Mathematics and Nonlinear Sciences, 3(2), pp. 583–592. Available at: https://doi.org/10.2478/AMNS.2018.2.00045.
Zhou, Zhongguo, and Lin Li. “The High Accuracy Conserved Splitting Domain Decomposition Scheme for Solving the
Parabolic Equations.” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, 2018, pp. 583–592. https://doi.org/10.2478/AMNS.2018.2.00045.
Zhou, Zhongguo, and Lin Li. “The High Accuracy Conserved Splitting Domain Decomposition Scheme for Solving the
Parabolic Equations.” Applied Mathematics and Nonlinear Sciences 3, no. 2 (2018): 583–592. https://doi.org/10.2478/AMNS.2018.2.00045.
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Published by: Engineering Journals


