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http://hdl.handle.net/10397/76478
Title: | Stability and convergence analysis of second-order schemes for a diffuse interface model with Peng-Robinson equation of state | Authors: | Peng, QJ Qiao, ZH Sun, SY |
Issue Date: | 2017 | Source: | Journal of computational mathematics, 2017, v. 35, no. 6, p. 737-765 | Abstract: | In this paper, we present two second-order numerical schemes to solve the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson Equation of state (EOS) for pure substance. The mass conservation, energy decay property, unique solvability and L-infinity convergence of these two schemes are proved. Numerical results demonstrate the good approximation of the fourth order equation and confirm reliability of these two schemes. | Keywords: | Diffuse interface model Fourth order parabolic equation Energy stability Convergence |
Publisher: | Global Science Press | Journal: | Journal of computational mathematics | ISSN: | 0254-9409 | EISSN: | 1991-7139 | DOI: | 10.4208/jcm.1611-m2016-0623 | Rights: | © Global Science Press Posted with permission of the publisher. |
Appears in Collections: | Journal/Magazine Article |
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