Analysis of multilevel finite volume approximation of 2D convective Cahn–Hilliard equation

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dc.contributor.author Appadu, A. Rao
dc.contributor.author Djoko, J.K. (Jules Kamdem)
dc.contributor.author Gidey, H.H.
dc.contributor.author Lubuma, Jean M.-S.
dc.date.accessioned 2017-05-12T07:48:56Z
dc.date.issued 2017-04
dc.description.abstract In this work, four finite volume methods have been constructed to solve the 2D convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. We prove existence and uniqueness of solutions. The stability and convergence analysis of the numerical methods have been discussed thoroughly. The nonlinear terms are approximated by a linear expression based on Mickens’ rule (Mickens, Nonstandard finite difference models of differential equations. World Scientific, Singapore, 1994) of nonlocal approximations of nonlinear terms. Numerical experiments for a test problem have been carried out to test all methods. en_ZA
dc.description.department Mathematics and Applied Mathematics en_ZA
dc.description.embargo 2018-04-30
dc.description.librarian hb2017 en_ZA
dc.description.uri http://link.springer.com/journal/13160 en_ZA
dc.identifier.citation Appadu, A.R., Djoko, J.K., Gidey, H.H. & Lubuma, J.M.S. Analysis of multilevel finite volume approximation of 2D convective Cahn–Hilliard equation. Japan Journal of Industrial and Applied Mathematics (2017) 34: 253-304. doi:10.1007/s13160-017-0239-y. en_ZA
dc.identifier.issn 0916-7005 (print)
dc.identifier.issn 1868-937X (online)
dc.identifier.other 10.1007/s13160-017-0239-y
dc.identifier.uri http://hdl.handle.net/2263/60336
dc.language.iso en en_ZA
dc.publisher Springer en_ZA
dc.rights © The JJIAM Publishing Committee and Springer Japan 2017. The original publication is available at : http://link.springer.com/journal/13160. en_ZA
dc.subject 2D convective Cahn–Hilliard equation en_ZA
dc.subject Existence of solution en_ZA
dc.subject Uniqueness en_ZA
dc.subject Stability en_ZA
dc.subject Convergence en_ZA
dc.subject Finite volume en_ZA
dc.subject Multilevel en_ZA
dc.title Analysis of multilevel finite volume approximation of 2D convective Cahn–Hilliard equation en_ZA
dc.type Postprint Article en_ZA


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