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 A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein-Gordon-Schrödinger equation Lyu P.1; Vong S.1 2018-11-01 Source Publication Numerical Methods for Partial Differential Equations ISSN 10982426 0749159X Volume 34Issue:6Pages:2153-2179 Abstract In this work, we study finite difference scheme for coupled time fractional Klein-Gordon-Schrödinger (KGS) equation. We proposed a linearized finite difference scheme to solve the coupled system, in which the fractional derivatives are approximated by some recently established discretization formulas. These formulas approximate the solution with second-order accuracy at points different form the grid points in time direction. Taking advantage of this property, our proposed linearized scheme evaluates the nonlinear terms on the previous time level. As a result, iterative method is dispensable. The coupled terms in the scheme bring difficulties in analysis. By carefully studying these effects, we proved that the proposed scheme is unconditionally convergent and stable in discrete (Formula presented.) norm with energy method. Numerical results are included to justify the theoretical statements. Keyword Fractional Klein-gordon-schrödinger Equations Linearized Scheme Second-order Convergent Unconditionally Convergent And Stable DOI http://doi.org/10.1002/num.22282 URL View the original Indexed By SCI Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000445333600013 全文获取链接 引用统计 被引频次[WOS]：2   [WOS记录]     [WOS相关记录] Document Type Journal article 专题 DEPARTMENT OF MATHEMATICS Affiliation 1.Universidade de Macau2.Southwest University of Finance and EcoNomics 推荐引用方式GB/T 7714 Lyu P.,Vong S.. A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein-Gordon-Schrödinger equation[J]. Numerical Methods for Partial Differential Equations,2018,34(6):2153-2179. APA Lyu P.,&Vong S..(2018).A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein-Gordon-Schrödinger equation.Numerical Methods for Partial Differential Equations,34(6),2153-2179. MLA Lyu P.,et al."A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein-Gordon-Schrödinger equation".Numerical Methods for Partial Differential Equations 34.6(2018):2153-2179.
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