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Positivity-Preserving Sixth-Order Implicit Finite Difference Weighted Essentially Non-Oscillatory Scheme for the Nonlinear Heat Equation

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dc.contributor.author Hajipour, Mojtaba
dc.contributor.author Jajarmi, Amin
dc.contributor.author Malek, Alaeddin
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-03-29T17:09:21Z
dc.date.available 2020-03-29T17:09:21Z
dc.date.issued 2018-05-18
dc.identifier.citation Hajipour, Mojtaba...et al. (2018). "Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation", Applied Mathematıcs and Computation, Vol. 325, pp. 146-158. tr_TR
dc.identifier.issn 0096-3003
dc.identifier.uri http://hdl.handle.net/20.500.12416/2785
dc.description.abstract This paper presents a class of semi-implicit finite difference weighted essentially non-oscillatory (WENO) schemes for solving the nonlinear heat equation. For the discretization of second-order spatial derivatives, a sixth-order modified WENO scheme is directly implemented. This scheme preserves the positivity principle and rejects spurious oscillations close to non-smooth points. In order to admit large time steps, a class of implicit Runge-Kutta methods is used for the temporal discretization. The implicit parts of these methods are linearized in time by using the local Taylor expansion of the flux. The stability analysis of the semi-implicit WENO scheme with 3-stages form is provided. Finally, some comparative results for one-, two-and three-dimensional PDEs are included to illustrate the effectiveness of the proposed approach. (c) 2017 Elsevier Inc. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier Science INC tr_TR
dc.relation.isversionof 10.1016/j.amc.2017.12.026 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Positivity-Preserving WENO Scheme tr_TR
dc.subject Semi-Implicit Runge-Kutta Method tr_TR
dc.subject Sixth Order tr_TR
dc.subject Nonlinear Heat Equation tr_TR
dc.title Positivity-Preserving Sixth-Order Implicit Finite Difference Weighted Essentially Non-Oscillatory Scheme for the Nonlinear Heat Equation tr_TR
dc.type article tr_TR
dc.relation.journal Applied Mathematıcs and Computation tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 325 tr_TR
dc.identifier.startpage 146 tr_TR
dc.identifier.endpage 158 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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