LDG Methods for Reaction-diffusion Systems with Application of Krylov Implicit Integration Factor Methods
نویسندگان
چکیده
منابع مشابه
Krylov single-step implicit integration factor WENO methods for advection-diffusion-reaction equations
Implicit integration factor (IIF) methods were developed in the literature for solving time-dependent stiff partial differential equations (PDEs). Recently, IIF methods are combined with weighted essentially non-oscillatory (WENO) schemes in [Jiang and Zhang, Journal of Computational Physics, 253 (2013) 368-388] to efficiently solve stiff nonlinear advection-diffusion-reaction equations. The me...
متن کاملKrylov implicit integration factor WENO methods for semilinear and fully nonlinear advection-diffusion-reaction equations
Article history: Received 15 October 2012 Received in revised form 25 June 2013 Accepted 15 July 2013 Available online 23 July 2013
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Implicit integration factor (IIF) methods were developed for solving time-dependent stiff partial differential equations (PDEs) in literature. In [Jiang and Zhang, Journal of Computational Physics, 253 (2013) 368–388], IIF methods are designed to efficiently solve stiff nonlinear advection–diffusion–reaction (ADR) equations. The methods can be designed for an arbitrary order of accuracy. The st...
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For reaction-diffusion-advection equations, the stiffness from the reaction and diffusion terms often requires very restricted time step size, while the nonlinear advection term may lead to a sharp gradient in localized spatial regions. It is challenging to design numerical methods that can efficiently handle both difficulties. For reaction-diffusion systems with both stiff reaction and diffusi...
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Integration factor methods are a class of ‘‘exactly linear part’’ time discretization methods. In [Q. Nie, Y.-T. Zhang, R. Zhao, Efficient semi-implicit schemes for stiff systems, Journal of Computational Physics, 214 (2006) 521–537], a class of efficient implicit integration factor (IIF) methods were developed for solving systems with both stiff linear and nonlinear terms, arising from spatial...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2019
ISSN: 1027-5487
DOI: 10.11650/tjm/180902