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Numerical solution of two‐dimensional nonlinear Riesz space‐fractional reaction–advection–diffusion equation using fast compact implicit integration factor method

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
AbstractIn the present article, a finite domain is considered to find the numerical solution of a two‐dimensional nonlinear fractional‐order partial differential equation (FPDE) with Riesz space fractional derivative (RSFD). Here two types of FPDE–RSFD are considered, the first one is a two‐dimensional nonlinear Riesz space‐fractional reaction ...
Chetna Biswas   +3 more
openaire   +1 more source

Compact implicit integration factor methods for some complex-valued nonlinear equations

Chinese Physics B, 2012
The compact implicit integration factor (cIIF) method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear Schrodinger (NLS) equation and the complex Ginzburg ...
openaire   +1 more source

Reconstructing compact building models from point clouds using deep implicit fields

ISPRS Journal of Photogrammetry and Remote Sensing, 2022
Hugo Ledoux, Liangliang Nan
exaly  

Compact implicit difference approximation for time-fractional diffusion-wave equation

AEJ - Alexandria Engineering Journal, 2022
Umair Ali   +2 more
exaly  

Operator splitting implicit integration factor methods for stiff reaction–diffusion–advection systems

Journal of Computational Physics, 2011
Xinfeng Liu, Yong-Tao Zhang, Qing Nie
exaly  

Compact integration factor methods for complex domains and adaptive mesh refinement

Journal of Computational Physics, 2010
Xinfeng Liu, Qing Nie
exaly  

Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations

Discrete and Continuous Dynamical Systems - Series B, 2014
Lili Ju, Xinfeng Liu, Wei Leng
exaly  

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