Verification of the Time-Split Method for Higher-Order Diffusion in the Spectral Element Method Model on a Cubed-Sphere Grid
Sign Up to like & getrecommendations! Published in 2019 at "Asia-Pacific Journal of Atmospheric Sciences"
DOI: 10.1007/s13143-019-00137-6
Abstract: This study used the time-split method for higher-order diffusion in a global numerical weather prediction model of the spectral element method on a cubed-sphere grid, and verified its performance compared to those of the explicit… read more here.
Keywords: order diffusion; diffusion; time split; time ... See more keywords
A backward problem for distributed order diffusion equation: uniqueness and numerical solution
Sign Up to like & getrecommendations! Published in 2020 at "Inverse Problems in Science and Engineering"
DOI: 10.1080/17415977.2020.1795152
Abstract: In this paper we consider the identification of the initial condition for a distributed order diffusion equation. We first prove the unique existence and the regularity properties of the strong solution on the bounded temporal-spacial… read more here.
Keywords: order diffusion; distributed order; backward problem; diffusion equation ... See more keywords
Null-controllability of a fractional order diffusion equation
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DOI: 10.1515/fca-2017-0012
Abstract: Abstract The article considers the controllability of a fractional order diffusion equation. We show that the resulting fractional order diffusion equation is null-controllable. Our method reduces essentially to the study of a moment problem related… read more here.
Keywords: diffusion equation; order diffusion; fractional order;
Convergence of the matrix transformation method for the finite difference approximation of fractional order diffusion problems
Sign Up to like & getrecommendations! Published in 2017 at "Applications of Mathematics"
DOI: 10.21136/am.2017.0385-15
Abstract: Numerical solution of fractional order diffusion problems with homogeneous Dirichlet boundary conditions is investigated on a square domain. An appropriate extension is applied to have a well-posed problem on R2 and the solution on the… read more here.
Keywords: order diffusion; order; fractional order; method ... See more keywords
Stable and Convergent Finite Difference Schemes on NonuniformTime Meshes for Distributed-Order Diffusion Equations
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DOI: 10.3390/math9161975
Abstract: In this work, stable and convergent numerical schemes on nonuniform time meshes are proposed, for the solution of distributed-order diffusion equations. The stability and convergence of the numerical methods are proven, and a set of… read more here.
Keywords: stable convergent; order diffusion; distributed order; diffusion equations ... See more keywords