A new approximation to Caputo-type fractional diffusion and advection equations on non-uniform meshes
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.05.014
Abstract: Abstract In present work, a new high-order numerical approximation to the Caputo fractional derivative of order α ( 0 α 1 ) is constructed. The quadratic interpolation approximation of Caputo derivative on non-uniform meshes is… read more here.
Keywords: approximation caputo; fractional diffusion; uniform meshes; non uniform ... See more keywords
Lax-Wendroff methods on highly non-uniform meshes. Dedicated to the Memory of Blair Swartz (1932–2019)
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.01.014
Abstract: Abstract The standard Lax-Wendroff scheme with the conservative Lax-Friedrichs nodal predictor on highly non-uniform meshes produces serious oscillations, making it useless on such meshes. Wendroff and White (B. Wendroff, A. B. White. Comput. Math. Appl.,… read more here.
Keywords: methods highly; lax wendroff; wendroff methods; highly non ... See more keywords
A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2017.1381691
Abstract: ABSTRACT We consider finite difference methods for solving nonlinear fractional differential equations in the Caputo fractional derivative sense with non-uniform meshes. Under the assumption that the Caputo derivative of the solution of the fractional differential… read more here.
Keywords: difference methods; uniform meshes; fractional differential; finite difference ... See more keywords
Finite Difference Algorithm on Non-Uniform Meshes for Modeling 2D Magnetotelluric Responses
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DOI: 10.3390/a11120203
Abstract: A finite-difference approach with non-uniform meshes was presented for simulating magnetotelluric responses in 2D structures. We presented the calculation formula of this scheme from the boundary value problem of electric field and magnetic field, and… read more here.
Keywords: difference; magnetotelluric responses; difference algorithm; uniform meshes ... See more keywords
The Simplified Lattice Boltzmann Method on Non-Uniform Meshes
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DOI: 10.4208/cicp.oa-2016-0184
Abstract: In this paper, we present an improved version of the simplified lattice Boltzmann method on non-uniform meshes. This method is based on the recently-proposed simplified lattice Boltzmann method (SLBM) without evolution of the distribution functions.… read more here.
Keywords: simplified lattice; boltzmann method; lattice boltzmann; uniform meshes ... See more keywords