High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0637-y
Abstract: In this work, we discuss and compare three methods for the numerical approximation of constant- and variable-coefficient diffusion equations in both single and composite domains with possible discontinuity in the solution/flux at interfaces, considering (i)… read more here.
Keywords: order numerical; composite domains; high order; problems single ... See more keywords
A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.06.013
Abstract: Abstract We propose a high-order numerical scheme for nonlinear time fractional reaction-diffusion equations with initial singularity, where L2- 1 σ scheme on graded mesh is used to approximate Caputo fractional derivative and Legendre spectral method… read more here.
Keywords: order numerical; scheme; nonlinear time; numerical scheme ... See more keywords
Higher Order Numerical Approaches for Nonlinear Equations by Decomposition Technique
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DOI: 10.1109/access.2019.2906470
Abstract: In this paper, a unique decomposition technique is implemented along with an auxiliary function for the best implementation. Some new and efficient techniques are introduced and analyzed for nonlinear equations. These techniques are higher ordered… read more here.
Keywords: nonlinear equations; higher order; order numerical; decomposition technique ... See more keywords
Second-order numerical methods for the tempered fractional diffusion equations
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DOI: 10.1186/s13662-019-2417-5
Abstract: In this paper, a class of second-order tempered difference operators for the left and right Riemann–Liouville tempered fractional derivatives is constructed. And a class of second-order numerical methods is presented for solving the space tempered… read more here.
Keywords: order numerical; fractional diffusion; order; tempered fractional ... See more keywords