Numerical simulation of two-dimensional fractional neutron diffusion model describing dynamical behaviour of sodium-cooled fast reactor
Sign Up to like & getrecommendations! Published in 2022 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2021.108709
Abstract: Abstract This article proposes an efficient numerical technique for solving the two-dimensional fractional neutron diffusion (FND) model with time-dependent reactivity which describes neutron transport in a finite cylindrical nuclear reactor core. In this technique, the… read more here.
Keywords: neutron; fractional neutron; diffusion; two dimensional ... See more keywords
A novel high order compact ADI scheme for two dimensional fractional integro-differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.05.008
Abstract: Abstract In this paper, we study the numerical method for two dimensional fractional integro-differential equations, where the order of time fractional derivative α ∈ ( 1 , 2 ) and integral order γ ∈ (… read more here.
Keywords: integro differential; order; differential equations; dimensional fractional ... See more keywords
Block-pulse functions method for solving three-dimensional fractional Poisson type equations with Neumann boundary conditions
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-0945-7
Abstract: In this paper, a numerical scheme based on the three-dimensional block-pulse functions is proposed to solve the three-dimensional fractional Poisson type equations with Neumann boundary conditions. The differential operational matrices of fractional order of the… read more here.
Keywords: three dimensional; pulse functions; block pulse; poisson type ... See more keywords
New Numerical Treatment for a Family of Two-Dimensional Fractional Fredholm Integro-Differential Equations
Sign Up to like & getrecommendations! Published in 2020 at "Algorithms"
DOI: 10.3390/a13020037
Abstract: In this paper, we present a robust algorithm to solve numerically a family of two-dimensional fractional integro differential equations. The Haar wavelet method is upgraded to include in its construction the Laplace transform step. This… read more here.
Keywords: integro differential; two dimensional; differential equations; family two ... See more keywords
Lyapunov Inequalities for Two Dimensional Fractional Boundary-Value Problems with Mixed Fractional Derivatives
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12030301
Abstract: We consider two types of partial fractional differential equations in two dimensions with mixed fractional derivatives. Appropriate Lyapunov-type inequalities are proved, and applications to the certain eigenvalue problems are presented. Moreover, some connections with the… read more here.
Keywords: inequalities two; two dimensional; dimensional fractional; lyapunov inequalities ... See more keywords
Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study
Sign Up to like & getrecommendations! Published in 2021 at "Nanomaterials"
DOI: 10.3390/nano11112884
Abstract: We integrate fractional calculus and plasma modelling concepts with specific geometry in this article, and further formulate a higher dimensional time-fractional Vlasov Maxwell system. Additionally, we develop a quick, efficient, robust, and accurate numerical approach… read more here.
Keywords: plasma; fractional order; partial slip; higher dimensional ... See more keywords
On Two-Dimensional Fractional Chaotic Maps with Symmetries
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12050756
Abstract: In this paper, we propose two new two-dimensional chaotic maps with closed curve fixed points. The chaotic behavior of the two maps is analyzed by the 0–1 test, and explored numerically using Lyapunov exponents and… read more here.
Keywords: fractional chaotic; two dimensional; maps symmetries; chaotic maps ... See more keywords