Results 31 to 40 of about 2,952,428 (298)
Fractional Diffusion Equation under Singular and Non-Singular Kernel and Its Stability
Fractal and Fractional, 2023 The fractional reaction–diffusion equation has been used in many real-world applications in fields such as physics, biology, and chemistry. Motivated by the huge application of fractional reaction–diffusion, we propose a numerical scheme to solve the ...
Enrique C. Gabrick +8 more
doaj +1 more source
Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions
Mathematics, 2022 This paper considers a class of stochastic fractional-space diffusion equations with polynomials. We establish a limiting equation that specifies the critical dynamics in a rigorous way.
Wael W. Mohammed +2 more
doaj +1 more source
On a Fractional Master Equation and a Fractional Diffusion Equation [PDF]
Mathematics and Statistics, 2013 In this paper , we derive the solutions of fractional master equation defined by (2.1) and fractional diffusion equation defined by (3.3). The method followed in deriving the solution is that of Laplace and Fourier transforms. The solutions are obtained in a neat and compact forms in terms of the generalized Mittag -Leffler function and Fox' H-function.
openaire +1 more source
Implicit difference approximation for the two-dimensional space-time fractional diffusion equation [PDF]
, 2006 In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed.
Liu, Fawang +3 more
core +2 more sources
A new numerical technique for local fractional diffusion equation in fractal heat transfer [PDF]
, 2016 In this paper, a new numerical approach, embedding the differential transform (DT) and Laplace trans- form (LT), is frstly proposed. It is considered in the local fractional derivative operator for obtaining the non-differential solution for diffusion ...
Baleanu, Dumitru +7 more
core +1 more source
Linear Boltzmann equation and fractional diffusion
Kinetic & Related Models, 2018 25 pages, no ...
Bardos, Claude +2 more
openaire +6 more sources
Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation [PDF]
, 2015 We propose two stable and one conditionally stable finite difference schemes of second-order in both time and space for the time-fractional diffusion-wave equation.
Zeng, F.
core +1 more source
Mathematical Modelling and Analysis, 2013 In the present study, numerical solutions of the fractional diffusion and fractional diffusion-wave equations where fractional derivatives are considered in the Caputo sense have been obtained by a Galerkin finite element method using quadratic B-spline ...
Alaattin Esen +3 more
doaj +1 more source
Alexandria Engineering Journal, 2020 In this paper, we propose an efficient Chebyshev collocation scheme to solve diffusion problem including time fractional diffusion equation considering the fractional derivative in the Liouville-Caputo sense. By making use of shifted Chebyshev polynomial
Mine Aylin Bayrak +2 more
doaj +1 more source
Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
doaj +1 more source