Time Fractional Diffusion Equation
Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
... Up until now, to the best of the authors knowledge, the main approach for solving the variable order time fractional diffusion equation is finite difference method. Lin et al. [13] applied an ...
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Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation
... main equation may not be given, we have encountered an inverse ...or time-dependent source term [28] or even space- and time-dependent source term ...the time-dependent source term in a ...
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The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation
... Space-Time fractional diffusion equation is considered, the direct way will be used for approximating Time fractional and the expiation of shifted first kind of Chebyshev ...
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On Approximate Solutions for Time-Fractional Diffusion Equation
... involving fractional derivatives and integrals have been studied by many ...phenomena, fractional partial differential equations have been used in numerous areas such as finance, hydrology, porous media, ...
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Landweber iterative regularization method for identifying the unknown source of the time fractional diffusion equation
... with fractional-order derivatives play an important role in modeling contaminant diffusion ...A fractional diffusion equation mainly describes anomalous diffusion phenomena because ...
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Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
... a contractible mapping to show the existence of solution of the semilinear problem in a suitable fractional derivative Sobolev space. The main idea is motivated in the proof of [32, 33]. The existence of solutions ...
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Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
... the equation of problem ...the time-fractional diffusion ...the time- fractional diffusion equation, and in [], Wang simplified the Tikhonov regularization method to solve it, but ...
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Normalized Bernstein polynomials in solving space time fractional diffusion equation
... this equation u(x, t) is the unknown function, s(x, t) is called the source-term and d(x, t) and b(x, t) are the diffusion and advection coefficients, < α ≤ and < γ ≤ are the orders of space ...
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Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... of fractional differential equations ...solving time fractional advection-diffusion equation with distributed order and by Dehghan et ...nonlinear time fractional ...
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Solution of a modified fractional diffusion equation
... modified fractional diffusion equation has been proposed ...From diffusion to anomalous diffusion: a century after Einstein’s brownian motion, Chaos 15 (2005) 026103; ...order ...
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A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... of time fractional diffusion equation with variable coefficient, where the fractional derivative is defined by the Caputo ...of time fractional parabolic equation ...
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Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients
... In this paper, an improved FIM is developed for solving time-fractional convection- diffusion equations with variable coefficients. The constants of integration are deter- mined by using initial conditions, ...
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From Newton's Equation to Fractional Diffusion and Wave Equations
... for fractional calculus would be the modellization of the shape memory alloys ...in time through integrodifferential equations and, possibly, fractional differential ...
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Pseudo Spectral Method for Space Fractional Diffusion Equation
... to fractional partial differential ...and time steps must satisfy certain condi- tion in order to guarantee the stability for finite differ- ence ...for fractional differential equations will be ...
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An alternating segment Crank–Nicolson parallel difference scheme for the time fractional sub diffusion equation
... In this paper, we construct an alternating segment C-N (ASC-N) difference scheme for time fractional sub-diffusion equation. The four kinds of Saul’yev asymmetric schemes and the classical C-N scheme ...
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Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... the problems and provides accurate solutions at the same time. In short, this paper comprises the use of two-dimensional Genocchi polynomials along with the Ritz–Galerkin method and a satisfier function to provide ...
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A finite difference scheme based on cubic trigonometric B splines for a time fractional diffusion wave equation
... The outline of this paper is as follows. In Section , we give temporal discretization using a forward finite difference scheme of Eq. (). In Section , we present the derivation of the scheme for the fractional ...
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ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... anomalous diffusion, which has been widely applied in various fields of science and en- ...nonlinear fractional reaction-subdiffusion ...linear fractional reaction-subdiffusion ...
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Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations
... long time limit yields a fractional reaction-diffusion equation [11] that only differs from the standard reaction-diffusion equation through a fractional temporal order ...
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Fractional Difference Approximations for Time Fractional Telegraph Equation
... telegraph equation has another name of the transmission line equa- ...such equation can describe the ordinary diffusion phenomena ...abnormal diffusion phenomena during the finite long ...
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