[PDF] Top 20 A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
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A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... high order finite difference algorithm for solving a class of time fractional sub-diffusion equation with variable coefficient was ...of spatial ... See full document
7
A fast implicit difference scheme for a new class of time distributed order and space fractional diffusion equations with variable coefficients
... difference scheme for solving the new problem ...multiterm time-space FDEs by ap- plying numerical ...difference scheme with uncon- ditional stability and convergence that is first-order accurate ... See full document
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A second order box type scheme for fractional sub diffusion equation with spatially variable coefficient under Neumann boundary conditions
... on fractional differential equations has become more and more ...of fractional calculation to describe dif- ferent phenomena in different disciplines such as semiconductor, mechanics, chemistry, porous media, ... See full document
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An alternating segment Crank–Nicolson parallel difference scheme for the time fractional sub diffusion equation
... spatially variable coefficient ...by fractional calculus [15]. They solved the fractional Euler–Lagrange equation numerically by using a discretization technique based on a Grünwald–Letnikov ... See full document
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A finite difference scheme based on cubic trigonometric B splines for a time fractional diffusion wave equation
... of fractional calculus [–] in its modern form has a history of at least three decades and has developed rapidly due to its wide range of applications in fluid mechanics, plasma physics, biology, chemistry, ... See full document
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ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... integer order, which could reduce original multidimensional problem into a sequences of one- dimensional ...based finite difference (FD) scheme pre- sented for 2D space fractional ... See full document
21
Second or fourth-order finite difference operators, which one is most effective?
... higher-order finite difference (FD) formulas for the spatial approximation of the time-dependent reaction-diffusion problems with a clear justification through examples, “why ... See full document
12
Alternating Segment Explicit Implicit and Implicit Explicit Parallel Difference Method for Time Fractional Sub Diffusion Equation
... of fractional diffusion ...of time fractional derivatives, and proved the convergence by providing a priori error estimate ...the time fractional diffusion ...of ... See full document
17
Finite difference scheme for multi term variable order fractional diffusion equation
... multi-term variable-order fractional diffusion equation on a finite domain, which involves the Caputo variable-order time fractional derivative of order α (x, ... See full document
13
Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient
... Among the works mentioned, we notice that most of the current research on numeri- cal methods for solving FDEs are concerned with the constant-coefficient case, and rel- atively less attention has been paid to the cases ... See full document
14
A fully implicit finite difference scheme based on extended cubic B splines for time fractional advection–diffusion equation
... solving fractional differential ...of order 2 [17, ...solving fractional advection–diffusion ...of time fractional diffusion problems by Esen et ...anomalous time fractional ... See full document
17
Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... Using fractional order dynamics for diaphragms, bellows, and other devices that may have sprig-property yields a more accurate model for such industrial systems than the classical integer order ...of ... See full document
10
Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
... by fractional-order equation ...using fractional calculus. Anomalous diffusion has been discussed in various physical fields ...anomalous diffusion include history dependence, ... See full document
5
High-accuracy Alternating Difference Scheme for the Fourth-order Diffusion Equation
... AGE scheme is constructed as ...(n+2)nd time levels, where n is an even ...(n+1)st time level into k groups, each group contains 6 nodes in x ...(n+2)nd time level into k+1 groups, the first ... See full document
7
A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... The fractional-order differential equations have become a research hot-spot in science and engineering in recent years (see, ...space fractional-order sine-Gordon equation (see, ...space ... See full document
7
A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation
... difference scheme for time fractional sub-diffusion equation, which had ideal com- puting accuracy and ...nonlinear time-space fractional parabolic partial differ- ential ... See full document
18
Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
... Erdélyi–Kober fractional integral to express the hyper-Bessel operator and es- tablished the series solution by considering both direct and inverse source problem in a rectangular ...integral equation of ... See full document
11
A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... Helmholtz equation and solved the difference equations with the help of the multigrid ...compact scheme for mildly non-linear elliptic ...convection-diffusion-reaction equation was developed by Shih et ... See full document
13
Convergence of Parareal with spatial coarsening
... The idea of both Parareal and PFASST is to introduce a two-level (or even multi-level) hierarchy of decreasing accuracy and cost and to "shift" the serial dependency in time to the coarsest and therefore ... See full document
5
Exact finite difference scheme and nonstandard finite difference scheme for coupled Burgers equation
... In order to relax the conditions for stepsize, we would like to use a different way of studying [–] to construct nonstandard finite-difference schemes for ... See full document
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