[PDF] Top 20 Finite difference scheme for multi term variable order fractional diffusion equation
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Finite difference scheme for multi term variable order fractional diffusion equation
... of fractional partial differential equations (FPDE), as a new and effective mathematical tool, is very popular and important in many scientific and engineering ...the multi-term FPDEs have been employed ... See full document
13
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 ...difference scheme with uncon- ditional stability and convergence that is first-order accurate in space and (1 + σ 2 )-order accurate in ... See full document
24
A fully implicit finite difference scheme based on extended cubic B splines for time fractional advection–diffusion equation
... classical fractional advection–diffusion equation with a nonlinear source ...time fractional advection–diffusion equation with time-dependent pulses on the ...of fractional ... See full document
17
A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation
... of fractional evolution equation, more and more numer- ical computation methods are proposed (Singh et ...time fractional diffusion equation, Lin and Xu (2007) [17] constructed a finite ... See full document
18
Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications
... involving fractional calculus is already very large and still ...the fractional calculus is that the fractional derivatives provide an excellent approach for the description of memory and hereditary ... See full document
9
Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient
... for fractional subdiffusion equation with spatially variable coefficient, whereas Wang et ...for variable-coefficient fractional diffusion equations and proved the well-posedness and ... See full document
14
Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... convection-diffusion equation is widely used in many engineering and practical ...include finite element methods, finite volume methods and finite difference ...Compact ... See full document
6
An alternating segment Crank–Nicolson parallel difference scheme for the time fractional sub diffusion equation
... of fractional dif- fusion ...time fractional diffusion equation was constructed by Zhuang Pinghui et ...second order accurate numerical method in time and in space to solve a class of ... See full document
18
A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... space fractional- order partial differential equation with nonlinear source term sin(u), just as the standard Riesz space fractional-order differential equations in [3–5], also ... See full document
7
Modified implicit fractional difference scheme for 2D modified anomalous fractional sub diffusion equation
... sub-diffusion equation with a nonlinear source ...Riemann-Liouville fractional derivative and compact difference for space derivative and used second-order interpolation formula for nonlinear source ... See full document
14
A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... upwind scheme and a central difference operator result in an unstable solu- tion and are deficient in computational ...wind scheme and central ...compact scheme amongst the various finite-difference ... See full document
13
Finite difference scheme for simulating a generalized two dimensional multi term time fractional non Newtonian fluid model
... to multi-term time fractional dif- fusion equations has been ...the multi-time time-fractional diffusion-wave equations with nonhomogeneous bound- ary conditions by using the method of ... See full document
16
A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... a finite difference scheme for a class of time fractional diffusion equation with variable coefficient, where the fractional derivative is defined by the Caputo ... See full document
7
A finite difference scheme based on cubic trigonometric B splines for a time fractional diffusion wave equation
... numerical scheme based on trigonometric cubic B spline functions is pre- sented in this paper to find the approximate solutions of a time fractional diffusion-wave equation with reaction ...time ... See full document
18
Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... implicit fractional order finite difference scheme for time-space fractional soil moisture diffusion ...time-space fractional soil moisture diffusion ... See full document
6
Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... difference scheme is desired to solve lots of differential equations numerically ...difference scheme, proposed to solve one-dimensional advection–diffusion equa- ...difference scheme in space and a ... See full document
24
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
A second order box type scheme for fractional sub diffusion equation with spatially variable coefficient under Neumann boundary conditions
... source term in a bounded domain was described and demonstrated in ...the fractional-order Legendre func- tions for solving the fractional sub-diffusion equation and ... See full document
20
Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation
... shifting scheme, consider the same steady convection-diffusion equation ...Second order central differencing is applied on both the diffusion and convection ... See full document
94
A high order finite difference scheme for a singularly perturbed reaction diffusion problem with an interior layer
... the scheme is first-order convergent in the discrete maximum ...the scheme is second-order convergent in the discrete maximum ...ence scheme on a Shishkin mesh for problem ...source ... See full document
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