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A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method
... Specifically, finite difference methods are considered among the simplest numer- ical methods ...PDEs. Finite difference methods, however, are inferior to other numerical methods for the rate ... See full document
7
Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... One standard method in the multi-dimensional PDEs is the ADI methods [11, 24]. For these methods, the difference equations are specified and solved in one direction at a time. For the ADI methods, the ... See full document
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Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... the Crank–Nicolson scheme is used for temporal discretiza- tion and a fourth-order compact finite difference scheme dealing with a one-dimensional convection–diffusion equation is applied to the ... See full document
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NUMERICAL SOLUTION OF BERGERS’ EQUATION IN A ONE-DIMENSIONAL GROUNDWATER RECHARGE BY SPREADING USING FINITE DIFFERENCE METHOD
... later two causes are ...differential equation in the form of Burgers’ equation, its numerical solution has been obtained by using Finite Difference ... See full document
10
A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation
... computing method of IASC–N difference scheme for time fractional reaction–diffusion ...IASC–N method has obvious localization features in terms of computation and communication and is suitable for operating ... See full document
18
Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation
... Burgers equation was first in- troduced by Bateman ...one-dimensional form using a simple solution ...mans method as a simplified model to interpret the theory of turbulence ... See full document
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SOLUTION OF TWO DIMENSIONAL BURGERS EQUATION BY USING HYBRID CRANK-NICHOLSON AND LAX-FREDRICHS’ FINITE DIFFERENCE SCHEMES ARISING FROM OPERATOR SPLITTING
... in closed form ...differential equation by the corresponding finite difference equation and then solving the latter by a process of ...dynamics. Finite difference ... See full document
14
An alternating segment Crank–Nicolson parallel difference scheme for the time fractional sub diffusion equation
... Euler–Lagrange equation numerically by using a discretization technique based on a Grünwald–Letnikov approx- imation for the fractional ...gradient method, Wang Hong et al. [18, 19] gave a fast ... See full document
18
Vol 2014
... A Crank-Nicolson Type method with moving mesh is constructed for numerical solution of one dimensional nonlinear Burgers Equation with Homogeneous Dirichlets boundary ... See full document
8
Solving one dimensional heat equation and groundwater flow modeling using finite difference method
... one dimensional heat equation and groundwater flow equation using Finite Difference ...Three Finite Difference methods were chosen to solve parabolic Partial ... See full document
26
The Solution of Instability Phenomenon Arising in Homogeneous Porous Media by Crank-Nicolson Finite Difference Method
... by using Matlab coding for the finite difference scheme of the equation ...by Crank-Nicolson method shows that the saturation of injected water is linearly increasing as ... See full document
11
Numerical solution of the one dimensional non-linear Burgers equation using the Adomian decomposition method and the comparison between the modified Local Crank-Nicolson method and the VIM exact solution
... The Crank-Nicolson method (CN) is a central finite difference ...the Crank-Nicholson method is an implicit method, to obtain the values of u in the next steps, a ... See full document
11
Computational Solutions of Two Dimensional Convection Diffusion Equation Using Crank Nicolson and Time Efficient ADI
... This equation established the interaction between the non-linear convection processes and the diffusive viscous processes ...Burgers equation is probably one of the simplest non-linear PDE for which it is ... See full document
20
A Note on Crank Nicolson Scheme for Burgers’ Equation
... present Crank-Nicolson finite difference scheme for Burgers’ equation without Hopf-Cole ...Burgers’ equation directly, i.e., without reducing it to linear heat equation by ... See full document
7
The Solution of Advection Diffusion Equation by The Finite Elements Method
... 2001. Solution of stochastic partial differential equations using Galerkin finite element techniques, International Mathematical Forum, 2, ... See full document
10
Immersed Interface Method for Biharmonic Equations on Irregular Domain and Its Applications
... some finite difference schemes. This difference equation is resulted from the spatial discretization of ...(4.16); two such linear systems need to be solved at every time ...biharmonic ... See full document
75
Two-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
... for finite and infinite domains and diverse options for decay and sorption kinetics (Park & Zhan, 2001; Tadjeran & Meerschaert, 2007; Singh et ...exact solution of the two- dimensional ... See full document
17
On the Closed-Form Solution of a Nonlinear Difference Equation and Another Proof to Sroysang’s Conjecture
... We have verified affirmatively, in an alternative fashion, Sroysang’s conjec- ture regarding the asymptotic growth rate of the so-called Fibonacci functions (and odd Fibonacci functions) with period k ≥ 1. The technique ... See full document
13
Comparative Analysis of Finite Difference Methods for Solving Second Order Linear Partial Differential Equations
... corresponding difference equation and then solving the latter by a process of ...This method was devised and first used by ...Liebmann.Finite difference methods are numerical methods for ... See full document
7
Numerical modeling of 1-dimensional wave equation using finite modal synthesis
... Wave is produce in various shapes and forms. They can be distinguished based on certain characteristics. One characteristic that can categorize waves is based on the individual particles of wave movement direction in a ... See full document
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