Crank-Nicolson method
Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation
... Boltzmann Method (LBM). The results are compared with the Modified Local Crank-Nicolson method (MLCN) and exact ...numerical method for solving various physical ...MLCN method ...
19
A Note on Crank Nicolson Scheme for Burgers’ Equation
... the Crank-Nicolson method directly to the Burgers’ equation, ...present method is compared to the absolute error of the two existing methods for two test ...The method is also analyzed ...
7
Algorithm Analysis of Numerical Solutions to the Heat Equation
... When numerical mathematics reached its peak in the mid 20 th century, among those who made their names were the German scholar Erhard Schmidt (forming the Schmidt method), English Mathematical mathematicians John ...
9
Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
... Chapter 2 presents the literature review of this research. Various works by different researchers regarding heat equation, the spline interpolation including the cubic spline interpolation and cubic B-spline ...
21
Numerical Simulation by Galerkin Method of 2D Nonlinear Convection-Diffusion
... Galerkin Method. For numerical formulation, the Crank-Nicolson Method was used for temporal discretization, the Newton Method for linearization of the nonlinear terms, the Galerkin ...
7
Travelling Waves: Interplay of Low to High Reynolds Number and Tan Cot Function Method to Solve Burger’s Equations
... DOI: 10.4236/jamp.2019.74058 868 Journal of Applied Mathematics and Physics slope would have decreased. As we say at first for numerical schematics of this dimensionless Equation (21), we use Crank-Nicolson ...
13
A Crank–Nicolson linear difference scheme for a BBM equation with a time fractional nonlocal viscous term
... difference method to solve the nonlinear time fractional water wave equation in a BBM ...different method that is constructed above is a three-layer linear scheme, which does not minimize the amount of ...the ...
12
A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method
... like Crank-Nicolson method [1, 2] have been developed and used ...solutions. Crank-Nicolson method is an implicit finite difference method that is numerically stable and ...
7
Error Estimates of the Extrapolated Crank Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations
... In this work we will approximate the solution of 1.1 using a discontinuous sym- metric Galerkin method with interior penalties for the spatial discretization and extrapolated Crank-Nicolson ...
17
The Solution of Instability Phenomenon Arising in Homogeneous Porous Media by Crank-Nicolson Finite Difference Method
... by Crank-Nicolson method shows that the saturation of injected water is linearly increasing as distance X (average length of schematic finger) increases for different time T > 0 and also, it is ...
11
Pricing a European Put Option by Numerical Methods
... the Crank-Nicolson method made it easier to make a comparison of the results obtained by these numerical methods to the ex- plicit solution obtained by using the Black-Scholes ...
14
Crank Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient
... the Crank-Nicolson implicit method for solving the NLS equation with variable ...present method are second order in time and space ...present method is unconditionally stable and ...
7
Online Full Text
... tion method, ...numerical method, such as the Binomial Method [3], which are quite preferred by market practi- tioners, as they are usually much faster with acceptable ...
6
The error analysis of Crank-Nicolson-type difference scheme for fractional subdiffusion equation with spatially variable coefficient
... A Crank-Nicolson-type difference scheme is presented for the spatial variable coefficient subdiffusion equation with Riemann-Liouville fractional derivative. The truncation errors in temporal and spatial ...
19
A hybrid Crank-Nicolson FDTD subgridding boundary condition for lossy thin-layer modelling
... a Crank-Nicolson time-integration scheme is used locally in the subgridded zone, and hybridized with the usual 3D Yee-FDTD method, which is used for the rest of the compu- tational ...
11
Optimal Error Estimates of the Crank Nicolson Scheme for Solving a Kind of Decoupled FBSDEs
... In this paper, we study the error estimate of the Crank-Nicolson scheme proposed in [10] for solving a kind of decoupled FBSDEs. Under weaker con- ditions than that in [9], we rigorously prove the second ...
9
High order conservative Crank Nicolson scheme for regularized long wave equation
... iteration method [, ], finite-difference method [–], Fourier pseudospectral method [], finite element method [–], collocation method [] and adomian decomposition method ...
12
A comparison of some numerical methods for the advection diffusion equation
... the Crank-Nicolson finite-difference methods give better point-wise solutions than the ”natural” cubic spline and ”Special A-D” cubic spline ...spline method gives better point-wise solutions than ...
14
A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation
... segment Crank–Nicolson parallel difference scheme for time fractional sub-diffusion equation, which had ideal com- puting accuracy and ...difference method for space- time fractional partial differential ...
18
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 are proposed. Then we ...
18