explicit finite difference schemes
Water hammer simulation by explicit central finite difference methods in staggered grids
... second-order explicit Godunov- type scheme to water hammer ...Godunov-type schemes for water hammer ...three explicit finite- difference schemes (MacCormack’s method, Lambda ...
9
Numerical Simulation in Electrocardiology Using an Explicit Generalized Finite Difference Method
... an explicit meshless GFD numerical method for integrating the PDE of the monodomain model used in cardiac ...The explicit GFD approach does limit the time step size that can be used due to the stability, ...
5
Evaluation of numerical integration schemes for a partial integro differential equation
... The explicit and hybrid methods were found to be more efficient than the fully im- plicit and Crank-Nicolson methods for all N , the number of spatial steps, over both a small and large second spatial derivative ...
16
Finite difference schemes for linear stochastic integro-differential equations
... E. Voltchkova in [2]. The authors in [2] first approximate the integral operator near the origin with a second derivative operator. The resulting PDE is then non-degenerate and has an integral operator of order zero. The ...
36
Investigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods
... on explicit central finite difference methods is ...numerical schemes are implemented: a two- step variant of the LxF method, and a method based on the ...
9
High Order Finite Difference Schemes for the First Derivative in Von Mises Coordinates
... In solving boundary value problems that involve viscous fluid flow in two space dimensions, the Navier- Stokes equations are usually cast in vorticity-streamfunction form. The streamfunction possesses Dirichlet con- ...
22
Some non monotone schemes for Hamilton-Jacobi-Bellman equations
... includes Finite Difference methods and Semi Lagrangian ...Classical Finite Difference method often can be interpreted as a Markov Chain [21] leading to monotone ...to Finite ...
22
Nonstandard finite difference schemes for a fractional order Brusselator system
... Despite the drop in the order of convergence, some of these denominator functions can be, however, useful to overcome stability issues. To this purpose, let us consider, also in this case, the linear test f (t, y, λ) = ...
13
Finite difference schemes for incompressible flows in vorticity formulations
... At a rst sight, (2.11) and (2.16) contradict each other and the method seems doomed. However, what causes the cell Reynolds number constraint (2.13) is the fact that the stability region of the forward Euler method does ...
15
Numerical Study of Fisher’s Equation by Finite Difference Schemes
... Douglas finite difference schemes to analyse numerical behaviour of simple linear Fisher;s equation, one dimensional linear coupled system and non-linear Fisher’s equation ...by finite ...
17
High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems
... 1. Introduction. The numerical solution of elliptic boundary value problems is a classical topic arising from a wide range of applications such as elasticity problems and nu- clear and petroleum engineering [44]. In ...
30
High speed computing of ice thickness equation for ice sheet model
... compact finite difference method with a higher order is used to obtain the solution by implementing on CUDA ...compact finite difference method can obtain a good speedup when running on ...The ...
7
On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
... difference schemes were presented and the stability estimates for the solution of these difference schemes and for the first- and second-order difference derivatives were obtained in ...difference schemes ...
34
Finite difference schemes with monotone operators
... FINITE DIFFERENCE SCHEMES WITH MONOTONE OPERATORS N C APREUTESEI Received 13 October 2003 and in revised form 10 December 2003 To the memory of my mother, Liliana Several existence theorems are given[.] ...
12
A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger Boussinesq Equations
... numerical schemes respectively. The results show that the two schemes solve this problem exactly and conserve the conserved quantities exactly as ...
11
Finite Difference Implicit Schemes to Coupled Two Dimension Reaction Diffusion System
... two finite difference implicit numerical schemes are described to approximate the numerical solution of the two-dimension mod- ified reaction diffusion Fisher’s system which exists in coupled ...
17
Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations
... numerical schemes have to be designed such that discrete solutions satisfy the same constraints as exact solutions such as positivity, monotonicity and total variation di- mensioning, see for examples [3, 6, 7, ...
12
A one dimensional mathematical simulation to salinity control in a river with a barrage dam using an unconditionally stable explicit finite difference method
... Salinity refers to the amount of salt in rivers, where the salt can be in many different forms. There are two main methods of defining the concentration of salt in water such as the total dissolved solid measurement (TDS) ...
12
A new monotonically stable discrete model for the solution of differential equations emanating from the evaporating raindrop
... a 0 is a known and measurable constant, 𝛼 and 𝛽 are simulation parameters. This interpolation function will be used to derive a finite difference scheme for solution of first order Ordinary Differential ...
11
The prediction of thermal phase change boundaries and associated temperature distributions
... The odd-even scheme is particularly sensitive to discontinuous initial data [Bell and Ritchie (1980)] and so the numerical algorithn is initialised at t = 0.5 using the analytic solution. The initial enthalpy ...
244