[PDF] Top 20 Alternating direction implicit methods for partial differential equations
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Alternating direction implicit methods for partial differential equations
... linear equations in (B-l)^ unknowns* However, if (2*7) can bo written as a pair of F *11* or D*B* type formulae, that is, a pair of formulae which utilises the same points as the )?*E* or i)*lU formulae, the ... See full document
137
FUZZY ALTERNATING DIRECTION IMPLICIT METHOD FOR SOLVING PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS IN THREE DIMENSIONS
... The alternating direction implicit method was first suggested by Douglas, Peaceman and Richard for solving the heat equation in two spatial variables and alternating direction ... See full document
8
Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... Crank–Nicolson alternating-direction implicit Galerkin–Legendre spectral method for the two-dimensional Riesz space fractional nonlinear reaction-diffusion equa- ... See full document
17
Solving Two-Dimensional Fuzzy Partial Dierential Equation by the Alternating Direction Implicit Method
... of partial dierential equations(PDEs), which are to be numerically solved, such as heat transfer and solid and uid ...Numerical methods are widely applied to pre-assigned grid points to solve ... See full document
16
An Alternating Direction Implicit Method for Modeling of Fluid Flow
... numerical methods for solving the Navier-Stokes equations (NSE) has its own challenges and ...numerical methods to simulate fluid flows with applications has been a research area of great progress ... See full document
11
An alternating direction Galerkin method for a time fractional partial differential equation with damping in two space dimensions
... time-fractional partial differential equations in one or more than one space dimension, see [–] for finite difference methods, [–] for finite element methods, and [, ] for spectral ... See full document
17
Solving two-dimensional groundwater flow equation using alternating direction implicit method
... the differential equations by using finite difference ...the differential equations that make up a model and for transforming them into a set of algebraic ... See full document
26
Numerical solution methods for fractional partial differential equations
... numerical methods (Yuste & Acedo 2005, Shen & Liu 2005, Liu, Zhuang, Anh, Turner & Burrage 2007, Chen, Liu, Anh & Turner 2012, Liu, Dong, Lewis & He 2015) and implicit numerical ... See full document
464
Comparison of three different numerical schemes for 2D steady incompressible lid-driven cavity flow
... the methods. An alternating direction implicit scheme for the vorticity-stream function formulation, explicit and implicit schemes for the primitive variable formulation of governing ... See full document
10
Alternating direction explicit and implicit methods for Schnackenberg model
... Reaction-diffusion (RD) systems arise frequently in the study of chemical and biological phenomena and are naturally modeled by parabolic partial differential equations (PDEs). The dynamics of RD ... See full document
7
On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations
... differential equations. The continuous formulation for both methods was obtained via interpolation and collocation with the application of the shifted Legendre polynomials as approximate solution ... See full document
7
On discrete analogues of nonlinear implicit differential equations
... of implicit di ff erence equations (IDEs) seems to flow from two ...Second, implicit discrete systems appear in a natural way of using discretization tech- niques for solving differential-algebraic ... See full document
19
Preconditioning of implicit Runge-Kutta methods
... Various iteration schemes to solve the nonlinear equations of IRK methods have been suggested [9, 10, 15, 16, 17, 18, 21, 33]. The schemes of [9, 21, 33] can be interpreted as the direct application of ... See full document
10
Behaviour of the extended Volterra lattice
... In the following sections we will consider asymptotic approximations of the extended Volterra equation. Here we analyse the basic Volterra Equation (2.1), and outline some results of the type which we might expect to ... See full document
12
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... order differential equations, ...fractional differential equations with variable coefficients in terms of generalized Taylor polynomials, ... See full document
16
Multiscale Methods for Elliptic Partial Differential Equations and Related Applications
... In Chapter 3, we propose a flow-based oversampling method to compute pressure equation in the two-phase flow problem. The main idea of oversampling techniques is to use solutions of the underlying single-phase flow ... See full document
119
A Discrete Analogue of Energy Integral for a Difference Scheme for Quasilinear Hyperbolic Systems
... of equations describing the three-dimensional motion of a gas, under the assumption that the gas is in vis- cid, not thermally conductive, and is in a state of local thermodynamic equili- ...of equations of ... See full document
17
An Upwind-mixed Finite Element Method with Moving Grids for Quasi-nonlinear Sobolev Equations
... Sobolev equations have important applications in many mathematical and physical problems, such as the percolation theory of the fluid flowing through the cracks [5], the transfer problem of the moisture in the ... See full document
6
Quadratic spline solution of Calculus of Variation Problems
... One might infer that the interest in this branch of Analysis is weakening and that the Calculus of Variations is a Chapter of Classical Analysis. In fact this inference would be quite wrong since new problems like those ... See full document
10
Two and Three point Implicit Second Derivative Block Methods for Solving First Order Ordinary Differential Equations
... Many researchers have focused on the block method for solving first order ordinary differ- ential equations (ODEs). Such as Majid et al. (2003) developed two point implicit method for solving a system of ... See full document
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