Results 271 to 280 of about 3,694,751 (350)
Some of the next articles are maybe not open access.
P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method
, 1986I present a finite-difference method for modeling P-SV wave propagation in heterogeneous media. This is an extension of the method I previously proposed for modeling SH-wave propagation by using velocity and stress in a discrete grid.
J. Virieux
semanticscholar +1 more source
Finite-difference methods [PDF]
, 2001 In previous chapters, we have discussed the equations governing the structure of a steady flow and the evolution of an unsteady flow, and derived selected solutions for elementary flow configurations by analytical and simple numerical methods. To generate solutions for arbitrary flow conditions and boundary geometries, it is necessary to develop ...
openaire +3 more sources
International Journal of Modern Physics B, 2018
In this study, we investigate the nonlinear time-fractional Korteweg–de Vries (KdV) equation by using the (1/G[Formula: see text])-expansion method and the finite forward difference method.
A. Yokuş
semanticscholar +1 more source
In this study, we investigate the nonlinear time-fractional Korteweg–de Vries (KdV) equation by using the (1/G[Formula: see text])-expansion method and the finite forward difference method.
A. Yokuş
semanticscholar +1 more source
2011
Finite difference methods were used for solving differential equations long before computers were available. As we have seen in Chap. 2, these methods arise quite naturally by going back to the definition of derivatives, and just stopping short of taking the limit as the step size tends to zero.
Manfred Gilli +2 more
openaire +3 more sources
Finite difference methods were used for solving differential equations long before computers were available. As we have seen in Chap. 2, these methods arise quite naturally by going back to the definition of derivatives, and just stopping short of taking the limit as the step size tends to zero.
Manfred Gilli +2 more
openaire +3 more sources
2001
The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
openaire +2 more sources
The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
openaire +2 more sources
A Two-Grid Block-Centered Finite Difference Method For Darcy-Forchheimer Flow in Porous Media
SIAM Journal on Numerical Analysis, 2015A two-grid block-centered finite difference method is proposed for solving the two-dimensional Darcy--Forchheimer model describing non-Darcy flow in porous media.
H. Rui, W. Liu
semanticscholar +1 more source
Finite-Difference Methods [PDF]
, 1983 Until recently, numerical methods for solving fluid-flow problems have been dominated by finite-difference approximations. These methods are powerful and play a major role in problem solutions. In this chapter we attempt to present the fundamental advances and insight into these methods.
Roger Peyret, Thomas D. Taylor
openaire +3 more sources
1995
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Kazimierz Zakrzewski, Richard L. Stoll
openaire +2 more sources
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Kazimierz Zakrzewski, Richard L. Stoll
openaire +2 more sources
Finite difference method for time-space-fractional Schrödinger equation
International Journal of Computational Mathematics, 2015In this paper, an implicit finite difference scheme for the nonlinear time-space-fractional Schrödinger equation is presented. It is shown that the implicit scheme is unconditionally stable with experimental convergence order of O(τ2−α+h2), where τ and h
Qun Liu, Fanhai Zeng, Changpin Li
semanticscholar +1 more source
2019
The SWE are a system of two nonlinear hyperbolic PDEs that must be numerically solved to describe the time evolution of the fluid velocity and water depth in the entire computational domain. Finite-difference methods to obtain approximate numerical solutions are described in this chapter. First, basic numerical aspects are presented. The implementation
Oscar Castro-Orgaz, Willi H. Hager
openaire +2 more sources
The SWE are a system of two nonlinear hyperbolic PDEs that must be numerically solved to describe the time evolution of the fluid velocity and water depth in the entire computational domain. Finite-difference methods to obtain approximate numerical solutions are described in this chapter. First, basic numerical aspects are presented. The implementation
Oscar Castro-Orgaz, Willi H. Hager
openaire +2 more sources