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Finite difference method

Known as: Finite difference scheme, Finite-difference methods, Finite difference methods 
In mathematics, finite-difference methods (FDM) are numerical methods for solving differential equations by approximating them with difference… 
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Related topics

Related topics

50 relations
Application of CFD in thermal power plantsAtmospheric modelBinomial options pricing modelCentral differencing scheme

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2005
Highly Cited
2005
An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
A numerical method for solving the fractional diffusion equation, which could also be easily extended to other fractional partial… 
Highly Cited
2003
Highly Cited
2003
On an explicit finite difference method for fractional diffusion equations
A numerical method to solve the fractional diffusion equation, which could also be easily extended to many other fractional… 
Highly Cited
2002
Highly Cited
2002
On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
This study enables the use of very high-order finite-difference schemes for the solution of conservation laws on stretched… 
Highly Cited
2000
Highly Cited
2000
Pricing Financial Instruments: The Finite Difference Method
The Pricing Equations. Analysis of Finite Difference Methods. Special Issues. Coordinate Transformations. Numerical Examples… 
Highly Cited
2000
Highly Cited
2000
Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods
Preliminaries two point boundary value problems second order elliptic equations fourth order and nonlinear elliptic equations… 
Highly Cited
1980
Highly Cited
1980
The Finite Difference Method in Partial Differential Equations
Keywords: elements : finis ; equations : differentielles ; methodes de : calcul ; mathematiques Reference Record created on 2005… 
Highly Cited
1976
Highly Cited
1976
AN INTEGRATED FINITE DIFFERENCE METHOD FOR ANALYZING FLUID FLOW IN POROUS MEDIA
The theoretical basis for the integrated finite difference method (IFDM) is presented to describe a powerful numerical technique… 
Highly Cited
1974
Highly Cited
1974
ACCURACY OF FINITE‐DIFFERENCE MODELING OF THE ACOUSTIC WAVE EQUATION
two methods rapidly deteriorates. This effect, known as “grid dispersion,” must be taken into account in order to avoid erroneous… 
Highly Cited
1968
Highly Cited
1968
Propagation of elastic waves in layered media by finite difference methods
A finite difference equation formulation for the equations of elasticity is presented and applied to the problem of a layered… 
Highly Cited
1959
Highly Cited
1959
Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics
The method of characteristics used for numerical computation of solutions of fluid dynamical equations is characterized by a… 
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