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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… Expand
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Related topics

Related topics

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

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
Compact finite difference method for the fractional diffusion equation
High-order compact finite difference scheme for solving one-dimensional fractional diffusion equation is considered in this paper… Expand
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Highly Cited
2007
Highly Cited
2007
Finite difference/spectral approximations for the time-fractional diffusion equation
In this paper, we consider the numerical resolution of a time-fractional diffusion equation, which is obtained from the standard… Expand
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Highly Cited
2006
Highly Cited
2006
Finite difference approximations for two-sided space-fractional partial differential equations
Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly… Expand
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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… Expand
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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… Expand
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… Expand
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… Expand
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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… Expand
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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… Expand
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… Expand
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