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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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Papers overview

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Highly Cited
2009
Highly Cited
2009
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
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
Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly… Expand
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Highly Cited
2003
Highly Cited
2003
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
The Pricing Equations. Analysis of Finite Difference Methods. Special Issues. Coordinate Transformations. Numerical Examples… Expand
Highly Cited
1980
Highly Cited
1980
Keywords: elements : finis ; equations : differentielles ; methodes de : calcul ; mathematiques Reference Record created on 2005… Expand
Highly Cited
1976
Highly Cited
1976
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
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
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
The method of characteristics used for numerical computation of solutions of fluid dynamical equations is characterized by a… Expand
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