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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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Papers overview

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Highly Cited
2005
Highly Cited
2005
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
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
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
The Pricing Equations. Analysis of Finite Difference Methods. Special Issues. Coordinate Transformations. Numerical Examples… 
Highly Cited
2000
Highly Cited
2000
Preliminaries two point boundary value problems second order elliptic equations fourth order and nonlinear elliptic equations… 
Highly Cited
1980
Highly Cited
1980
Keywords: elements : finis ; equations : differentielles ; methodes de : calcul ; mathematiques Reference Record created on 2005… 
Highly Cited
1976
Highly Cited
1976
The theoretical basis for the integrated finite difference method (IFDM) is presented to describe a powerful numerical technique… 
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… 
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… 
Highly Cited
1959
Highly Cited
1959
The method of characteristics used for numerical computation of solutions of fluid dynamical equations is characterized by a…