difference methods

difference methods

[′dif·rəns ‚meth·ədz]
(mathematics)
Versions of the predictor-corrector methods of calculating numerical solutions of differential equations in which the prediction and correction formulas express the value of the solution function in terms of finite differences of a derivative of the function.
References in periodicals archive ?
An analysis of the experience of Japanese specialists in modeling the behavior of fuel elements of nuclear reactors [7] testifies to the effective application of finite difference methods and finite elements for the solution of such problems requiring analysis of thermal conductivity, diffusion, deformation taking into account creep and contact interaction.
STEINBERG, Mimetic finite difference methods for diffusion equations, Comput.
Generally, at the use of finite difference methods curvilinear boundary between media is replaced by a step approximating surface [6].
Ozisik, Finite Difference Methods in Heat Transfer, CRC Press, Boca Raton, Fla, USA, 1994.
They begin with basic definitions and properties of fractional integrals and derivatives, then display in detail numerical methods for them, finite difference methods for fractional ordinary and partial differential equations, and the finite element method for fractional partial differential equations.
We use finite difference methods to solve the partition of wave equation.
Alternating direction and semi explicit difference methods for parabolic partial differential equations.
He covers a brief review of the C++ programming language, basic building blocks, lattice models for option pricing, the Black/Scholes world, finite difference methods, implied volatility and volatility smiles, Monte Carlo simulation, and the Heath/Jarrow/Morton model.
applied Wigner- transform techniques to the analysis of finite difference methods for Schrodinger equation with small s andzero far-field boundary conditions ( us ( x, t ) decays to zero sufficiently fast as x c oe [1, 2, 5]), they obtainedsharp conditions on the spatial-temporal grid whichguaranteed convergence for values of all observables as Plank constant s tended to zero.
Conclusions: The N difference methods employed in this study proved that N derived from winged bean and bush bean was readily available and can be used efficiently by rice crop.
Numerical Partial Differential Equations: Finite Difference Methods, Springer Verlag, Berlin, Germany, 1995.

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