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 ?
Sections 3 and 4 deal with the construction of the implicit finite difference methods, the theorems on existence, uniqueness of solutions to the suitable difference schemes and some convergence and stability properties in the one and two-dimensional cases, respectively.
It addresses convection-diffusion problems in one and two dimensions, finite difference methods in one and two dimensions, and finite element methods.
[26]--, Finite difference methods for computing eigenvalues of fourth order boundary value problems, Internat.
Morton, Difference Methods for Initial-Value Problems, Interscience Tracts in Pure and Applied Mathematics, No.
George, "On the use of high order difference methods for the system of one space second order non-linear hyperbolic equations with variable coefficients," Journal of Computational and Applied Mathematics, vol.
Thomee, Finite Difference Methods for Linear Parabolic Equations, Elsevier Science Publishers B.V.
Adel, "On the stability analysis of weighted average finite difference methods for fractional wave equation," Fractional Differential Calculus, vol.
To conclude, in this paper, we have reviewed and restudied some latest adaptive, semi-adaptive finite difference methods for solving a degenerate Kawarada equation problem.
Morton, Difference Methods for Initial Value Problems, 2nd edn.
Generally, at the use of finite difference methods curvilinear boundary between media is replaced by a step approximating surface [6].

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