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Zbl 1010.65032
Mickens, Ronald E.
Nonstandard finite difference schemes for differential equations. (English)
[J] J. Difference Equ. Appl. 8, No.9, 823-847 (2002). ISSN 1023-6198

This paper introduces a concept of nonstandard finite differences and rules of their construction. The rules are applied for nonlinear ordinary differential equations and some partial differential equations.
[Ivan Secrieru (Chişinău)]
MSC 2000:
*65L12 Finite difference methods for ODE
34B15 Nonlinear boundary value problems of ODE
35K15 Second order parabolic equations, initial value problems
65M06 Finite difference methods (IVP of PDE)
39A12 Discrete version of topics in analysis

Keywords: nonstandard finite differences

Cited in: Zbl 1236.92040 Zbl 1086.65081

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