2011The Journal of Difference Equations and ApplicationsRequires access

Exact finite difference and non-standard finite difference schemes for

Lih-Ing Wu Roeger, Ronald E. Mickens

Open publisher page 17 citations

Abstract

Exact finite difference schemes and non-standard finite difference schemes are constructed for the first-order differential equation , for and . In particular, we show that the central finite difference scheme is an exact scheme for the differential equation .

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Exact finite difference schemes and non-standard finite difference schemes are constructed for the first-order differential equation , for and . In particular, we show that the central finite difference scheme is an exact scheme for the differential equation .

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Available abstract

Exact finite difference schemes and non-standard finite difference schemes are constructed for the first-order differential equation , for and . In particular, we show that the central finite difference scheme is an exact scheme for the differential equation .

Key concepts: Mathematics, Finite difference coefficient, Finite difference, Finite difference method, Finite difference scheme, Differential equation, Significant difference, Ordinary differential equation

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