AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES

DOI10.1142/S0218396X99000059zbMath1360.65007MaRDI QIDQ2981633

Ronald E. Mickens

Publication date: 9 May 2017

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

On the use of nonstandard finite difference methods† ⋮ Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order

Cites Work

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• Finite-differenc models of ordinary differential equations: Influence of denominator functions
• Novel explicit finite-difference schemes for time-dependent Schrödinger equations
• Properties of finite difference models of non-linear conservative oscillators
• EXACT FINITE DIFFERENCE SCHEMES FOR TWO-DIMENSIONAL ADVECTION EQUATIONS
• PARABOLIC EQUATION DEVELOPMENT IN RECENT DECADE
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• Finite‐difference methods for solving the reaction‐diffusion equations of a simple isothermal chemical system
• Exact solutions to difference equation models of Burgers' equation
• The development of travelling waves in a simple isothermal chemical system - I. Quadratic autocatalysis with linear decay

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