Nonstandard finite difference equations for ODEs and 1-D PDEs based on piecewise linearization

Applied Mathematics and Computation

Volumn 86, Issue 1, 1997, Pages 11-36

  Ramos, J I ^a   Garcia Lopez C M ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001782371     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00146-4     Document Type: Article

References (6)

1. R. E. Mickens, Nonstandard Finite Difference Models of Differential Equations, World Scientific, Singapore, 1994.
2. R. E. Mickens, A best finite-difference scheme for the Fisher equation, Numer. Methods Partial Diff. Eqs. 10:581-585 (1994).
3. R. E. Mickens, Comments on A second-order, chaos-free, explicit method for the numerical solution of a cubic reaction problem in neurophysiology, Numer. Methods Partial Diff. Eqs. 10:587-590 (1994).
4. R. P. Agarwal, Book review: Nonstandard finite difference models of differential equations, SIAM Review 37:459 (1995).
5. S. G. Rubin and P. K. Khosla, Higher-order numerical solutions using cubic splines, AIAA J. 14:851-858 (1976).
6. W. E. Schiesser, The Numerical Method of Lines, Academic Press, New York, 1991.