JMP Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Journal of Mathematical Physics / Volume 21 / Issue 10

J. Math. Phys. 21, 2475 (1980); http://dx.doi.org/10.1063/1.524352 (6 pages)

Topological solution of ordinary and partial finite difference equations

Adel F. Antippa1 and Nguyen Ky Toan2

1Département de Physique, Université du Québec à Trois–Rivières, Trois‐Rivières, Québec, Canada, G9A 5H7
2Département de Mathématiques, Université du Québec à Trois–Riviéres, Trois‐Rivières, Québec, Canada, G9A 5H7

Using the discrete path formalism, we obtain a topological solution for ordinary, as well as partial, linear inhomogeneous finite difference equations with variable coefficients and arbitrarily specified boundary conditions. The solution is homomorphic to a set of discrete paths constructed from a set of vectors determined by the level differences of the equation.

KEYWORDS and PACS

Keywords

BOUNDARY CONDITIONS, TOPOLOGY, ANALYTICAL SOLUTION, FINITE DIFFERENCE METHOD

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.524352

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)


Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Topological solution of ordinary and partial finite difference equations
  2. The rosette of rosettes of Hilbert spaces in the indefinite metric state space of the quantized Maxwell field
  3. Asymptotic approximations for modified Bessel functions
  4. On electromagnetic multipole fields in a finite, spherically symmetric region
  5. Erratum: Characteristic surfaces and characteristic initial data for the generalized Einstein–Maxwell field equations [J. Math. Phys. 20, 1745(1979)].
Go to AIP Home
Copyright © American Institute of Physics
close