Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] aduj_v1_0.tar.gz(24 Kbytes) | ||
---|---|---|

Manuscript Title: Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations | ||

Authors: D. Baldwin, Ü. Göktas, W. Hereman | ||

Program title: DDESpecialSolutions.m | ||

Catalogue identifier: ADUJ_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 162(2004)203 | ||

Programming language: Mathematica, version 3.0 or higher. | ||

Computer: Created using a PC, but can be run on UNIX and Apple machines. | ||

Operating system: Windows 2000 and XP. | ||

RAM: 9 MB | ||

Keywords: Exact solutions, traveling wave solutions, differential-difference equations, semi-discrete lattices, tanh-method. | ||

PACS: 02.70.Wz, 02.30.Ik, 02.30.Jr, 02.90.+p. | ||

Classification: 5, 4.3. | ||

Nature of problem:The program computes exact solutions to differential-difference equations in terms of the tanh function. Such solutions describe particle vibrations in lattices, currents in electrical networks, pulses in biological chains, etc. | ||

Solution method:After the differential-difference equation is put in a traveling frame of reference, the coefficients of a candidate polynomial solution in tanh are solved for. The resulting traveling wave solutions are tested by substitution into the original differential-difference equation. | ||

Restrictions:The system of differential-difference equations must be polynomial. Solutions are polynomial in tanh. | ||

Running time:The average run time of 16 cases (including the Toda, Volterra, and Ablowitz-Ladik lattices) is 0.228 seconds with a standard deviation of 0.165 seconds on a 2.4GHz Pentium 4 with 512 MB RAM running Mathematica 4.1. The running time may vary considerably, depending on the complexity of the problem. |

Disclaimer | ScienceDirect | CPC Journal | CPC | QUB |