Programs in Physics & Physical Chemistry
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|Manuscript Title: EXPFIT4 - a Fortran program for the numerical solution of systems of nonlinear second-order initial-value problems.|
|Authors: L.Gr. Ixaru, H. De Meyer, G. Vanden Berghe, M. Van Daele|
|Program title: EXPFIT4|
|Catalogue identifier: ADEZ_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 100(1997)71|
|Programming language: Fortran.|
|Computer: 386/486 Pentium-based PC.|
|Operating system: MS-DOS, Unix.|
|Keywords: General purpose, Newtonian physics, Celestial mechanics, Linear and nonlinear Second order, Differential equations, Initial-value problems, Exponential fitting, Multistep methods, Stepsize control.|
Nature of problem:
All physical problems which lend themselves to a description by a non- stiff system of linear and/or nonlinear differential equations of second order, such as pendulum problems, anharmonic oscillator problems, Lagrange problems, celestial mechanics problems, etc.
A previously developed sixth-order four-step exponential-fitted method  is used in predictor-corrector mode. The efficiency of the method relies on the variability of the stepsize and on the control of the local truncation error.
Depends on the size of the problem; of the order of a few seconds for systems of less than 10 equations and if no more than 1000 steps are required.
|||Parallel Fortran (version 2.1.3) User Guide, 3L Ltd., UK (1990)|
|||L.Gr. Ixaru, G. Vanden Berghe, H. De Meyer and G. Van Daele, Computer Physics Communications (1997) (submitted).|
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