A symbolic computation scheme, based on the Lanczos Ο -method, is proposed for obtaining exact polynomial solutions to some perturbed differential equations with suitable boundary conditions. The automated Ο -method uses symbolic Faber polynomials as the perturbation terms for arbitrary circular sec
Symbolic Computation and Differential Equations: Lie Symmetries
β Scribed by John Carminati; Khai Vu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 296 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we discuss the package DESOLV written for the algebraic computing system MAPLE. DESOLV has routines which will systematically obtain with considerably flexibility, all resulting integrability conditions for any system of linear, coupled, partial differential equations. It also contains routines which will automatically generate and attempt to integrate the determining equations for the Lie symmetries of differential equations.
π SIMILAR VOLUMES
## Abstract Symmetries of stochastic ordinary differential equations (SODEs) are analysed. This work focuses on maintaining the properties of the Weiner processes after the application of infinitesimal transformations. The determining equations (DEs) for firstβorder SODEs are derived in an ItΓ΄ calc
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