Add to ORKGA set of Maple V R.3/4 computer algebra routines for the analytical solving of 1st. order ODEs, using Lie group symmetry methods, is presented. The set of commands includes a 1st. order ODE-solver and routines for, among other things: the explicit determination of the coefficients of the infinitesimal symmetry generator; the construction of the most general invariant 1st. order ODE under given symmetries; the determination of the canonical coordinates of the underlying invariant group; and the testing of the returned results
Differential equations are vitally important in numerous scientific fields. Oftentimes, they are qui...
This study presents a theoretical basis for and outlines the method of finding the Lie point symmetr...
In this paper Lie group theory is used to reduce the order of ordinary differential equations. For a...
An update of the ODEtools Maple package, for the analytical solving of 1st and 2nd order ODEs using ...
Problems involving partial or ordinary differential equations arise in various fields of science. Th...
The use of information technology in addition to traditional lectures affords a means to develop st...
Current ODE-solvers make use of a combination of symmetry methods and classification methods. Classi...
The paper has been presented at the 12th International Conference on Applications of Computer Algebr...
The main aim of this thesis is to describe the program Deltasym. It is a Maple program that is desig...
This thesis presents a number of applications of symbolic computing to the study of differenti...
In the late nineteenth century, Sophius Lie developed a technique to solve differential equations us...
AbstractA new technique for deriving the determining equations of nonclassical symmetries associated...
Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonli...
Este trabalho apresenta uma busca heurística pelas simetrias de Lie para equações diferencias parcia...
AbstractIn this paper we discuss the package DESOLV written for the algebraic computing system MAPLE...
Differential equations are vitally important in numerous scientific fields. Oftentimes, they are qui...
This study presents a theoretical basis for and outlines the method of finding the Lie point symmetr...
In this paper Lie group theory is used to reduce the order of ordinary differential equations. For a...
An update of the ODEtools Maple package, for the analytical solving of 1st and 2nd order ODEs using ...
Problems involving partial or ordinary differential equations arise in various fields of science. Th...
The use of information technology in addition to traditional lectures affords a means to develop st...
Current ODE-solvers make use of a combination of symmetry methods and classification methods. Classi...
The paper has been presented at the 12th International Conference on Applications of Computer Algebr...
The main aim of this thesis is to describe the program Deltasym. It is a Maple program that is desig...
This thesis presents a number of applications of symbolic computing to the study of differenti...
In the late nineteenth century, Sophius Lie developed a technique to solve differential equations us...
AbstractA new technique for deriving the determining equations of nonclassical symmetries associated...
Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonli...
Este trabalho apresenta uma busca heurística pelas simetrias de Lie para equações diferencias parcia...
AbstractIn this paper we discuss the package DESOLV written for the algebraic computing system MAPLE...
Differential equations are vitally important in numerous scientific fields. Oftentimes, they are qui...
This study presents a theoretical basis for and outlines the method of finding the Lie point symmetr...
In this paper Lie group theory is used to reduce the order of ordinary differential equations. For a...