An operator method for solving the determining equations for the group analysis of differential equations

Shenghua Shi; Herschel Rabitz

doi:10.1016/0096-3003(88)90108-7

An operator method for solving the determining equations for the group analysis of differential equations

Shenghua Shi
, Herschel Rabitz

Research output: Contribution to journal › Article › peer-review

Abstract

A Lie mapping based operator algorithm combined with the method of characteristics is suggested to provide a general and practical way to solve the determining equations for an invariance group of transformation of a set of ordinary differential equations.

Original language	English (US)
Pages (from-to)	101-113
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	25
Issue number	2
DOIs	https://doi.org/10.1016/0096-3003(88)90108-7
State	Published - Jan 1988

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/0096-3003(88)90108-7

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title = "An operator method for solving the determining equations for the group analysis of differential equations",

abstract = "A Lie mapping based operator algorithm combined with the method of characteristics is suggested to provide a general and practical way to solve the determining equations for an invariance group of transformation of a set of ordinary differential equations.",

author = "Shenghua Shi and Herschel Rabitz",

year = "1988",

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An operator method for solving the determining equations for the group analysis of differential equations

Abstract

All Science Journal Classification (ASJC) codes

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