1st Edition

Differential Equations and Group Methods for Scientists and Engineers

By James M. Hill Copyright 1992
214 Pages
by CRC Press

Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each... Read more
PREFACE. INTRODUCTION. ONE-PARAMETER GROUPS AND LIE SERIES. One- INVARIANCE OF STANDARD LINEAR ORDINARY DIFFERENTIAL EQUATIONS. First Order Equation g'=p(x)g=q(x). FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS. SECOND AND HIGHER ORDER ORDINARY DIFFERENTIAL EQUATIONS. LINEAR PARTIAL DIFFERENTIAL EQUATIONS. NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS. BIBLIOGRAPHY. ANSWERS AND HINTS. SUMMARY OF RESEARCH AREAS.

Biography

James M. Hill