| GROUP THEORETIC TECHNIQUES FOR THE SIMILARITY SOLUTION OF SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH AUXILIARY CONDITIONS. (1998) | |||||||||
Abstract | |||||||||
| A systematic formalism is presented for reducing the number of independent variables in some systems of partial differential equations with boundary and initial conditions. The procedure is a further modification of the one-parameter group methods (Birkhoff, Morgan). Basically, two techniques are presented which yield an orderly attack of practical problems: (I) Boundary and initial conditions are taken into account explicitly when establishing a suitable transformation group. (II) The invariants of a transformation group are determined via group theory. Viscous flow and heat transfer problems serve as illustrations. (Author) | |||||||||
Details der Publikation | |||||||||
| |||||||||