Similarity solutions of systems of partial differential equations using MACSYMA

Technical Report · Mon Oct 01 00:00:00 EDT 1979

DOI:https://doi.org/10.2172/5204821· OSTI ID:5204821

Rosenau, P.; Schwarzmeier, J. L.

A code has been written to use the algebraic computer system MACSYMA to generate systematically the infinitesimal similarity groups corresponding to systems of quasi-linear partial differential equations. The infinitesimal similarity groups can be used to find exact solutions of the partial differential equations. In an example from fluid mechanics the similarity method using the computer code reproduces immediately a solution obtained from dimensional analysis.

• Research Organization: New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 5204821
• Report Number(s): COO-3077-160
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
ANALYTICAL SOLUTION
FLUID MECHANICS
LAMINAR FLOW
STEADY FLOW
COMPUTER CALCULATIONS
GROUP THEORY
INCOMPRESSIBLE FLOW
TWO-DIMENSIONAL CALCULATIONS
VISCOUS FLOW
EQUATIONS
FLUID FLOW
MATHEMATICS
MECHANICS
990200* - Mathematics & Computers
640410 - Fluid Physics- General Fluid Dynamics