Special Session 20: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations
Approximate Symmetry Methods with Applications
Mehmet Pakdemirli
Manisa Celal Bayar University Turkey
Co-Author(s):
Abstract:
Three common approximate symmetry methods with the newly proposed additional three methods are briefly discussed. Exact and approximate symmetry generators are calculated for sample ordinary and partial differential equations. The first three methods and the new three methods are contrasted within each other as well as with the exact symmetries. The characteristic features of the methods are exploited using sample problems. Approximate solutions are found using the various approximate symmetry theories and contrasted with each other and with the exact solutions.