Browsing by Subject "Burgers equation"

Now showing items 1-4 of 4

    • Article  

      Lie group analysis of two-dimensional variable-coefficient Burgers equation 

      Ivanova, Nataliya M.; Sophocleous, Christodoulos; Tracinà, Rita (2010)
      The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are ...
    • Article  

      Lie symmetries of generalized Burgers equations: application to boundary-value problems 

      Vaneeva, Olena O.; Sophocleous, Christodoulos; Leach, Peter G. L. (2015)
      There exist several approaches exploiting Lie symmetries in the reduction of boundary-value problems for partial differential equations modelling real-world phenomena to those problems for ordinary differential equations. ...
    • Article  

      Numerical similarity reductions of the (1+3)-dimensional Burgers equation 

      Christou, Marios Andreas; Sophocleous, Christodoulos (2011)
      We consider the (1+3)-dimensional Burgers equation ut = u xx + uyy + uzz + uux which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We ...
    • Article  

      Similarity reductions of the (1 + 3)-dimensional Burgers equation 

      Christou, Marios Andreas; Ivanova, Nataliya M.; Sophocleous, Christodoulos (2009)
      We consider the (1 + 3)-dimensional Burgers equation ut = uxx + uyy + uzz + uux which has considerable interest in mathematical physics. We complete the list of similarity reductions that are obtained from the Lie symmetries ...