Browsing by Subject "Variable coefficients"

Now showing items 1-6 of 6

    • Conference Object  

      Development of an efficient two-phase 3D numerical wave flume 

      Frantzis, C.; Grigoriadis, D. G. E. (Society of Petroleum Engineers, 2017)
      In the present study an efficient two-phase 3D numerical wave flume was developed, tested and validated. The most important advantage over conventional numerical wave flumes is the use of a constant coefficient Poisson ...
    • Conference Object  

      Group analysis of a class of nonlinear Kolmogorov equations 

      Vaneeva, Olena O.; Karadzhov, Y.; Sophocleous, Christodoulos (Springer New York LLC, 2016)
      A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The complete group classification is achieved using ...
    • Article  

      Group analysis of Benjamin - Bona - Mahony equations with time dependent coefficients 

      Vaneeva, Olena O.; Popovych, R. O.; Sophocleous, Christodoulos (2015)
      Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry extensions are presented: up to point ...
    • Article  

      Laplace type invariants for variable coefficient mKdV equations 

      Tsaousi, Christina; Tracinà, Rita; Sophocleous, Christodoulos (2015)
      We consider a class of variable-coefficient mKdV equations. We derive the equivalence transformations in the infinitesimal form and we employ them to construct differential invariants of the respective equivalence algebra. ...
    • Article  

      Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries 

      Vaneeva, Olena O.; Papanicolaou, N. C.; Christou, Marios Andreas; Sophocleous, Christodoulos (2014)
      The exhaustive group classification of a class of variable coefficient generalized KdV equations is presented, which completes and enhances results existing in the literature. Lie symmetries are used for solving an initial ...
    • Article  

      On the invariants of two dimensional linear parabolic equations 

      Tsaousi, Christina; Sophocleous, Christodoulos; Tracinà, Rita (2012)
      We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results ...