The Package SPDE for Determining Symmetries of Partial Differential Equations. The package SPDE provides a set of functions which may be applied to determine the symmetry group of Lie- or point-symmetries of a given system of partial differential equations. Preferably it is used interactively on a computer terminal. In many cases the determining system is solved completely automatically. In some other cases the user has to provide some additional input information for the solution algorithm to terminate. The package should only be used in compiled form.

References in zbMATH (referenced in 35 articles , 2 standard articles )

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  1. Sinkala, Winter; Nkalashe, Tembinkosi F.: Lie symmetry analysis of a first-order feedback model of option pricing (2015)
  2. Sinkala, W.; Chaisi, M.: Using Lie symmetry analysis to solve a problem that models mass transfer from a horizontal flat plate (2012)
  3. Kiraz, Figen Açil: Expanded Lie group method applied to generalized Boussinesq equation (2011)
  4. Sinkala, W.: Two ways to solve, using Lie group analysis, the fundamental valuation equation in the double-square-root model of the term structure (2011)
  5. Sinkala, W.; Leach, P.G.L.; O’Hara, J.G.: Invariance properties of a general bond-pricing equation (2008)
  6. Zhang, Shanqing; Li, Zhibin: An implementation for the algorithm of Janet bases of linear differential ideals in the Maple system (2004)
  7. Abd-el-Malek, Mina B.; El-Mansi, Samy M.A.: Group theoretic methods applied to Burgers’ equation (2000)
  8. Pap, Endre; Vivona, Doretta: Noncommutative and nonassociative pseudo-analysis and its applications on nonlinear partial differential equations (2000)
  9. Jerie, M.; O’Connor, J.E.R.; Prince, G.E.: Computer algebra determination of symmetries in general relativity (1998)
  10. Schwarz, Fritz: Janet bases for symmetry groups (1998)
  11. Goard, Joanna M.; Broadbridge, Philip: Nonlinear superposition principles obtained by Lie symmetry methods (1997)
  12. Hereman, W.: Review of symbolic software for Lie symmetry analysis (1997)
  13. Kovalev, V.F.; Pustovalov, V.V.: Group and renormgroup symmetry of a simple model for nonlinear phenomena in optics, gas dynamics, and plasma theory (1997)
  14. Sherring, J.; Head, A.K.; Prince, G.E.: DIMSYM and LIE: Symmetry determination packages (1997)
  15. Bluman, George; Doran-Wu, Patrick: The use of factors to discover potential systems or linearizations (1995)
  16. Clarkson, Peter A.: Nonclassical symmetry reductions of the Boussinesq equation (1995)
  17. Bluman, G.: Use and construction of potential symmetries (1993)
  18. Clarkson, P.A.: Nonclassical symmetry reductions of nonlinear partial differential equations (1993)
  19. Carminati, John; Devitt, John S.; Fee, Greg J.: Isogroups of differential equations using algebraic computing (1992)
  20. Olver, Peter J.: Symmetry and explicit solutions of partial differential equations (1992)

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