A computational approach for the analytical solving of partial differential equations. A strategy for the analytical solving of partial differential equations and a first implementation of it as the PDE tools software package of commands, using the Maple V R.3 symbolic computing system, are presented. This implementation includes a PDE-solver, a command for changing variables and some other related tool-commands.

References in zbMATH (referenced in 23 articles )

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  1. Paliathanasis, Andronikos; Tsamparlis, Michael: The reduction of the Laplace equation in certain Riemannian spaces and the resulting type II hidden symmetries (2014)
  2. Tsamparlis, Michael; Paliathanasis, Andronikos: Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces (2013)
  3. Vu, K.T.; Jefferson, G.F.; Carminati, J.: Finding higher symmetries of differential equations using the MAPLE package DESOLVII (2012)
  4. Poole, Douglas; Hereman, Willy: Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions (2011)
  5. Rocha Filho, Tarcísio M.; Figueiredo, Annibal: [SADE] a Maple package for the symmetry analysis of differential equations (2011)
  6. B{^ı}lă, Nicoleta; Niesen, Jitse: A new class of symmetry reductions for parameter identification problems (2009)
  7. Gouveia, Paulo D.F.; Torres, Delfim F.M.: Computing ODE symmetries as abnormal variational symmetries (2009)
  8. Calapso, Maria Teresa; Udrişte, Constantin: Isothermic surfaces as solutions of Calapso PDE (2008)
  9. Liang, Songxin; Jeffrey, David J.: Automatic computation of the travelling wave solutions to nonlinear PDEs (2008)
  10. Kadamani, S.; Snider, A.D.: USFKAD: an expert system for partial differential equations (2007)
  11. Gouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M.: Symbolic computation of variational symmetries in optimal control (2006)
  12. Rodionov, Alexei: Explicit solution for Lamé and other PDE systems. (2006)
  13. Zeng, Xin; Zeng, Jing: Symbolic computation and new families of exact solutions to the $(2 + 1)$-dimensional dispersive long-wave equations (2006)
  14. Baldwin, D.; Göktaş, Ü.; Hereman, W.; Hong, L.; Martino, R.S.; Miller, J.C.: Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs (2004)
  15. Brunelli, J.C.: PSEUDO: applications of streams and lazy evaluation to integrable models (2004)
  16. Chen, Yong; Li, Biao: Symbolic computation and construction of soliton-like solutions to the $(2 + 1)$-dimensional dispersive long-wave equations (2004)
  17. Güyer, Tolga; Mirasyedioǧlu, Şeref: A symbolic computation approach to a three-dimensional inverse problem for the transport equation. (2004)
  18. Fan, Engui; Dai, H.H.: A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations (2003)
  19. Güyer, Tolga; Mirasyedioğlu, Şeref: A computational approach for the analytical solving of a Dirichlet-type problem for third order partial differential equations (2003)
  20. Calmet, J.; Seiler, W.M.: Computer algebra and field theories (1998)

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