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 30 articles )

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  1. Cancès, Eric (ed.); Friesecke, Gero (ed.); Helgaker, Trygve Ulf (ed.); Lin, Lin (ed.): Mathematical methods in quantum chemistry. Abstracts from the workshop held March 18--24, 2018 (2018)
  2. Lange-Hegermann, Markus: The differential counting polynomial (2018)
  3. Yavuz, Mehmet; Yaşkıran, Burcu: Conformable derivative operator in modelling neuronal dynamics (2018)
  4. Berlyand, Leonid (ed.); Fuhrmann, Jan (ed.); Marciniak-Czochra, Anna (ed.); Surulescu, Christina (ed.): Mini-workshop: PDE models of motility and invasion in active biosystems. Abstracts from the mini-workshop held October 22--28, 2017 (2017)
  5. Lange-Hegermann, Markus: The differential dimension polynomial for characterizable differential ideals (2017)
  6. Paliathanasis, Andronikos; Tsamparlis, Michael: The reduction of the Laplace equation in certain Riemannian spaces and the resulting type II hidden symmetries (2014)
  7. Tsamparlis, Michael; Paliathanasis, Andronikos: Type II hidden symmetries for the homogeneous heat equation in some general classes of Riemannian spaces (2013)
  8. Vu, K. T.; Jefferson, G. F.; Carminati, J.: Finding higher symmetries of differential equations using the MAPLE package DESOLVII (2012)
  9. Poole, Douglas; Hereman, Willy: Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions (2011)
  10. Rocha Filho, Tarcísio M.; Figueiredo, Annibal: [SADE] a Maple package for the symmetry analysis of differential equations (2011)
  11. Bîlă, Nicoleta; Niesen, Jitse: A new class of symmetry reductions for parameter identification problems (2009)
  12. Gouveia, Paulo D. F.; Torres, Delfim F. M.: Computing ODE symmetries as abnormal variational symmetries (2009)
  13. Calapso, Maria Teresa; Udrişte, Constantin: Isothermic surfaces as solutions of Calapso PDE (2008)
  14. Liang, Songxin; Jeffrey, David J.: Automatic computation of the travelling wave solutions to nonlinear PDEs (2008)
  15. Kaçar, Ahmet; Terzioğlu, Ömer: Symbolic computation of the potential in a nonlinear Schrödinger equation (2007)
  16. Kadamani, S.; Snider, A. D.: USFKAD: an expert system for partial differential equations (2007)
  17. Gouveia, Paulo D. F.; Torres, Delfim F. M.; Rocha, Eugénio A. M.: Symbolic computation of variational symmetries in optimal control (2006)
  18. Rodionov, Alexei: Explicit solution for Lamé and other PDE systems. (2006)
  19. Zeng, Xin; Zeng, Jing: Symbolic computation and new families of exact solutions to the ((2 + 1))-dimensional dispersive long-wave equations (2006)
  20. 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)

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