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Maple |
Maple 10 Features
 Differential
Equations
Maple 10 uses new sophisticated functions to represent solutions to many
formerly unsolvable families of linear and nonlinear differential equations.
Original computational algorithms have been developed by the Maplesoft
research team–the most important development in ordinary differential
equations (ODEs) in the last four Maple releases.
The following is a list of some of the improvements for finding exact
solutions of ODEs and partial differential equations (PDEs), and systems
of ODEs and PDEs.
- Newly developed solving algorithms for
certain classes of Abel type ODEs, Riccati type ODEs, and
Heun function solutions
- Newly developed solving algorithms for
computing different types of Traveling Wave Solutions for
PDEs and PDE systems
- Newly added algorithms for computing Liouvillian
solutions and for solving a general class of ODEs that can
be mapped to Abel type
- Improved algorithms for computing doubly
periodic solutions for second order linear ODEs
Maple 10 also includes improvements and additions
to the DEtools and PDEtools packages.
- Nine new commands added to DEtools:
- Compute homomorphisms between the
solution spaces of two linear differential operators
- Compute particular solutions to
linear equations in cases where the general solution
cannot be found
- Handle differential rational normal
forms and hyperexponential functions
- New differential polynomial extensions
added to PDEtools for differential polynomial
forms. The interactive ODE Analyzer takes full advantage
of the new algorithms.
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Product Reviews |
"Without the Maple software, we would have to spend weeks generating the equations of motion for every experiment. Then the chances that we did it right would basically be near zero. There would always be a mistake somewhere. It is very difficult to set up a dynamic motion model by hand."
- Jean-Claude PiedBeouf, Ph.D Manager of Robotics, Canadian Space Agency
"Its very good - highly accurate and easy to use. The speed of Maple allows me to change equations and quickly reintegrate them into the application, so more possibilities can be explored to achieve the precise effect desired."
Shawn Neely, Senior R & D Director for PDI/Dreamworks |
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(NAG)
