The VariationalCalculus Package - Maple Application Center
Application Center Applications The VariationalCalculus Package

The VariationalCalculus Package

Author
: Maplesoft AuthorMaplesoft
Engineering software solutions from Maplesoft
This Application runs in Maple. Don't have Maple? No problem!
 Try Maple free for 15 days!
The new VariationalCalculus package in Maple 8 provides routines for solving problems in the calculus of variations, which studies nature's most "efficient" curves and surfaces. Examples include: find the shortest path between two points on a 3-D surface, shape a ramp between two heights such that a ball rolling down it reaches the bottom in minimum time, and find the shape of a soap film having minimum surface area spanning a given wire frame. Such problems can often be solved with the Euler-Lagrange equation, which generalizes the Lagrange Multiplier Theorem. The Euler-Lagrange equation is easy to write down in general but notoriously difficult to write down and solve for most practical problems. The VariationalCalculus package automates the construction and analysis of the Euler-Lagrange equation.

Application Details

Publish Date: April 25, 2002
Created In: Maple 8
Language: English

More Like This

Creating Maple Documents: Deriving the Rocket Equation
Pricing Arithmetic Average Asian Options
Heating an Oil Stream Through Three Steam-Heated Tanks
Solving Differential-Algebraic Equations in Maple 9.5
Tips on Using Units and Dimensions in Maple
Improving Your Maple Code with map and seq
Applications of the Global Optimization Toolbox
Solving ordinary differential equations using Maple
Color Plate: Icosahedron
2
Color Plate: Dirichlet Problem for a circle
0