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Differential Algebraic Equations in PTC Mathcad

Newbie

Differential Algebraic Equations in PTC Mathcad

By Mathcad Staff

pendulum.png

About this worksheet:

  • Explains functional qualities of PTC Mathcad's differential equation solving capabilities 
  • Applicable to Mathcad users looking to setup and solve problems involving equality constraints beyond the initial boundary conditions 
  • Uses an extended example (motion of a pendulum) to illustrate techniques for representing and solving problems in Mathcad

This worksheet using PTC Mathcad shows you how to solve an ordinary differential equation whose solution has additional equality constraints beyond initial or boundary conditions. These are known as Differential Algebraic Equations (DAE).  The solver for Differential Algebraic Equations is limited to solving problems up to index 3.

This worksheet takes you through a simple example of the motion of a pendulum. Specifically it discusses: 

  • A simple pendulum in rectangular coordinates 
  • The index of a DAE 
  • The index reduction and drift effect

This worksheet provides you with the example of the motion of a pendulum, along with all data, graphs, instruction and solutions.

Download and explore this worksheet yourself! You can download a free lifetime copy of PTC Mathcad Express and get 30 days of full functionality.