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Systems of Equations

Systems of Equations

Update: 2016-05-03

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Description

An ODE involving higher order derivatives is rewritten as a vector system involving only first order derivatives. The classic Van der Pol nonlinear oscillator is provided as an example. The VdP equation becomes stiff as the parameter is increased.

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Predator-Prey Equations

Predator-Prey Equations

2016-05-0314:17

Lorenz Attractor and Chaos

Lorenz Attractor and Chaos

2016-05-0310:24

Tumbling Box

2016-05-0309:51

Systems of Equations

Systems of Equations

2016-05-0314:16

The MATLAB ODE Suite

The MATLAB ODE Suite

2016-05-0305:34

ODE45

2016-05-0306:46

Stiffness, ODE23s, ODE15s

Stiffness, ODE23s, ODE15s

2016-05-0307:14

Order, Naming Conventions

Order, Naming Conventions

2016-05-0305:26

Estimating Error, ODE23

Estimating Error, ODE23

2016-05-0310:37

Midpoint Method, ODE2

Midpoint Method, ODE2

2016-05-0306:46

Classical Runge-Kutta, ODE4

Classical Runge-Kutta, ODE4

2016-05-0309:38

Euler, ODE1

2016-05-0315:22

Laplace Equation

Laplace Equation

2016-04-1213:17

Fourier Series

2016-04-1216:35

Examples of Fourier Series

Examples of Fourier Series

2016-04-1213:56

Fourier Series Solution of Laplace's Equation

Fourier Series Solution of Laplace's Equation

2016-04-1214:03

Heat Equation

2016-04-1210:48

Wave Equation

2016-04-1215:13

Boundary Conditions Replace Initial Conditions

Boundary Conditions Replace Initial Conditions

2016-04-1217:03

Singular Value Decomposition (the SVD)

Singular Value Decomposition (the SVD)

2016-04-1214:10

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Systems of Equations

Systems of Equations

Cleve Moler