Automating computations for PDEs
Automating computations for PDEs
with Mathematica
We’ve seen lots of cool, computer generated illustrations of solutions of PDEs this semester. With the test just around the corner, I’d like to show you a tool that will ease your algebraic workload. When it comes to computer algebra, there’s definitely nothing more powerful than Wolfram Research’s Mathematica.
Assumptions
Assumptions
Computing a full Fourier series
Computing a full Fourier series
Computing a Fourier sine series
Computing a Fourier sine series
Computing a Fourier cosine series
Computing a Fourier cosine series
Sturm-Liouville problems
Sturm-Liouville problems
Example 1
Example 1
Example II
Example II
Example III - Airy functions
Example III - Airy functions
Necessary numerics
Necessary numerics