Examples

The MOLE library contains many examples written in OCTAVE/MATLAB, C++, and Julia. These examples span a broad range of partial differential equations. Below are more technical explinations of the examples included in the library.

NOTE: The name for OCTAVE/MATLAB, C++, and Julia will be the same (i.e., the files elliptic1D.m, elliptic1D.cpp, and elliptic1D.jl solve the same differential equation explained here under Elliptic1D). These examples are only the ones implemented in Julia. There are many more OCTAVE/MATLAB and C++ examples, which can be found in the main MOLE documentation.

Elliptic Problems

• 1D Elliptic Problems
  • Elliptic 1D
  • Elliptic1D Add Scalar Boundary Conditions
• 2D Elliptic Problems
  • Elliptic2D X Dirichlet Y Dirichlet
  • Elliptic2D X Periodic Y Dirichlet

Hyperbolic Problems

• 1D Hyperbolic Problems
  • Hyperbolic 1D
  • Burgers 1D

Parabolic Problems

• 2D Parabolic Problems

  • Parabolic2D

  More examples will be added in the future.