Parallel Implementation of the Picard Iteration For Linear BVP PDEs

Parallel Picard Iteration for a Linear Hyperbolic BVP PDE

This is a demonstration complete with a small pdf presentation using the MATLAB symbolic and parallel toolboxes to solve a Linear Hyperbolic BVP PDE. Note that this is not a general solver and will need to be somewhat customized to your particular BVP PDE application. Speed-up is proportional to the number of differential variables your equation contains (i.e. a 2 variable second order PDE will see at most a 2x speed up in computations).

To run the demo simply type the following commands into your MATLAB command prompt:
>>seqPicardPDESolver();
>>parPicardPDESolver();

You can change the maximum number of Picard Iterations based on your available computer memory simply by specifying N before running. For example, to change the default N=20 iterations to N=21 simply type the following at your MATLAB command prompt:
>>seqPicardPDESolver(21);
>>parPicardPDESolver(21);