Python notebook for the Swift-Hohenberg equation. Explores pattern formations using numerical continuation and direct simulation methods.

Python notebook for the Cahn-Hilliard equation. Explores pattern formations using numerical continuation and direct simulation methods.

Python notebook for the Kuramoto-Sivashinsky equation. Explores pattern formations using numerical continuation and direct simulation methods.

Python notebook for the Allen-Cahn equation. Explores pattern formations using numerical continuation and direct simulation methods.

Python notebook for the FitzHugh-Nagumo equation. Explores pattern formations using numerical continuation methods.

Python notebook for the Bratu equation. Explores pattern formations using numerical continuation methods.

MATLAB project that explores spiral wave solutions in the theta model through a PDE formulation using time stepping and numerical continuation methods.

MATLAB project that simulates 2D spiral waves using geometric flows. The simulation visualizes the formation and evolution of spiral wave patterns in a two-dimensional space.