Reaction-Diffusion Solver

Numerical solvers for stiff PDE systems in MATLAB and Julia.

Reaction-Diffusion Solver provides numerical tools for stiff reaction-diffusion systems in scientific computing and mathematical biology.

Bifurcation analysis and Turing pattern formation in a stiff reaction-diffusion system.

Overview

This project implements solvers for PDE systems exhibiting stiffness. Written in Julia, the solver evaluates parameter spaces to identify regions of Turing instability and pattern formation, circumventing the step-size limitations of standard explicit methods.

Highlights

  • Type: Official implementation for stiff reaction-diffusion PDE analysis
  • Focus: Numerical stability and steady-state bifurcation analysis
  • Stack: MATLAB and Julia (DifferentialEquations.jl)