Solving Partial Differential Equations Using Finite Difference Method

Implementing finite difference method for PDEs with Gauss-Seidel iteration, utilizing the infinity norm of the matrix difference between consecutive iterations as convergence criterion.

Solving Partial Differential Equations Using the ADI Method (Two-Micro Heater Equation)

Implementation of the ADI method for solving the two-dimensional heating equation, including algorithm breakdown and code-oriented explanations.

C-N Method for Solving Partial Differential Equations

A C-N (Crank-Nicolson) method implementation for solving parabolic partial differential equations with fixed step size: du/dx - a * d²u/dx² = 0. This code allows modification of coefficient 'a' to handle different equation parameters and supports variable coefficients through loop-based updates. The algorithm employs implicit time-stepping with second-order accuracy in both time and space dimensions.