Numerical Methods for Two-Dimensional Hyperbolic and Parabolic Partial Differential Equations in MATLAB

Numerical Solution Methods for 2D Hyperbolic and Parabolic PDEs in MATLAB Environment with Code Implementation Insights

Solving One-Dimensional Heat Conduction Equation (Parabolic Type) Using Classical Implicit Scheme

Implementation of Classical Implicit Method for One-Dimensional Heat Conduction Equation (Parabolic PDE) with Code Integration

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.