Lectures related to Numerical Approximation of PDEs

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Explores the stability analysis of finite difference methods for solving differential equations.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Covers the application of numerical methods to solve differential equations using MATLAB.

Covers Euler and Crank-Nicolson methods for solving differential equations.