Lectures related to Ordinary Differential Equations: Non-linear Analysis

Finite Difference Method: Approximating Derivatives and Equations

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

Numerical Methods: Differential Equations and Stability Analysis

Covers numerical methods for solving differential equations and their stability analysis, focusing on error calculation and practical applications in engineering and science.

High Order Methods: Space Discretisation

Covers high order methods for space discretisation in linear differential systems.

Elasto-gravity Bending: Mechanics of Slender Structure

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Differential Equations: Numerical Methods

Covers the solution of first-order differential equations using numerical methods.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.