Comprehensive Solutions and Analysis of Heat Equation Problems

This assignment provides detailed solutions to various heat equation problems using mathematical methods. It covers topics such as separation of variables, Fourier series, and numerical solutions using MATLAB. The solutions include step-by-step explanations for boundary value problems and initial conditions. Additionally, the assignment features MATLAB code for visualizing the solutions graphically. The problems address different scenarios, including heat distribution in a rod and the effects of varying parameters on the temperature profile. The document aims to provide a comprehensive guide for students studying partial differential equations and heat transfer, offering both analytical and computational approaches to problem-solving. Desklib is a valuable platform for students, offering a wide array of solved assignments and past papers to aid in their studies.