Solution of heat equation (Partial Differential Equation) by various methods

Abstract

In the present paper we solved heat equation (Partial Differential Equation) by various methods. The methods used here are Laplace Transform method, method of separation of variables, Fourier Transform and MATLAB software. We reached the same solution at the end in Laplace Transform method, method of separation of variables, but by Fourier Transform we reached solution in different form that is in sine and cosine series form.