Effect and efficient approach of solving heat equation by different numerical approaches including crank-nicolson schmidt (Method) which is still acting as a major Role

In this paper we discuss the equation that governs the conduction of heat through a body. We begin with the “Heat equation” (HE) in one-dimensional case in a bounded domain, by the Fourier's Point of view, by numerical approach using Finite Differences Methods (FDM), Bender-Schmidt recurrence equation (BSRE), by the view of Radial Function, andby Implicit Collocation Technique (ICT), finally the Crank Nicolson Schmidt (CNS) solving partial Differential equation (HE Only), by using an example and get the reasonably coincide approximate solution compare with exact solution and also we explain CNS is still useful like as a major role to solve HE. Discuss with numerical example for each methods.