Numerical Solution of 2D Heat equation using Matlab.

Adiabatic flame temperature:       The temperature of the products in adiabatic combustion of fuel without applying for any shaft work is defined as the “Adiabatic Flame Temperature”.        In a combustion process, the heat produced during the exothermic chemical reaction…

The heat equation is a second order partial differential equation that describes how the distribution of some quantity (such as heat) evolves over time in a solid medium, as it spontaneously flows from places where it is higher towards places where it is lower. It is a special case of the diffusion equation. …

The first step to computing the Navier-Stokes’ equation is a wave propagation equation in 1D. The 1 dimensional linear convection equation: `(del u)/(del t) + c (del u)/(del x) = 0` 'u' is a quantity that is transported at a constant velocity. The constant velocity makes the equation linear in nature contrary to…

Problem Statement: The comparative error analysis of different order of approximations for the function sin(x)/x^3 is presented below using Finite Difference Method.  The matlab is used to code and plot the results.     The error and slope analysis are presented for 20 values of dx. The range is mentioned…