Numerical Methods in Spontaneous Combustion with the Help of MATLAB

Spontaneous combustion is a complicated process and its control function is a partial differential equation (PDE) of heat conduction. With the help of initial conditions and boundary conditions, we can get unique solution. The correspondence conditions are called conditions for unique solution. However, analytical solution is only possible for a few conditions. Hereby, with the help of computer, we introduce numerical methods to get numerical solutions. We will introduce both the analytical method and the numerical methods for a certain kind of spontaneous combustion. We will mainly focus on the numerical methods, since it has better competence when solving complex problems. And also to insure the accuracy of the numerical methods, we will contrast it with analytical solution. MATLAB is used as the tool of programme to solve the problem easily.