Numerical Investigation of Transient Heat Conduction Analysis in Functionally Graded Material (FGMs) Using MATLAB Partial Differential Equation (PDE) Toolbox

MATLAB partial differential equation (PDE) toolbox is used to evolute the general partial differential equation of different problems like heat transfer, structural mechanics, and electromagnetics. It can find the heat flow rates, heat flux, and temperature distribution over the surfaces by modeling conduction-dominant heat transfer problems. Here, this chapter has solved the previous research problems of two-dimensional transient heat conduction by using MATLAB partial differential equations (PDE) toolbox simulation. Previously, it was solved by using the Numerical Manifold Method (NMM). Here, firstly, 2D or 3D geometry is imported from mesh data or STL files. Automatically, the PDEs toolbox creates meshes using tetrahedral and triangular elements through which solved the PDEs by using finite element methods, and post-processing is done to analyze the results. The findings indicate that the use of the MATLAB PDE toolbox as a solution technique is highly efficient, with closely matched results to the solution.