A New Divergence Method for Heat Transfer with Neumann Boundary Condition

New Divergence Theorem is a new formulation for the simplest case of heat
transfer problem involving Neumann Boundary Condition which combines two
different numerical techniques which are Finite Element Method (FEM) and Finite
Volume Method (FVM). The use of numerical techniques to solve such problems is
therefore considered essentials since the powerful Finite Element Method (FEM) is
capable in solving heat transfer analysis by giving a piecewise approximation of the
domain. This study aims to evaluate the hypothesis of combining FEM with the FVM
and to develop a new formulation of heat transfer problem involving Neumann
Boundary Condition. Finite Volume Method (FVM), which uses the concept of Green
Divergence Theorem, where a surface integral can be transformed to line integral has
less accuracy since it develops the assumption of constant flux.