Boundary Integral Equation Method For Steady State Heat Transfer Problem In A Plane

Abstract

In this thesis Dirichlet,Neumann and Mixed boundary value problems for poisson’s equations for the steady state heat transfer in 2D are considered, by the method of Greens theorem and Green’s identities. Green’s theorem is an equation on ∂Ω reducing the dimension by one to solve boundary value problems using boundary integral equation method. Using those concepts Dirichlet,Neumann and Mixed boundary value problems of Poisson’s equations are transformed to boundary integral equations and we have also show the equivalence of boundary value problem with boundary integral equation.