Numerics of Boundary-Domain Integral Equations for Heat Transfer BVP inNon-Homogeneous Isotropic Material in Plane

Abstract

In this project, we considered heat transfer boundary value problem for non homogeneousisotropic material in a plane. The boundary value problem were reduced to direct united boundarydomainintegro differential equation (UBDIDE) and direct segregated boundary-domain integralequation (SBDIE). The mesh-based discretization of the boundary-domain Integral equationswith triangular domain elements in conjunction with collocation method were implemented whichleads to a system of linear algebraic equation. The resulting algebraic equation were computed.Convergence of the method were investigated. The result shows that both approaches gives goodaccuracy as the number of nodes increases.