Temperature component method for heat conduction

ABSTRACT. The work includes a solving proposal for initial-boundary value 3D heat con-duction problems. The proposal is based on an extension of the body model region to the whole space where the space integral as a particular solution to the initial-boundary value problem is derived. Temperature component is separated from the space integral. The com-ponent admissibility conditions are formulated. For numerical purposes the approximated integral with a discrete set of fictitious components is proposed. The fictitious component intensities are determined on an approximate way from the boundary condition. An ap-proximate solution of the heat conduction problem is obtained by extension in time and contraction in space of the approximated integral. 1