Solution of dual phase lag equation by means of the boundary element method using discretization in time

Abstract

Abstract. The dual phase lag equation describing the temperature field in a 3D domain is considered. This equation supplemented by boundary and initial conditions is solved by means of the boundary element method using discretization in time, while at the same time the Dirichlet and Neumann boundary conditions are taken into account. Numerical realization of the BEM for the constant boundary elements and constant internal cells is presented. The example of computations concerns the temperature field distribution in a heated domain. The conclusions connected with the proper choice of time step and discretization of the domain considered are formulated.

A Computational Model for Nonlinear Biomechanics Problems of FGA Biological Soft Tissues

“…Krahulec et al [27] used the LRBFCM to solve (10) as follows: The dual-phase-lag bioheat equation in the absence of a fractional derivative may be written as [28] cρ…”