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

Majchrzak E., Turchan Ł.

Journal of Applied Mathematics and Computational Mechanics

2013

Vol. 12, nr 4

89--95

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.

Application of the Boundary Element Method using discretization in time for numerical solution of hyperbolic equation

Lupa M., Ładyga E.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2008

Vol. 7, nr 1

83-92

The hyperbolic equation (1D problem) supplemented by adequate boundary and initial conditions is considered. This equation is solved using the combined variant of the boundary element method. The problem is also solved in analytical way. The comparison of the results obtained by means of these two methods confirms the effectiveness and accuracy of the BEM.