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

• Autorzy: Lupa M. , Ładyga E.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

hyperbolic equation; boundary element method; discretization in time; numerical solution

PL

metoda elementów brzegowych; numeryczne rozwiązanie

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 1
• Strony: 83--92
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Lupa M.

autor

Ładyga E.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Majchrzak E., Boundary element method in heat transfer, Publ. of the Czest. Univ. of Technology, Czestochowa 2001 (in Polish).
• [2] Majchrzak E., Ładyga E., Mendakiewicz J., Piasecka Belkhayat A., Different variants of the boundary element method for parabolic equations, Scientific Research of the Institute of Mathematics and Computer Science 2004, 1(3), 127-132.
• [3] Kącki E., Partial differential equations, WNT, Warsaw 1995 (in Polish).
• [4] Lupa M., Analytical solution of Cattaneo equation, Scientific Research of the Institute of Mathematics and Computer Science 2007, 1(6), 127-132.