- Tytuł:
- The usage of Trefftz functions and Picards iteration for solving different problems of a two-dimensional wave equation
- Autorzy:
-
Krzyszkowska, P.
Maciąg, A.
Walaszczyk, M. - Powiązania:
- https://bibliotekanauki.pl/articles/122544.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
wave equation
Trefftz functions
Picard's iteration
równanie falowe
funkcje Trefftza
iteracja Picarda - Opis:
- The paper presents a method of solving two-dimensional wave equations which describe vibrations of the membrane with variable thickness and with damping. The differential operator is decomposed into two parts. The first one describes vibrations of the membrane with constant thickness without damping. The second contains the rest of the original operator and is treated as inhomogeneity for the first one. Picard’s iterations are used to calculate a successive approximation of the exact solution. Trefftz functions (wave polynomials) are used to solve the problem in each iteration. The presented examples show the usefulness of the method. The approach described in this paper can be used also for solving nonlinear problems for a wave equation.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 129-140
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł