Pregled bibliografske jedinice broj: 106657
Numerical solving of initial-value problems by Rbf basis functions
Numerical solving of initial-value problems by Rbf basis functions // Structural engineering and mechanics, 14 (2002), 3; 263-285 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 106657 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Numerical solving of initial-value problems by Rbf basis functions
Autori
Gotovac, Blaž ; Kozulić, Vedrana
Izvornik
Structural engineering and mechanics (1225-4568) 14
(2002), 3;
263-285
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
vibrations; numerical solution; Rvachev's basis functions; collocation method
Sažetak
This paper presents a numerical procedure for solving initial-value problems using the special functions which belong to a class of Rvachev's basis functions Rbf based on algebraic and trigonometric polynomials. Because of infinite derivability of these functions, derivatives of all orders, required by differential equation of the problem and initial conditions, are used directly in the numerical procedure. The accuracy and stability of the proposed numerical procedure are proved on an example of a single degree of freedom system. Critical time step was also determined. An algorithm for solving multiple degree of freedom systems by the collocation method was developed. Numerical results obtained by Rbf functions are compared with exact solutions and results obtained by the most commonly used numerical procedures for solving initial-value problems.
Izvorni jezik
Engleski
Znanstvena područja
Građevinarstvo
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- SCIexp
