Napredna pretraga

Pregled bibliografske jedinice broj: 106657

Numerical solving of initial-value problems by Rbf basis functions


Gotovac, Blaž; Kozulić, Vedrana
Numerical solving of initial-value problems by Rbf basis functions // Structural engineering and mechanics, 14 (2002), 3; 263-285 (međunarodna recenzija, članak, znanstveni)


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



POVEZANOST RADA


Projekt / tema
083132

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split

Profili:

Avatar Url Blaž Gotovac (autor)

Avatar Url Vedrana Kozulić (autor)

Citiraj ovu publikaciju

Gotovac, Blaž; Kozulić, Vedrana
Numerical solving of initial-value problems by Rbf basis functions // Structural engineering and mechanics, 14 (2002), 3; 263-285 (međunarodna recenzija, članak, znanstveni)
Gotovac, B. & Kozulić, V. (2002) Numerical solving of initial-value problems by Rbf basis functions. Structural engineering and mechanics, 14 (3), 263-285.
@article{article, year = {2002}, pages = {263-285}, keywords = {vibrations, numerical solution, Rvachev's basis functions, collocation method}, journal = {Structural engineering and mechanics}, volume = {14}, number = {3}, issn = {1225-4568}, title = {Numerical solving of initial-value problems by Rbf basis functions}, keyword = {vibrations, numerical solution, Rvachev's basis functions, collocation method} }

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