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Pregled bibliografske jedinice broj: 357942

On the order of convergence of modified predictor-corrector method


Meštrović, Mladen; Ocvirk, Eva
On the order of convergence of modified predictor-corrector method // Far East Journal of Applied Mathematics, 31 (2008), 2; 245-254 (podatak o recenziji nije dostupan, članak, znanstveni)


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Naslov
On the order of convergence of modified predictor-corrector method

Autori
Meštrović, Mladen ; Ocvirk, Eva

Izvornik
Far East Journal of Applied Mathematics (0972-0960) 31 (2008), 2; 245-254

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
predictor-corrector method; order of convergence

Sažetak
An explicit numerical integration method is further developed. The nethod is based on the relationship that m-step Adams-Moulton method is linear convex combination of the (m-1)-step Adams-Moulton and m-step Adams-Bashforth method with a fixed weighting coefficients. A general form is used to evaluate the recurrence expressions using the different number of previous mesh points. The analyticalupper bound of modified predictor-corrector method is given in the closed form. The expressed order of convergence is now m+2. The explicit numerical algorithm is given for modifed 3-step predictor-corrector method. Some numerical examples, for the different kind of problems, first- and second-order nonlinear initial value problems, are used to demonstrate the efficiency and the accuracy of the proposed numerical method. The calculated numerical solutions show superiority of presented modified predictor-corrector method to the standard Adams-Bashforth – Moulton predictor-corrector method.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
082-0822994-2175 - Utjecaj okoliša na oblikovanje i dimenzioniranje vodnih građevina (Carević, Dalibor, MZOS ) ( POIROT)
082-1201829-2166 - Nestandardni modeli građevinskih konstrukcija (Lazarević, Damir, MZOS ) ( POIROT)

Ustanove:
Građevinski fakultet, Zagreb

Profili:

Avatar Url Mladen Meštrović (autor)


Citiraj ovu publikaciju

Meštrović, Mladen; Ocvirk, Eva
On the order of convergence of modified predictor-corrector method // Far East Journal of Applied Mathematics, 31 (2008), 2; 245-254 (podatak o recenziji nije dostupan, članak, znanstveni)
Meštrović, M. & Ocvirk, E. (2008) On the order of convergence of modified predictor-corrector method. Far East Journal of Applied Mathematics, 31 (2), 245-254.
@article{article, year = {2008}, pages = {245-254}, keywords = {predictor-corrector method, order of convergence}, journal = {Far East Journal of Applied Mathematics}, volume = {31}, number = {2}, issn = {0972-0960}, title = {On the order of convergence of modified predictor-corrector method}, keyword = {predictor-corrector method, order of convergence} }
@article{article, year = {2008}, pages = {245-254}, keywords = {predictor-corrector method, order of convergence}, journal = {Far East Journal of Applied Mathematics}, volume = {31}, number = {2}, issn = {0972-0960}, title = {On the order of convergence of modified predictor-corrector method}, keyword = {predictor-corrector method, order of convergence} }

Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Mathematical Reviews





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