Premium
Solution of the Blasius and Sakiadis equation by generalized iterative differential quadrature method
Author(s) -
Girgin Zekeriya
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1354
Subject(s) - quadrature (astronomy) , nyström method , mathematics , differential equation , iterative method , gauss–kronrod quadrature formula , mathematical analysis , grid , numerical integration , numerical analysis , clenshaw–curtis quadrature , tanh sinh quadrature , integral equation , mathematical optimization , gaussian quadrature , geometry , physics , optics
The Blasius and Sakiadis equation was solved earlier with different numerical methods. In this study, it was solved by using the generalized iterative differential quadrature method (GIDQM). And more than one condition are imposed at the same point without using any higher‐order polynomial or δ‐point approximation in GIDQM although it is one of the most important drawbacks in the differential quadrature method (DQM). Procedure is started with an initial guess value and true results are obtained by iterations. More grid points are used. Hence, the solution of the Blasius equation is calculated precisely and showed good agreements when compared with other works. Copyright © 2009 John Wiley & Sons, Ltd.