TY  - JOUR
AB  - Purpose This paper aims to propose a new numerical method for the solution of the Blasius and magnetohydrodynamic (MHD) Falkner-Skan boundary-layer equations. The Blasius and MHD Falkner-Skan equations are third-order nonlinear boundary value problems on the semi-infinite domain.Design/methodology/approach The approach is based upon modified rational Bernoulli functions. The operational matrices of derivative and product of modified rational Bernoulli functions are presented. These matrices together with the collocation method are then utilized to reduce the solution of the Blasius and MHD Falkner-Skan boundary-layer equations to the solution of a system of algebraic equations.Findings The method is computationally very attractive and gives very accurate results.Originality/value Many problems in science and engineering are set in unbounded domains. One approach to solve these problems is based on rational functions. In this work, a new rational function is used to find solutions of the Blasius and MHD Falkner-Skan boundary-layer equations.
VL  - 27
IS  - 8
SN  - 0961-5539
DO  - 10.1108/HFF-05-2016-0190
UR  - https://doi.org/10.1108/HFF-05-2016-0190
AU  - Calvert Velinda
AU  - Razzaghi Mohsen
PY  - 2017
Y1  - 2017/01/01
TI  - Solutions of the Blasius and MHD Falkner-Skan boundary-layer equations by modified rational Bernoulli functions
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - Emerald Publishing Limited
SP  - 1687
EP  - 1705
Y2  - 2024/04/19
ER  -