@Article{cmes.2008.032.001,
AUTHOR = {Chein-Shan  Liu, Chih-Wen  Chang, Jiang-Ren  Chang},
TITLE = {A New Shooting Method for Solving Boundary Layer Equations in Fluid Mechanics},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {32},
YEAR = {2008},
NUMBER = {1},
PAGES = {1--16},
URL = {http://www.techscience.com/CMES/v32n1/25173},
ISSN = {1526-1506},
ABSTRACT = {In this paper, we propose a new method to tackle of two famous boundary layer equations in fluid mechanics, namely, the Falkner-Skan and the Blasius equations. We can employ this method to find unknown initial conditions. The pivotal point is based on the erection of a one-step Lie group element$\mathbf {G}(T)$ and the formation of a generalized mid-point Lie group element$\mathbf {G}(r)$. Then, by imposing$\mathbf {G}(T) = \mathbf {G}(r)$ we can seek the missing initial conditions through a minimum discrepancy from the target in terms of a weighting factor$r \in (0, 1)$. Numerical examples are worked out to persuade that this novel approach has good efficiency and accuracy with a fast convergence speed by searching$r$ with the minimum norm to fit two targets.},
DOI = {10.3970/cmes.2008.032.001}
}