@Article{cmc.2008.007.139,
AUTHOR = {Chih-Wen  Chang, Jiang-Ren  Chang, Chein-Shan  Liu},
TITLE = {The Lie-Group Shooting Method for Solving Classical Blasius Flat-Plate Problem},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {7},
YEAR = {2008},
NUMBER = {3},
PAGES = {139--154},
URL = {http://www.techscience.com/cmc/v7n3/23458},
ISSN = {1546-2226},
ABSTRACT = {In this paper, we propose a Lie-group shooting method to deal with the classical Blasius flat-plate problem and to find unknown initial conditions. The pivotal point is based on the erection of a one-step Lie group element$\mathbf <b>G</b>(<i>T</i>) and the formation of a generalized mid-point Lie group element$\mathbf <b>G</b>(<i>r</i>). Then, by imposing <b>G</b>(<i>T</i>) = <b>G</b>(<i>r</i>) we can derive some algebraic equations to recover the missing initial conditions. It is the first time that we can apply the Lie-group shooting method to solve the classical Blasius flat-plate problem. Numerical examples are worked out to persuade that the novel approach has better efficiency and accuracy with a fast convergence speed by searching a suitable r ∈(0, 1) with the minimum norm to fit the targets.},
DOI = {10.3970/cmc.2008.007.139}
}