The Lie-Group Shooting Method for Solving Classical Blasius Flat-Plate Problem

In thispaper, weproposeaLie-group shooting method to deal with the classical Bla- sius flat-plateproblem and to find unknowninitial conditions. The pivotal pointis based on the erec- tionofa one-stepLiegroupelement G(T) andthe formation of a generalized mid-point Lie group element G(r). Then, by imposing G(T )= G(r) wecan derivesomealgebraicequationsto 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 search- ing a suitable r ∈ (0, 1) with the minimum norm to fit the targets.

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