A Non-Iterative Transformation Method for an Extended Blasius Problem
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Publication:6336696
DOI10.1002/MMA.6902arXiv2003.06264MaRDI QIDQ6336696
Publication date: 11 March 2020
Abstract: In this paper we define a non-iterative transformation method for an Extended Blasius Problem. The original non-iterative transformation method, which is based on scaling invariance properties, was defined for the classical Blasius problem by T"opfer in 1912. This method allows us to solve numerically a boundary value problem by solving a related initial value problem and then rescaling the obtained numerical solution. In recent years, we have seen applications of the non-iterative transformation method to several problems of interest. The obtained numerical results, are improved by both a mesh refinement strategy and the Richardson's extrapolation technique.%, are found to be in good agreement with those available in literature.
Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)
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