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A Non-Iterative Transformation Method for an Extended Blasius Problem
  • Riccardo Fazio
Riccardo Fazio
University of Messina
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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 Richardson’s extrapolation technique. In this way, we can be confident that the computed six decimal places are correct.

Peer review status:ACCEPTED

21 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
28 Mar 2020Submission Checks Completed
28 Mar 2020Assigned to Editor
28 Mar 2020Reviewer(s) Assigned
10 Aug 2020Review(s) Completed, Editorial Evaluation Pending
11 Aug 2020Editorial Decision: Revise Major
15 Aug 20201st Revision Received
15 Aug 2020Submission Checks Completed
15 Aug 2020Assigned to Editor
23 Aug 2020Reviewer(s) Assigned
07 Sep 2020Review(s) Completed, Editorial Evaluation Pending
08 Sep 2020Editorial Decision: Accept