English

A Non-Iterative Transformation Method for an Extended Blasius Problem

Numerical Analysis 2020-12-30 v2 Numerical Analysis

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.

Cite

@article{arxiv.2003.06264,
  title  = {A Non-Iterative Transformation Method for an Extended Blasius Problem},
  author = {Riccardo Fazio},
  journal= {arXiv preprint arXiv:2003.06264},
  year   = {2020}
}

Comments

12 pages,1 figure, 2 tables. arXiv admin note: substantial text overlap with arXiv:1501.06015

R2 v1 2026-06-23T14:13:55.487Z