English

An Iterative Transformation Method for a Similarity Boundary Layer Model

Numerical Analysis 2020-11-20 v1 Numerical Analysis

Abstract

In this paper, within scaling invariance theory, we define and apply to the numerical solution of a similarity boundary layer model an iterative transformation method. The boundary value problem to be solved depends on a parameter and is defined on a semi-infinite interval. Using our transformation method we are able to solve the problem in point for a large range of the parameter involved. As far as the accuracy of our numerical method is concerned, for two specific values of the involved parameter, we are able to compare favorably the obtained numerical result for the so-called missing initial condition to the exact solution reported by Crane [Z. Angew. Math. Phys., 21:645-647, 1970].

Keywords

Cite

@article{arxiv.2011.09661,
  title  = {An Iterative Transformation Method for a Similarity Boundary Layer Model},
  author = {Riccardo Fazio},
  journal= {arXiv preprint arXiv:2011.09661},
  year   = {2020}
}

Comments

12 pages, 1 figure and 1 table. arXiv admin note: substantial text overlap with arXiv:2011.07724, arXiv:2011.09122

R2 v1 2026-06-23T20:21:46.257Z