RELIABLE COMPUTATIONAL METHODS FOR SOLVING JEFFERY-HAMEL FLOW PROBLEM BASED ON POLYNOMIAL FUNCTION SPACES

Salih O., TÜRKYILMAZOĞLU M., Al-Jawary M.

Applied and Computational Mathematics, vol.23, no.1, pp.70-82, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.30546/1683-6154.23.1.2024.70
  • Journal Name: Applied and Computational Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.70-82
  • Keywords: Approximate Solution, Base Functions, Bernoulli Polynomials, Euler Polynomials, Jeffery-Hamel Flow, Laguerre Polynomi-als
  • Hacettepe University Affiliated: Yes

Abstract

In this paper reliable computational methods (RCMs) based on the monomial stan-dard polynomials have been executed to solve the problem of Jeffery-Hamel flow (JHF). In addition, convenient base functions, namely Bernoulli, Euler and Laguerre polynomials, have been used to enhance the reliability of the computational methods. Using such functions turns the problem into a set of solvable nonlinear algebraic system that MathematicaⓇ12 can solve. The JHF problem has been solved with the help of Improved Reliable Computational Methods (I-RCMs), and a review of the methods has been given. Also, published facts are used to make comparisons. As further evidence of the accuracy and dependability of the proposed methods, the maximum error remainder (MERn) has been calculated. The results have been provided strong evidence that the RCMs and I-RCMs are credible and accurate methods for obtaining approximate solutions to this problem.