A Neural Network Study of Blasius Equation


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Mutuk H.

NEURAL PROCESSING LETTERS, vol.51, no.3, pp.2179-2194, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 51 Issue: 3
  • Publication Date: 2020
  • Doi Number: 10.1007/s11063-019-10184-9
  • Journal Name: NEURAL PROCESSING LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, PASCAL, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, Information Science and Technology Abstracts, INSPEC, zbMATH, DIALNET
  • Page Numbers: pp.2179-2194
  • Keywords: Boundary layer problem, Blasius equation, Artificial neural network, PERIODIC-SOLUTIONS, STABILITY, ALGORITHM, FLOW
  • Open Archive Collection: AVESIS Open Access Collection
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this work we applied a feed forward neural network to solve Blasius equation which is a third-order nonlinear differential equation. Blasius equation is a kind of boundary layer flow. We solved Blasius equation without reducing it into a system of first order equation. Numerical results are presented and a comparison according to some studies is made in the form of their results. Obtained results are found to be in good agreement with the given studies.