Solving directly third-order ODEs using operational matrices of Bernstein polynomials method with applications to fluid flow equations

Sana'a Nazmi Khataybeh, Ishak Hashim, Mohammed Alshbool

Research output: Contribution to journalArticle

Abstract

In this paper, we adapt for the first time the operational matrices of Bernstein polynomials method for solving directly a class of third-order ordinary differential equations (ODEs). This method gives a numerical solution by converting the equation into a system of algebraic equations which is solved directly. Applications of the present method to the famous Blasius equation describing a boundary layer flow over a flat plate and third-order ODE for thin film flow are presented. Some numerical examples are also given to show the applicability of the method.

Original languageEnglish
JournalJournal of King Saud University - Science
DOIs
Publication statusAccepted/In press - 1 Jan 2018

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Operational Matrix
Polynomial Methods
Bernstein Polynomials
Third Order Differential Equation
Fluid Flow
Ordinary differential equation
Blasius Equation
Thin Film Flow
Boundary Layer Flow
Flat Plate
Algebraic Equation
Numerical Solution
Numerical Examples

Keywords

  • Approximation
  • Bernstein polynomials
  • Fluid flow
  • ODEs

ASJC Scopus subject areas

  • General

Cite this

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