Residual power series technique for simulating fractional bagley'torvik problems emerging in applied physics

Saleh Alshammari, Mohammed Al-Smadi, Ishak Hashim, Mohd Almie Alias

Research output: Contribution to journalArticle

Abstract

Numerical simulation of physical issues is often performed by nonlinear modeling, which typically involves solving a set of concurrent fractional differential equations through effective approximate methods. In this paper, an analytic-numeric simulation technique, called residual power series (RPS), is proposed in obtaining the numerical solution a class of fractional Bagley'Torvik problems (FBTP) arising in a Newtonian fluid. This approach optimizes the solutions by minimizing the residual error functions that can be directly applied to generate fractional PS with a rapidly convergent rate. The RPS description is presented in detail to approximate the solution of FBTPs by highlighting all the steps necessary to implement the algorithm in addressing some test problems. The results indicate that the RPS algorithm is reliable and suitable in solving a wide range of fractional differential equations applying in physics and engineering.

Original languageEnglish
Article number5029
JournalApplied Sciences (Switzerland)
Volume9
Issue number23
DOIs
Publication statusPublished - 1 Dec 2019

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power series
emerging
Differential equations
Physics
physics
differential equations
error functions
Newtonian fluids
Fluids
Computer simulation
simulation
engineering

Keywords

  • Caputo fractional derivative
  • Fractional Bagley'Torvik model
  • Newtonian fluid
  • Numerical simulation
  • Residual power series algorithm

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Engineering(all)
  • Process Chemistry and Technology
  • Computer Science Applications
  • Fluid Flow and Transfer Processes

Cite this

Residual power series technique for simulating fractional bagley'torvik problems emerging in applied physics. / Alshammari, Saleh; Al-Smadi, Mohammed; Hashim, Ishak; Alias, Mohd Almie.

In: Applied Sciences (Switzerland), Vol. 9, No. 23, 5029, 01.12.2019.

Research output: Contribution to journalArticle

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