Iterative Methods for Solving the Fractional form of Axisymmetric Squeezing Fluid Flow between Tow Infinite Parallel Plates with Slip Boundary Conditions

Authors

A. A. Hemeda, Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptFollow
E. E. Eladdad, Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptFollow
E. A. Tarif, Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

We introduce squeezing flow between two infinite parallel plates with slip boundary conditions. By similarity transformations, the system of nonlinear partial differential equations of motion is reduced to fourth order nonlinear ordinary differential equation. The resulting boundary value fractional problem is solved and the velocity profiles are investigated through various techniques like new iterative method, Picard method and Adomain decomposition method. The comparisons of solutions for different values of the fractional order conform that the three methods are identical and are suitable for solving this kind of problems.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150504

Recommended Citation

A. Hemeda, A.; E. Eladdad, E.; and A. Tarif, E. (2021) "Iterative Methods for Solving the Fractional form of Axisymmetric Squeezing Fluid Flow between Tow Infinite Parallel Plates with Slip Boundary Conditions," Applied Mathematics & Information Sciences: Vol. 15: Iss. 5, Article 4.
DOI: http://dx.doi.org/10.18576/amis/150504
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss5/4