A Numerical Algorithm for Solving Higher-Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder
Joint Authors
al-Mdallal, Q. M.
Al Khawaja, U.
Al Sakkaf, Laila Y.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present an efficient iterative power series method for nonlinear boundary-value problems that treats the typical divergence problem and increases arbitrarily the radius of convergence.
This method is based on expanding the solution around an iterative initial point.
We employ this method to study the unsteady, viscous, and incompressible laminar flow and heat transfer over a shrinking permeable cylinder.
More precisely, we solve the unsteady nonlinear Navier–Stokes and energy equations after reducing them to a system of nonlinear boundary-value problems of ordinary differential equations.
The present method successfully captures dual solutions for both the flow and heat transfer fields and a unique solution at a specific critical unsteadiness parameter.
Comparisons with previous numerical methods and an exact solution verify the validity, accuracy, and efficiency of the present method.
American Psychological Association (APA)
Al Sakkaf, Laila Y.& al-Mdallal, Q. M.& Al Khawaja, U.. 2018. A Numerical Algorithm for Solving Higher-Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder. Complexity،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1136098
Modern Language Association (MLA)
Al Sakkaf, Laila Y.…[et al.]. A Numerical Algorithm for Solving Higher-Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder. Complexity No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1136098
American Medical Association (AMA)
Al Sakkaf, Laila Y.& al-Mdallal, Q. M.& Al Khawaja, U.. A Numerical Algorithm for Solving Higher-Order Nonlinear BVPs with an Application on Fluid Flow over a Shrinking Permeable Infinite Long Cylinder. Complexity. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1136098
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136098