A Three-Stage Fifth-Order Runge-Kutta Method for Directly Solving Special Third-Order Differential Equation with Application to Thin Film Flow Problem
Joint Authors
Senu, Norazak
Mechee, M.
Nikouravan, B.
Ismail, F.
Siri, Z.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper, a three-stage fifth-order Runge-Kutta method for the integration ofa special third-order ordinary differential equation (ODE) is constructed.
The zero stabilityof the method is proven.
The numerical study of a third-order ODE arisingin thin film flow of viscous fluid in physics is discussed.
The mathematical model ofthin film flow has been solved using a new method and numerical comparisons aremade when the same problem is reduced to a first-order system of equations whichare solved using the existing Runge-Kutta methods.
Numerical results have clearlyshown the advantage and the efficiency of the new method.
American Psychological Association (APA)
Mechee, M.& Senu, Norazak& Ismail, F.& Nikouravan, B.& Siri, Z.. 2013. A Three-Stage Fifth-Order Runge-Kutta Method for Directly Solving Special Third-Order Differential Equation with Application to Thin Film Flow Problem. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1032168
Modern Language Association (MLA)
Mechee, M.…[et al.]. A Three-Stage Fifth-Order Runge-Kutta Method for Directly Solving Special Third-Order Differential Equation with Application to Thin Film Flow Problem. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1032168
American Medical Association (AMA)
Mechee, M.& Senu, Norazak& Ismail, F.& Nikouravan, B.& Siri, Z.. A Three-Stage Fifth-Order Runge-Kutta Method for Directly Solving Special Third-Order Differential Equation with Application to Thin Film Flow Problem. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1032168
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032168