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

Civil Engineering

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