IJPAM: Volume 85, No. 5 (2013)
CONTINUOUS FOURTH DERIVATIVE METHOD
FOR THIRD ORDER BOUNDARY VALUE PROBLEMS
FOR THIRD ORDER BOUNDARY VALUE PROBLEMS
R.K. Sahi1, S.N. Jator2, N.A. Khan3
1,2Department of Mathematics and Statistics
Austin Peay State University
Clarksville, TN 37044, USA
3Department of Mathematics
The University of North Texas at Dallas
Dallas, TX 75044, USA
1,2Department of Mathematics and Statistics
Austin Peay State University
Clarksville, TN 37044, USA
3Department of Mathematics
The University of North Texas at Dallas
Dallas, TX 75044, USA
Abstract. A fourth derivative method (FDM) with continuous coefficients is derived and used to obtain main and additional methods which are used to solve third order boundary value problems (TOBVPs) such as the Blasius, the Falkner-Skan, and the sandwich beam problems which frequently occur in engineering. The convergence analysis of the method is discussed. Numerical experiments are performed to show speed and accuracy advantages.
Received: March 26, 2013
AMS Subject Classification: 65L05, 65L06, 65L10, 65L12
Key Words and Phrases: third order boundary value problems, fourth derivative method, sandwich problem, Falkner-Skan and Blasius equations
Download paper from here.
DOI: 10.12732/ijpam.v85i5.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 5
