IJPAM: Volume 84, No. 4 (2013)
HIGHER ORDER NONLINEAR SINGULAR
BOUNDARY VALUE PROBLEMS
1,2Fluid Dynamics Division
School of Advanced Sciences
V.I.T. University, Vellore, 632 014, Tamil Nadu, INDIA
Abstract. In this paper, we present a novel approach for solving higher order nonlinear singular boundary value problems (SBVP). The original differential equation is modified at the singular point then the boundary value problem is treated by differential transform method(DTM).The proposed method is a promising tool for solving a class of higher order nonlinear singular boundary value problems and is capable of reducing the computational size. Numerical examples are included to demonstrate the validity and applicability of the technique and a comparison is made with the existing results.
Received: August 28, 2012
AMS Subject Classification: 65L10, 34B16
Key Words and Phrases: singular nonlinear boundary value problems, differential transform method, differential equations, series solutions
Download paper from here.
DOI: 10.12732/ijpam.v84i4.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395