The Open Mathematics Journal

2014, 7 : 1-5
Published online 2014 July 11. DOI: 10.2174/1874117701407010001
Publisher ID: TOMATJ-7-1

An Implicit Method for Numerical Solution of Second Order Singular Initial Value Problems

Mohammad Kamrul Hasan , Mohammad Suzan Ahamed , Mohammad Ashraful Huq , Mohammad Shamsul Alam and Mohammad Bellal Hossain
Department of Mathematics, Rajshahi University of Engineering and Technology, Rajshahi-6204, Bangladesh.

ABSTRACT

Recently an implicit method has been presented for solving first order singular initial value problem. The method is extended to solve second or higher order problems having a singular point. The method presents more correct result than those obtained by the implicit Euler and second order implicit Runge-Kutta (RK2) methods. The method is illustrated by suitable examples.

Keywords:

Emden-Fowler Type Equation, Implicit Runge-Kutta Method, Lane-Emden Type Equation.