Chahn Yong Jung, Zeqing Liu, Arif Rafiq, Faisal Ali, Shin Min Kang
Department of Business Administration
Gyeongsang National University
Jinju, 660-701, KOREA
Department of Mathematics
Liaoning Normal University
Dalian, Liaoning, 116029, P.R. CHINA
Department of Mathematics
Lahore Leads University
Lahore, 54810, PAKISTAN
Centre for Advanced Studies in Pure and Applied Mathematics
Bahauddin Zakariya University
Multan, 60800, PAKISTAN
Department of Mathematics and RINS
Gyeongsang National University
Jinju 660-701, KOREA

Abstract. Following the approach of [#!pkbd!#], in this paper, an approach using Tau method based on Legendre operational matrix of differentiation has been introduced for solving general form of second order linear and nonlinear ordinay differential equations. With the implementation of this scheme the actual problem is converted into a system of algebraic equations, whose solutions are the Legendre coefficients. Some illustrative examples are also given to demonstrate the validity and efficiency of the method.

Received: March 10, 2014

AMS Subject Classification: 65L99

Key Words and Phrases: Legendre operational matrix of differentiation

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