Solutions of Second Order-Linear Ordinary Differential Equation with Variable Coefficients by Iterative Method
Keywords:Differential equations, ordinary point, singular point, iterative method
Communication in Physical Sciences, 2021, 7(4): 513 – 519
Authors: Akeem B. Disu*, Emmanuel I. Ojonugwa, and Oyewole A Oyelami
Received: 08 November 2021/Accepted 05 December 2021
The purpose of this study was to introduce an iterative method to solve second order linear ordinary differential equations with the variable coefficient for ordinary and singular points. This method was used to solve some examples of the equations. The solutions obtained proved that the method is effective, accurate and also reduced the large volume of the computational work that is generally associated with popular power series methods
Dass H. K. (2008) Advanced engineering mathematics, 21st revised Edition, S. Chand and Company Ltd, Ram Nagar, New Delhi, pp. 618 – 632.
Disu A.B., Ishola C.Y. & Olorunnishola T. (2013). Power series solution method for Riccati equation. Journal of the Nigerian Association of Mathematical Physics. 23, Pp. 23 – 28.
Joseph M. P. & Mihir S. (2015) Mathematical methods in engineering, 1st Edition, Cambridge University Press, New York, USA.
Navarro, J. F. & Perez, A. (2009). Juan F. N. & Antonio P. (2009) Symbolic computation of the solution to an homogeneous ODE with constant coefficients. Proceedings Of The International Conference On Numerical Analysis And Applied Mathematics, 1-2, pp. 400 – 402. DOI: 10.1063/1.3241528
Navarro, J. F. & Perez, A. (2009). Juan F. N. & Antonio P. (2013) Symbolic Solution to complete ordinary differential Equation with constant coefficients. Journal of Applied Mathematics. http://dx.doi.org/10.155/2013/518194
Stroud K.A. & Dexter J. Booth. (2007). Engineering mathematics, 6th edition, Palgrave Macmillan, London, pp. 1052-1115
Stroud K.A. & Dexter J. Booth. (2011) Advanced engineering mathematics, 5th edition, Palgrave Macmillan, London, pp. 335-377.
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