Characterization of a Nonlinear Second Order ODE Reducible to a Separable Equation
Abstract
This paper aims to investigate the characteristics of a second order nonlinear ordinary differential equation in the form which is reducible to a separable equation. In this regard, partial differentiation is the main tool for the reduction process. The main result reveals that “if the second order equation above can be reduced to , where is a function of and is a function of , then ” Keywords : nonlinear ordinary differential equations, separable equationsReferences
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Al-Hwawcha, L.K. and Abid, N.A. (2008). A New Approach for Solving Second Order Ordinary Differential Equations. Journal of Mathematics and Statistics, 4, 58-59. http://dx.doi.org/10.3844/jmssp.2008.58.59
Zraiqat, A. Al-Hwawcha, L. K. (2015). On Exact Solutions of Second Order Nonlinear Ordinary
Differential Equations. Applied Mathematics, 6, 953-957.
Cheb-Terrab, E. S., Duarte, L. G. S., Mota, L.A.C.P. (1998). Computer algebra solving of second order ODEs using symmetry methods. Computer Physics Communications, 108, 90-114
Abraham-Shrauner, B. (2002). Hidden Symmetries, First Integrals and Reduction of Order of Nonlinear
Ordinary Differential Equations. Journal of Nonlinear Mathematical Physics, 9(2), 1-9
Martin del Rey, A., Muñoz Masqué, J. (2003). Reducing to first order. Journal of
Computational and Applied Mathematics, 155(2), 389-404.
Al-Hwawcha, L.K. and Abid, N.A. (2008). A New Approach for Solving Second Order Ordinary Differential Equations. Journal of Mathematics and Statistics, 4, 58-59. http://dx.doi.org/10.3844/jmssp.2008.58.59
Zraiqat, A. Al-Hwawcha, L. K. (2015). On Exact Solutions of Second Order Nonlinear Ordinary
Differential Equations. Applied Mathematics, 6, 953-957.
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Published
2017-07-26
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บทความวิจัยจากการประชุมวิชาการระดับชาติ"วิทยาศาสตร์วิจัย"ครั้งที่ 9
