A computational approach for solving second-order nonlinear ordinary differential equations by means of Laguerre series
Abstract
In this work, a novel efficient numeric procedure for obtaining the approximate solution of a class of second-order
nonlinear ordinary differential equations is presented which play a significant part in science and engineering
branches. The technique is based on matrix equations and collocation points with truncated Laguerre series. The
acquired approximate solutions subject to initial conditions are obtained in terms of Laguerre polynomials. Also,
some examples together with error analysis techniques are acquired to demonstrate the efficacy of the present
method, and the comparisons are made with current studies.
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