In this note, it is shown that some obtained results in Solaymani Fard amd Ghal-Eh (2011) are not true.

in this study, a new simple technique called, ″smart collocation″ is presented. This method is an extension of the collocation method for solving strongly nonlinear boundary value ordinary differential equations. Effects of varying the iteration...

In this research, based on the concept of isogeometric analysis, an algorithm is developed for solving second order ordinary differential equations. In isogeometric analysis method, solution of differential equations are considered as imaginary...

In this paper a new technique is introduced for finding the approximate solution of a nonlinear ode. In this method, ...

In this paper, the authors proposed an approach for solving nonsmooth continuous and discontinuous ordinary differential equations which is based on a generalization of the Taylor expansion. First is considered a generalized derivative for nonsmooth...

In this paper, ongoing studies to investigate nonlinear ordinary differential equations (ODE) are extended by presenting a new concept in non-dimensionalization process. This concept is illustrated with a practical example of nonlinear ODEs, which...

Purpose of this paper is to solve a nonstandard optimal control problem governed by ordinary differential equation by finite element method. In the first part of the paper, we describe the method of discretisation of continuous optimal control...

In this paper, ongoing studies to solve nonlinear differential equations are extended by combining

the Newmark-beta integration method and the piecewise linearization approach. The discussed method is

illustrated ...

In this paper a novel method is introduced based on the use of an unsupervised version of kernel least

mean square (KLMS) algorithm for solving ordinary differential equations (ODEs). The algorithm is

unsupervised because here...