Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...

The conditions of exact linearization are shown. When given differential algebraic systems satisfy the proper conditions of exact linearization, the original differential algebraic control systems can ...

V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan, On the Complete Integrability and Linearization of Certain Second-Order Nonlinear Ordinary Differential Equations ...

In this paper, the linearization of a nonlinear vector implicit differential equation that describes mechanical systems with application to robotics is established. In order to come to the results, a ...

Discover a hybrid method for predicting behavior of non-linear partial differential equations. Combine flexibility of differential transform with efficiency of finite differences. Compare efficiency ...

These methods generate numerical approximations for solutions to linear and nonlinear differential equations without requiring discretization or linearization and immediately and visibly display the ...

This repository contains the MATLAB codes associated with the paper: "Rigorous numerics for nonlinear heat equations in the complex plane of time" by A. Takayasu, J.-P. Lessard, J. Jaquette, and H.

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...