Originally defined as the ratio between the circumference of a circle and its diameter, pi — written as the Greek letter π — appears throughout mathematics, including in areas that are completely ...

Abstract: The tendon–sheath mechanism is widely used in rehabilitation, surgical, and rescue robotics for its high flexibility and ability to transmit power over long distances. However, ...

Abstract: In this article, we present a continuation method, which transforms spatially distributed ordinary differential equation (ODE) systems into a continuous partial differential equation (PDE).

In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial loads. The ...

fodeint will be a collection of numerical algorithms for integrating fractional ordinary differential equations (FODEs). It has simple functions that can be used in a similar way to ...