This article intends to achieve a new formulation of beam vibration with quintic nonlinearity, including exact expressions for the beam curvature. To attain a proper design of the beam structures, it ...

The moving boundary problem is unique because it is a special nonlinear problem whose analytic solution is difficult to obtain. A few numerical and semi analytic methods such as the Homotopy ...

Here you will find the guidelines used by Methods Hub for tutorials. If you are preparing a method, check the guidelines used by Methods Hub for methods. A tutorial is an instructional resource that ...

This repo contains tutorials for linking enhancers (ATAC peaks) to genes using single-cell RNA + ATAC multiome data. Data preprocessing and peak-gene linking scripts are included for the following ...

Abstract: This article proposes a novel version of the popular method from the ever-so-famous homotopy analysis methods, namely Quotient Homotopy Analysis Method or simply QHAM, in order to provide ...

In the present article, fractional view of third order Kortewege-De Vries equations is presented by a sophisticated analytical technique called Mohand decomposition method. The Caputo fractional ...

ABSTRACT: In this paper, we consider the homotopy perturbation method (HPM) to obtain the exact solution of Hirota-Satsuma Coupled KdV equation. The results reveal that the proposed method is very ...