𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An elementary introduction to the homotopy perturbation method

✍ Scribed by Ji-Huan He

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
257 KB
Volume
57
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is an elementary introduction to the concepts of the homotopy perturbation method. Particular attention is paid to giving an intuitive grasp for the solution procedure throughout the paper.

πŸ“œ SIMILAR VOLUMES

Application of homotopy-perturbation met
Application of homotopy-perturbation method to fractional IVPs
✍ O. Abdulaziz; I. Hashim; S. Momani πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 163 KB

Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVP

Application of the homotopy perturbation
Application of the homotopy perturbation method to Zakharov–Kuznetsov equations
✍ J. Biazar; F. Badpeima; F. Azimi πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 322 KB

The aim of this paper is to apply the homotopy perturbation method (HPM) to solve the Zakharov-Kuznetsov ZK(m, n, k) equations. The two special cases, ZK(2, 2, 2) and ZK(3, 3, 3), are chosen to show the ability of the method. General formulas for the solutions of ZK(m, n, k) are established. The res

An improvement to homotopy perturbation
An improvement to homotopy perturbation method for solving system of linear equations
✍ ElΓ§in Yusufoğlu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 344 KB

## Exact solution a b s t r a c t In this paper, we present an efficient numerical algorithm to find exact solutions for the system of linear equations based on homotopy perturbation method (HPM). A reliable modification is proposed, and the modified method is employed to solve the system of linea

Application of the homotopy perturbation
Application of the homotopy perturbation method to the modified regularized long-wave equation
✍ Talha Achouri; Khaled Omrani πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 873 KB

In this article, the homotopy perturbation method (HPM) is used to implement the modified regularized long-wave (MRLW) equation with some initial conditions. The method is very efficient and convenient and can be applied to a large class of problems. In the last, three invariants of the motion are e