✦ LIBER ✦

Comparison between homotopy analysis method and optimal homotopy asymptotic method for nth-order integro-differential equation

✍ Scribed by M. Ghoreishi; A. I. B. MD. Ismail; A. K. Alomari

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 439 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1483

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents general framework for solving the nth-order integro-differential equation using homotopy analysis method (HAM) and optimal homotopy asymptotic method (OHAM). OHAM is parameter free and can provide better accuracy over the HAM at the same order of approximation. Furthermore, in OHAM the convergence region can be easily adjusted and controlled. Comparison, via two examples, between our solution using HAM and OHAM and the exact solution shows that the HAM and the OHAM are effective and accurate in solving the nth-order integro-differential equation.

📜 SIMILAR VOLUMES

A new technique of using homotopy analys

A new technique of using homotopy analysis method for solving high-order nonlinear differential equations

✍ Hany N. Hassan; Magdy A. El-Tawil 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 414 KB 👁 2 views

Comparison between variational iteration

Comparison between variational iteration method and homotopy perturbation method for linear and nonlinear partial differential equations with the nonhomogeneous initial conditions

✍ İnan Ateş; Ahmet Yıldırım 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 97 KB