𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An improvement to homotopy perturbation method for solving system of linear equations

✍ Scribed by Elçin Yusufoğlu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
344 KB
Volume
58
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

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 linear equations; the results are compared with those obtained by the original homotopy perturbation method. Two examples are given to illustrate the ability and reliability of the modified method. The results reveal that the modified method is very simple and effective.

📜 SIMILAR VOLUMES

Comparison between the homotopy perturba
Comparison between the homotopy perturbation method and the sine–cosine wavelet method for solving linear integro-differential equations
✍ M. Tavassoli Kajani; M. Ghasemi; E. Babolian 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 191 KB

This paper compares the homotopy perturbation method with the sine-cosine wavelet method for solving linear integrodifferential equations. From the computational viewpoint, the homotopy perturbation method is more efficient and easier than the sine-cosine wavelet method.

He’s homotopy perturbation method: An ef
He’s homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations
✍ Jafar Saberi-Nadjafi; Asghar Ghorbani 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 579 KB

In this paper, we conduct a comparative study among He's homotopy perturbation method and three traditional methods for an analytic and approximate treatment of nonlinear integral and integro-differential equations. The proper implementation of He's homotopy perturbation method can extremely minimiz

An effective modification of the homotop
An effective modification of the homotopy perturbation method for stiff systems of ordinary differential equations
✍ Hossein Aminikhah; Milad Hemmatnezhad 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 237 KB

The present work deals with employing a new form of the homotopy perturbation method (NHPM) for solving stiff systems of linear and nonlinear ordinary differential equations (ODEs). In this scheme, the solution is considered as an infinite series that converges rapidly to the exact solution. Two pro