Articles liés à Optimal Homotopy Asymptotic Method: OHAM Verses HAM,...

Optimal Homotopy Asymptotic Method: OHAM Verses HAM, HPM - Couverture souple

Idrees, Muhammad; Haq, Sirajul

 
9783848496600: Optimal Homotopy Asymptotic Method: OHAM Verses HAM, HPM
Couverture souple
ISBN 10 : 3848496607 ISBN 13 : 9783848496600
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

The objective of this work is to use Optimal Homotopy Asymptotic Method (OHAM), a new semi-analytic approximating technique, for solving linear and nonlinear initial and boundary value problems. The semi analytic solutions of nonlinear fourth order, eighth order, special fourth order and special sixth order boundary-value problems are computed using OHAM. Successful application of OHAM for squeezing flow is a major task in this study. This work also investigates the effectiveness of OHAM formulation for Partial Differential Equations (Wave Equation and Korteweg de Vries). OHAM is independent of the free parameter and there is no need of the initial guess as there is in Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM) and Homotopy Analysis Method (HAM). OHAM works very well with large domains and provides better accuracy at lower-order of approximations. Moreover, the convergence domain can be easily adjusted. The results are compared with other methods like HPM, VIM and HAM, which reveal that OHAM is effective, simpler, easier and explicit.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The objective of this work is to use Optimal Homotopy Asymptotic Method (OHAM), a new semi-analytic approximating technique, for solving linear and nonlinear initial and boundary value problems. The semi analytic solutions of nonlinear fourth order, eighth order, special fourth order and special sixth order boundary-value problems are computed using OHAM. Successful application of OHAM for squeezing flow is a major task in this study. This work also investigates the effectiveness of OHAM formulation for Partial Differential Equations (Wave Equation and Korteweg de Vries). OHAM is independent of the free parameter and there is no need of the initial guess as there is in Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM) and Homotopy Analysis Method (HAM). OHAM works very well with large domains and provides better accuracy at lower-order of approximations. Moreover, the convergence domain can be easily adjusted. The results are compared with other methods like HPM, VIM and HAM, which reveal that OHAM is effective, simpler, easier and explicit.

Biographie de l'auteur

Dr. Muhammad Idrees Head of Department of Mathematics, City University of Science and Information Technology, Dalazak Road, Peshawar, Khyber Pakhtunkhwa, Pakistan. PhD Engineering Sciences (APPLIED MATHEMATICS) GIK INSTITUTE, TOPI, SWABI, KHYBER PAKHTUNKHAWA, PAKISTAN

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3848496607
ISBN 13 
9783848496600
Reliure
Broché
Nombre de pages
108
Coordonnées du fabricant
non disponible
Personne responsable
KreGa Onlinehandel GmbH
4950000000000
info@krega-onlinehandel.de

Birkenweg 31
Brakel
33034
Allemagne