Impact of Linear Operator on the Convergence of HAM Solution: A Modified Operator Approach

Impact of Linear Operator on the Convergence of HAM Solution: A Modified Operator Approach

Year:    2016

Author:    S. T. Hussain, S. Nadeem, M. Qasim

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 499–516

Abstract

The linear operator plays an important role in the computational process of Homotopy Analysis Method (HAM). In HAM frame any kind of linear operator can be chosen to develop a solution. Hence, it is easy to introduce the modified/physical parameter dependent linear operators. The effective use of these operators has been judged through solving fluid flow problems. Modification in linear operators affects the solution and improves the computational efficiency of HAM for larger values of parameters. The convergence rate of the solution is rapid and several times higher resulting in less computational time.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.m809

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 3 : pp. 499–516

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Optimal homotopy analysis method (OHAM) modified operator rapid convergence large physical parameters stretching surface.

Author Details

S. T. Hussain

S. Nadeem

M. Qasim

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