TY - JOUR
T1 - Impact of Linear Operator on the Convergence of HAM Solution: A Modified Operator Approach
AU - Hussain , S. T.
AU - Nadeem , S.
AU - Qasim , M.
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 499
EP - 516
PY - 2018
DA - 2018/05
SN - 8
DO - http://doi.org/10.4208/aamm.2014.m809
UR - https://global-sci.org/intro/article_detail/aamm/12100.html
KW - Optimal homotopy analysis method (OHAM), modified operator, rapid convergence, large physical parameters, stretching surface.
AB - <p style="text-align: justify;">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.</p>