Approximate Analytical Solution of the Damped Burgers and Boussinesq-Burgers Equations

Year 2014, Volume: 11 Issue: 1, - , 01.05.2014

Alaattin Esen Orkun Taşbozan Selçuk Kutluay

Abstract

In this paper, the Homotopy Analysis Method (HAM) is applied to the damped Burgers and
Boussinesq-Burgers equations to obtain their approximate analytical solutions. The HAM solution includes
an auxiliary parameter h¯ which provides a convenient way to adjust and control the convergence region of the
solution series. An appropriate choice of the auxiliary parameter in the model problems for increasing time
is investigated.

Keywords

Homotopy analysis method, approximate analytical solution, damped Burgers equation, Boussinesq-Burgers equation

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