Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: M. Gorji and M. Alipour
Pages: [165] - [175]
Received Date: August 19, 2010
Submitted by:
In this paper, the analytic solution of regularized long wave equation
is developed via homotopy analysis method (HAM). This method is strong
and easy to use analytic tool for investigating of nonlinear problems.
Homotopy analysis method contains the auxiliary parameter 
which provides us with a simple way to
adjust and control the convergence region of solution series. Our work
reveals that homotopy analysis method is very convenient and
effective. In comparison with HAM, numerical methods leads to
inaccurate results when the equation is intensively dependent on time,
while (HAM) overcome the above shortcomings completely and therefore
can be widely applied in engineering problems. By using an initial
value system, the numerical results of regularized long wave equation
have been represented graphically.
homotopy analysis method, regularized long wave (RLW) equation, nonlinear partial differential equation, analytical solution.
