Application of Numerical Iterative Methods for Solving Benjamin-Bona-Mahony Equation

Journal of Computer & Robotics

مقاله 3، دوره 12، شماره 2، اسفند 2019، صفحه 27-37   

نوع مقاله: Original Research (Full Papers)

نویسنده

Shadan Sadigh behzadi^*

Department of Mathematics Islamic Azad University Qazvin Branch, Qazvin, Iran

چکیده

In this paper, a generalized Benjamin-Bona-Mahony equation ( BBM)
is solved by using the Adomian's decomposition method (ADM) ,
modified Adomian's decomposition method (MADM), variational
iteration method (VIM), modified variational iteration method (MVIM)
and homotopy analysis method (HAM). The approximate solution of this
equation is calculated in the form of series which its components
are computed by applying a recursive relation. The existence and
uniqueness of the solution and the convergence of the proposed
methods are proved. A numerical example is studied to demonstrate
the accuracy of the presented methods.The MVIM has been shown to solve effectively, easily and accurately
a large class of nonlinear problems with the approximations which
convergent are rapidly to exact solutions.

کلیدواژه‌ها

Generalized Benjamin-Bona-Mahony equation؛ Adomian decomposition method؛ Modified Adomian decomposition method؛ Variational iteration method؛ Modified variational iteration method؛ Homotopy analysis method

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