Successive approximation method for solving (1+1)-dimensional dispersive long wave equations

Abstract

In this paper, we study the (1+1)-dimensional dispersive long wave equations which describe the evolution of horizontal velocity component $u(x,t)$ of water waves of height $v(x,t)$, and solved it numerically by successive approximation method (SAM) to compare with Adomian’s decomposition method (ADM), we found that SAM is suitable for this kind of problems also its effective and more accure than ADM. Mathematica has been used for computations.

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