Abstract
Successive approximation method for solving (1+1)-dimensional dispersive long wave equations
Highlights
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 its effective and more accure than ADM
Play important roles in nonlinear physics, which describe the evolution of horizontal velocity component u(x, t) of water waves of height v(x, t) propagating in both directions in an infinite narrow channel of finite constant depth
1 2 (u2)x vtx +xx + uyy = 0, which was obtained in the appropriate approximation from the basic equations of hydrodynamics
Summary
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 its effective and more accure than ADM. *The celebrated (1+1)-dimensional dispersive long wave equations (Ablowitz and Clarkson, 1991; Broer, 1975) Boiti et al (1987) presented the following (2+1)-dimensional extension related to (1)
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