[PDF][PDF] Homotopy analysis method for solving KdV equations
H Jafari, MA Firoozjaee - Surveys in Mathematics and its …, 2010 - emis.dsd.sztaki.hu
Surveys in Mathematics and its Applications, 2010•emis.dsd.sztaki.hu
… From these results we conclude that the method, Homotopy analysis method for KdV
equation, gives remarkable accuracy in comparison with our analytical solution (3.3). The
behavior of the solution obtained by homotopy analysis method and analytic solution are
shown for a different values of times in Figs. 1 and 2, respectively. … From these results we
conclude that the Homotopy analysis method, for KdV equation, gives remarkable accuracy
in comparison with our analytical solution (3.5). The behavior of the …
equation, gives remarkable accuracy in comparison with our analytical solution (3.3). The
behavior of the solution obtained by homotopy analysis method and analytic solution are
shown for a different values of times in Figs. 1 and 2, respectively. … From these results we
conclude that the Homotopy analysis method, for KdV equation, gives remarkable accuracy
in comparison with our analytical solution (3.5). The behavior of the …
Abstract
A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach.
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