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- W2091235429 abstract "Purpose – The purpose of this paper is to apply the variational iterations method to solve two difference types such as the modified Boussinesq (MB) and seven‐order Sawada‐Kotara (sSK) equations and to compare this method with that obtained previously by Adomian decomposition.Design/methodology/approach – The variational iteration method is used for finding the solution of the MB and sSK equations. The solution obtained is an infinite power series for appropriate initial condition. The numerical results obtain for nth approximation and compare with the known analytical solutions; the results show that an excellent approximation to the actual solution of the equations was achieved by using only three iterations.Findings – The comparison demonstrates that the two obtained solutions are an excellent agreement. The numerical results calculated show that this method, variational iteration method, can be readily implemented to this type of nonlinear equation and excellent accuracy can be achieved. The results o..." @default.
- W2091235429 created "2016-06-24" @default.
- W2091235429 creator A5035758311 @default.
- W2091235429 date "2011-04-19" @default.
- W2091235429 modified "2023-10-06" @default.
- W2091235429 title "A numerical simulation of modified Boussinesq and seven‐order Sawada‐Kotara equations" @default.
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- W2091235429 doi "https://doi.org/10.1108/09615531111108495" @default.
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