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Original Article

An efficient numerical method for the modified regularized long wave equation using Fourier spectral methodFootnote

Pages 198-205 | Received 04 Feb 2016, Accepted 08 Oct 2016, Published online: 27 Mar 2018

References

  • A.AtanganaA.H.ClootStability and convergence of the space fractional variable-order Schrödinger equationAdv. Differ. Equ.2013201380
  • A.AtanganaOn the new fractional derivative and application to nonlinear Fishers reaction diffusion equationAppl. Math. Comput.2732016948956
  • T.AchouriK.OmraniApplication of the homotopy perturbation method to the modified regularized long-wave equationNumer. Methods Partial Differ. Equ.262201039941110.1002/num.20441
  • T.B.BenjaminJ.L.BonaJ.J.MahonyModel equations for long waves in nonlinear dispersive systemsPhilos. Trans. R. Soc. London A272122019724778
  • H.BorlukG.M.MusluA Fourier pseudospectral method for a generalized improved Boussinesq equationNumer. Methods Partial Differ. Equ.3120159951008
  • Y.DereliNumerical solutions of the MRLW equation using meshless kernel based method of linesInt. J. Nonlinear Sci.13120122838
  • M.M.El-BoraiH.M.El-OwaidyH.M.AhmedA.H.​ArnousSoliton solutions of the nonlinear Schrödinger equation by three integration schemesNonlinear Sci. Lett. A8120173240
  • B.FornbergG.B.WhithamA numerical and theoretical study of certain nonlinear wave phenomenaPhilos. Trans. Soc. London2891987373404
  • B.FornbergA Practical Guide to Pseudospectral Methods1996Cambridge University PressNew York
  • D.A.HammadM.S.El-AzabA 2N order compact finite difference method for solving the generalized regularized long wave (GRLW) equationAppl. Math. Comput.2532015248261
  • H.N.HassanH.K.SalehThe solution of the regularized long wave equation using the fourier leap-frog methodZ. Naturforsch.65a2010268276
  • H.N.HassanNumerical solution of a Boussinesq type equation using Fourier spectral methodsZ. Naturforsch.65a2010305314
  • H.N.HassanH.K.SalehFourier spectral methods for solving some nonlinear partial differential equationsInt. J. Open Prob. Comput. Sci. Math.622013144179
  • H.N.HassanAn accurate numerical solution for the modified equal width wave equation using the Fourier pseudo-spectral methodJ. Appl. Math. Phys.4201610541067
  • M.M.HosseiniH.GhaneaiSyed TauseefMohyud-DinMuhammadUsmanTri-prong scheme for regularized long wave equationJ. Assoc. Arab Univ. Basic Appl. Sci.2020166877
  • Y.GaoL.MeiMixed Galerkin finite element methods for modified regularized long wave equationAppl. Math. Comput.2582015267281
  • L.R.T.GardnerG.A.GardnerF.A.IrkN.K.AmeinApproximations of solitary waves of the MRLW equation by B-spline finite elementsArab. J. Sci. Eng. A2221997183193
  • D.KayaA numerical simulation of solitary-wave solutions of the generalized regularized long-wave equationAppl. Math. Comput.14932004833841
  • A.K.KhalifaK.R.RaslanH.M.AlzubaidiA finite difference scheme for the MRLW and solitary wave interactionsAppl. Math. Comput.18912007346354
  • A.K.KhalifaK.R.RaslanH.M.AlzubaidiNumerical study using ADM for the modified regularized long wave equationAppl. Math. Model.3212200829622972
  • A.K.KhalifaK.R.RaslanH.M.AlzubaidiA collocation method with cubic B-splines for solving the MRLW equationJ. Comput. Appl. Math.21222008406418
  • M.LabidiK.OmraniNumerical simulation of the modified regularized long wave equation by He’s variational iteration methodNumer. Methods Partial Differ. Equ.2722011478489
  • J.LinZ.XieJ.ZhouHigh-order compact difference scheme for the regularized long wave equationCommun. Numer. Methods Eng.2322007135156
  • Y.LiuH.LiY.DuJ.WangExplicit multistep mixed finite element method for RLW equationAbstr. Appl. Anal.2013201312 Article ID 768976
  • L.MeiY.ChenExplicit multistep method for the numerical solution of RLW equationAppl. Math. Comput.21818201295479554
  • L.MeiY.GaoZ.ChenA Galerkin finite element method for numerical solutions of the modified regularized long wave equationAbstr. Appl. Anal.2014201411 Article ID 438289
  • M.MohammadiR.MokhtariSolving the generalized regularized long wave equation on the basis of a reproducing kernel spaceJ. Comput. Appl. Math.23514201140034014
  • D.H.PeregrineCalculations of the development of an undular boreJ. Fluid Mech.2521966321330
  • K.R.RaslanS.M.HassanSolitary waves for the MRLW equationAppl. Math. Lett.2272009984989
  • K.R.RaslanT.S.EL-DanafSolitary waves solutions of the MRLW equation using quintic B-splinesJ. King Saud Univ.: Sci.2232010161166
  • T.RoshanA Petrov–Galerkin method for solving the generalized regularized long wave (GRLW) equationComput. Math. Appl.6352012943956
  • B.SakaI.DagA numerical solution of the RLW equation by Galerkin method using quartic B-splinesCommun. Numer. Methods Eng. Biomed. Appl.2411200813391361
  • M.S.SemaryH.N.HassanAn effective approach for solving MHD viscous flow due to a shrinking sheetAppl. Math. Inf. Sci.104201614251432
  • A.A.SolimanK.R.RaslanCollocation method using quadratic B-spline for the RLW equationInt. J. Comput. Math.7832001399412
  • H.ZeybekS.B.G.KarakoçA numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-splineSpringerPlus51992016117

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