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International Journal of Computer Mathematics Volume 81, 2004 - Issue 1
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Original Articles

A computational method for the equal width equation

K. R. RaslanCorrespondence[email protected]
Pages 63-72 | Accepted 21 Mar 2003, Published online: 08 Jun 2010

Citations (19)

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Read on this site (2)

A. Esen & S. Kutluay. (2006) A linearized implicit finite-difference method for solving the equal width wave equation. International Journal of Computer Mathematics 83:3, pages 319-330.
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D. J. Evans & K. R. Raslan. (2005) Solitary waves for the generalized equal width (GEW) equation. International Journal of Computer Mathematics 82:4, pages 445-455.
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Articles from other publishers (17)

Ahmed Hussein Msmali, Mohammad Tamsir, Neeraj Dhiman & Mohammed A. Aiyashi. (2021) New trigonometric B-spline approximation for numerical investigation of the regularized long-wave equation. Open Physics 19:1, pages 758-769.
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M.N. Rasoulizadeh, M.J. Ebadi, Z. Avazzadeh & O. Nikan. (2021) An efficient local meshless method for the equal width equation in fluid mechanics. Engineering Analysis with Boundary Elements 131, pages 258-268.
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Ömer Oruç, Alaattin Esen & Fatih Bulut. (2021) Highly accurate numerical scheme based on polynomial scaling functions for equal width equation. Wave Motion 105, pages 102760.
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Ali Ebrahimijahan, Mehdi Dehghan & Mostafa Abbaszadeh. (2021) Numerical simulation of shallow water waves based on generalized equal width (GEW) equation by compact local integrated radial basis function method combined with adaptive residual subsampling technique. Nonlinear Dynamics 105:4, pages 3359-3391.
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Nuri Murat Yağmurlu & Ali Sercan Karakaş. (2020) Numerical solutions of the equal width equation by trigonometric cubic B‐spline collocation method based on Rubin–Graves type linearization . Numerical Methods for Partial Differential Equations 36:5, pages 1170-1183.
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Bilge Inan & Ahmet Refik Bahadir. (2019) A Fully Implicit Finite Difference Approach for Numerical Solution of the Generalized Equal Width (GEW) Equation. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 90:2, pages 299-308.
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Abdul Ghafoor & Sirajul Haq. (2018) An efficient numerical scheme for the study of equal width equation. Results in Physics 9, pages 1411-1416.
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Ayşe Gül Kaplan & Yılmaz Dereli. (2017) Numerical solutions of the GEW equation using MLS collocation method. International Journal of Modern Physics C 28:01, pages 1750011.
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Marjan Uddin, H. U. Jan, Amjad Ali & I. A. Shah. (2016) Soliton Kernels for Solving PDEs. International Journal of Computational Methods 13:02, pages 1640009.
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Edson Pindza & Eben Maré. (2014) Solving the Generalized Regularized Long Wave Equation Using a Distributed Approximating Functional Method. International Journal of Computational Mathematics 2014, pages 1-12.
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Marjan Uddin. (2013) RBF-PS scheme for solving the equal width equation. Applied Mathematics and Computation 222, pages 619-631.
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Yılmaz Dereli & Robert Schaback. (2013) The meshless kernel-based method of lines for solving the equal width equation. Applied Mathematics and Computation 219:10, pages 5224-5232.
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Thoudam Roshan. (2011) A Petrov–Galerkin method for solving the generalized equal width (GEW) equation. Journal of Computational and Applied Mathematics 235:6, pages 1641-1652.
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A. Esen & S. Kutluay. (2008) Solitary wave solutions of the modified equal width wave equation. Communications in Nonlinear Science and Numerical Simulation 13:8, pages 1538-1546.
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A.H.A. Ali, A.A. Soliman & K.R. Raslan. (2007) Soliton solution for nonlinear partial differential equations by cosine-function method. Physics Letters A 368:3-4, pages 299-304.
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A. Esen. (2005) A numerical solution of the equal width wave equation by a lumped Galerkin method. Applied Mathematics and Computation 168:1, pages 270-282.
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K.R. Raslan. (2005) A computational method for the regularized long wave (RLW) equation. Applied Mathematics and Computation 167:2, pages 1101-1118.
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