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Solving the generalized equal width wave equation via sextic B-spline collocation technique


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Zeybek H., Karakoç S.B.G., Application of the collocation method with B-spline to the GEW equation, Electronic Transaction on Numerical Analylsis, 46, 71-88, 2017.Search in Google Scholar

Benjamin T.B., Bona J.L., Mahony J.J., Model equations for long waves in nonlinear dispersive systems, Philosophical Transactions of the Royal Society A, 272(1220), 47-78, 1972.Search in Google Scholar

Peregrine D.H., Long waves on a beach, Journal of Fluid Mechanics, 27, 815-827, 1967.Search in Google Scholar

Çelikkaya I., Operator splitting method for numerical solution of modified equal width equation, Tbilisi Mathematical Journal, 12(3), 51-67, 2019.Search in Google Scholar

Munir M., Athar M., Sarwar S., Shatanawi W., Lie symmetries of generalized equal width wave equation, AIMS Mathematics, 6(11), 12148-12165, 2021.Search in Google Scholar

Bhowmik S.K., Karakoç S.B.G., Numerical solution of generalized equal width wave equation using the Petrov-Galerkin method, Applicable Analysis, 100(4), 714-734, 2021.Search in Google Scholar

Karakoç S.B.G., Ali K.K., Analytical and computational approches on solitary wave solution of the generalized equal width wave equation, Applied Mathematics and Computational, 371, 124933, 2020.Search in Google Scholar

Evans D.J., Raslan K.R., Solitary waves for the generalized equal width GEW equation, International Journal of Computer Mathematics, 82(4), 445-455, 2005.Search in Google Scholar

Panahipour H., Numerical solution of GEW equation by using RBF collocation method, Communication in Numerical Analysis, 2012(1), 1-28(28), 2012.Search in Google Scholar

Mohammadi R., Exponential B-spline collocation method for numerical solution of the generalized regularized long wave equation, Chinese Physics B, 24(5), 050206, 2015.Search in Google Scholar

Kaplan A.G., Dereli Y., Numerical solutions of the GEW equation using MLS collocation method, International Journal of Modern Physics C, 28(01), 1750011, 2017.Search in Google Scholar

Karakoç S.B.G., Zeybek H., A cubic B-spline Galerkin approach for the numerical simulation of the GEW equation, Statistics Optimization and Information Computing, 4(1), 3041, 2016.Search in Google Scholar

Irk D., Sextic B-spline collocation method for the modified Burgers’ equation, Kybernetes, 38(9), 1599-1620, 2009.Search in Google Scholar

Mohammadi R., Sextic B-spline collocation method for solving Euler-Bernoulli Beam models, Applied Mathematics and Computation, 241, 151-166, 2014.Search in Google Scholar

Morrison P.J., Maiss J.D., Cary J.R., Scattering of Regularized-Long-Wave solitary waves, Physica D: Nonlinear Phenomena, 11(3), 324-336, 1984.Search in Google Scholar

Ebrahimijahan A., Dehghan M., Abbaszadeh M., 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, 3359-3391, 2021.Search in Google Scholar

Salih H., Yahya Z.R., Tawfiq L., Zin S.M., Numerical solution of the equation modified equal width equation by using cubic trigonometric B-spline method, International Journal of Engineering and Technology, 7(3.7), 340-344, 2018.Search in Google Scholar

Karakoç S.B.G., A numerical analysis of the GEW equation using finite element method, Journal of Science and Arts, 19(2/47), 339-348, 2019.Search in Google Scholar

Asif M., Khan I., Haider N., Al-Mdallal Q., Legendre multi-wavelets collocation method for numerical solution of linear and nonlinear integral equation, Alexandria Engineering Journal, 59(6), 5099-5109, 2020.Search in Google Scholar

Samad N., Denis S., lldar M., Aleksei Z., Control of accuracy on Taylor-collocation method for load leveling problem, The Bulletin of Irkutsk State University: Series Mathematics, 30, 59-72, 2019.Search in Google Scholar

Fariborzi M.A., Noeiaghdam S., Valid implementation of the sinc-collocation method to solve the linear integral equations by CADNA library, Journal of Mathematical Modeling, 7(1), 63-84, 2019.Search in Google Scholar

Noeiaghdam S., Araghi M.A.F., Abbasbandy S., Valid implementation of sinc-collocation method to solve the fuzzy fredholm integral equation, Journal of Computational and Applied Mathematics, 370, 112632, 2020.Search in Google Scholar

Noeiaghdam S., Sidorov D., Sizikov V., Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method, arXiv:1811.09802, 2018.Search in Google Scholar

Gasmi B., Ciancio A., Moussa A., Alhakim L., Mati Y., New analytical solutions and modulation instability analysis for the nonlinear (1+1)-dimensional Phi-four model, International Journal of Mathematics and Computer in Engineering, 1(1), 79-90, 2023.Search in Google Scholar

Mahmud A.A., Tanriverdi T., Muhamad K.A., Exact traveling wave solutions for (2+1)-dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods, International Journal of Mathematics and Computer in Engineering, 1(1), 11-24, 2023.Search in Google Scholar

DağI., Saka B., A cubic B-spline collocation method for the EW equation, Mathematical and Computational Applications, 9(3), 381-392, 2004.Search in Google Scholar

Khalifa A.K., Raslan K.R., Finite difference methods for the equal width wave equation, Journal of the Egyptian Mathematical Society, 7(2), 239-249, 1999.Search in Google Scholar

Zaki S.I., A quintic B-spline finite elements scheme for the KDV equation, Computer Methods in Applied Mechanics and Engineering, 188, 121-134, 2000.Search in Google Scholar

Esen A., Kutluay S., Solitary wave solutions of the MEW wave equation, Communication in Nonlinear Science and Numerical Simulation, 13(8), 1538-1546, 2008.Search in Google Scholar

Geyikli T., Karakoç S.B.G., Septic B-spline collocation method for the numerical solution of the MEW wave equation, Applied Mathematics, 2, 739-749, 2011.Search in Google Scholar

Saka B., A finite element method for equal width equation, Applied Mathematics and Computation, 175, 730-747, 2006.Search in Google Scholar

Prenter P., Splines and Variational Method, John-Wiley, New York, USA, 1975.Search in Google Scholar

Rubin S.G., Khosla P.K., Higher order numerical solution using cubic splines, AIAA Journal, 14(7), 851-867, 1976.Search in Google Scholar

Oruç Ö., Esen A., Bulut F., Highly accurate numerical scheme based on polynomial scaling functions for equal width equation, Wave Motion, 105, 102760, 2021.Search in Google Scholar

Başhan A., Yağmurlu N.M., Uçar Y., Esen A., A new perspective for the numerical solution of the modified equal width wave equation, Mathematical Methods in the Applied Sciences, 44(11), 8925-8939, 2021.Search in Google Scholar

Yağmurlu N.M., Karakaş A.S., 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), 1170-1183, 2020.Search in Google Scholar

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