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Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation

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dc.contributor.author Başhan, A.
dc.contributor.author Yağmurlu, N.M.
dc.contributor.author Uçar, Y.
dc.contributor.author Esen, A.
dc.date.accessioned 2022-10-06T12:50:47Z
dc.date.available 2022-10-06T12:50:47Z
dc.date.issued 2021
dc.identifier.issn 0749159X (ISSN)
dc.identifier.uri http://hdl.handle.net/11616/71929
dc.description.abstract The aim of this study is to improve the numerical solution of the modified equal width wave equation. For this purpose, finite difference method combined with differential quadrature method with Rubin and Graves linearizing technique has been used. Modified cubic B-spline base functions are used as base function. By the combination of two numerical methods and effective linearizing technique high accurate numerical algorithm is obtained. Three main test problems are solved for various values of the coefficients. To observe the performance of the present method, the error norms of the single soliton problem which has analytical solution are calculated. Besides these error norms, three invariants are reported. Comparison of the results displays that our algorithm produces superior results than those given in the literature. © 2020 Wiley Periodicals LLC
dc.source Numerical Methods for Partial Differential Equations
dc.title Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation


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