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Yağmurlu, Nuri, Karakaş, Ali. (1401). A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization. سامانه مدیریت نشریات علمی, 10(4), 1046-1058. doi: 10.22034/cmde.2021.47358.1981
Nuri Murat Yağmurlu; Ali Sercan Karakaş. "A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization". سامانه مدیریت نشریات علمی, 10, 4, 1401, 1046-1058. doi: 10.22034/cmde.2021.47358.1981
Yağmurlu, Nuri, Karakaş, Ali. (1401). 'A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization', سامانه مدیریت نشریات علمی, 10(4), pp. 1046-1058. doi: 10.22034/cmde.2021.47358.1981
Yağmurlu, Nuri, Karakaş, Ali. A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization. سامانه مدیریت نشریات علمی, 1401; 10(4): 1046-1058. doi: 10.22034/cmde.2021.47358.1981

A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization

Computational Methods for Differential Equations
مقاله 14، دوره 10، شماره 4، دی 2022، صفحه 1046-1058    اصل مقاله (479.69 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.47358.1981
نویسندگان
Nuri Murat Yağmurlu* ؛ Ali Sercan Karakaş
Inönü University, Department of Mathematics, Malatya, 44280, Turkey.
چکیده
In the present study, the Modified Equal Width (MEW) wave equation is going to be solved numerically by presenting a new technique based on the collocation finite element method in which trigonometric cubic B-splines are used as approximate functions. In order to support the present study, three test problems; namely, the motion of a single solitary wave, the interaction of two solitary waves, and the birth of solitons are studied. The newly obtained results are compared with some of the other published numerical solutions available in the literature. The accuracy of the proposed method is discussed by computing the numerical conserved laws as well as the error norms L2 and L∞. 
کلیدواژه‌ها
Finite element method؛ Collocation method؛ Solitary waves؛ Modified equal width equation؛ Trigonometric B-splines
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