Combining B-spline least-square schemes with different weight functions to solve the generalized regularized long wave equation

	Combining B-spline least-square schemes with different weight functions to solve the generalized regularized long wave equation
International Journal of Nonlinear Analysis and Applications
مقاله 13، دوره 13، شماره 1، خرداد 2022، صفحه 159-177 اصل مقاله (444.27 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5468
نویسنده
Hameeda O. Al-Humedi^*
Department Mathematics, Education College for pure Sciences, Basrah University, Basrah, Iraq
چکیده
For solving differential equations, a variety of numerical methods are available, accuracy, performance, and application are all different. In this article, we proposed new numerical techniques for solving the generalized regularized long wave equation(GRLWE) that are based on types M and M-1 of B-splines-least-square method (BSLSM) and weight function of B-splines respectively, which were proposed previously for solving integro-differential equations [2] where $M\in {N}$. We investigated linear stability using a Fourier method.
کلیدواژه‌ها
B-Spline method؛ Petrov-Galerkin method؛ Least-Square method؛ Fourier method؛ generalized regularized long wave equation
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