TY  - JOUR
T1  - More Efficient Solutions for Numerical Analysis of the Nonlinear Generalized Regularized Long Wave (Grlw) Using the Operator Splitting Method
AU  - Karta, Melike
PY  - 2025
DA  - June
Y2  - 2024
DO  - 10.33401/fujma.1461430
JF  - Fundamental Journal of Mathematics and Applications
JO  - Fundam. J. Math. Appl.
PB  - Fuat USTA
WT  - DergiPark
SN  - 2645-8845
SP  - 72
EP  - 87
VL  - 8
IS  - 2
LA  - en
AB  - Through the use of two numerical techniques, the purpose of this study is to examine the approximate outcomes of the (GRLW) equation. The utilized methods are the collocation method with quintic B-spline, which is based on finite elements and yields good results for nonlinear evolution equations, and the strang splitting technique, which is simple to apply, practical, and quick. In order to provide approximate solutions for the main problem, the collocation method is combined with the Strang splitting method for this study. Three examples—the formation of the Maxwellian initial condition, the interaction of two solitary waves, and a single solitary wave—are taken into consideration in order to assess the accuracy of these algorithms. To demonstrate how closely the exact solutions close to numerical results and to contrast them with other solutions in the literature, error norms, and conservation quantities are computed. Tables and graphs are used to illustrate the solutions that have generated. Based on the results obtained and the practical, easy-to-use, and current features of the methodologies, this article stands out from the rest.
KW  - {Generalized regularized long wave
KW  - B-splines
KW  - Collocation method
KW  - Strang splitting
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UR  - https://doi.org/10.33401/fujma.1461430
L1  - https://dergipark.org.tr/en/download/article-file/3832574
ER  -