Labidi, Samira; Rahmeni, Mohamed; Omrani, Khaled Numerical approach of dispersive shallow water waves with Rosenau-KdV-RLW equation in \((2+1)\)-dimensions. (English) Zbl 1517.65072 Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2157-2176 (2023). MSC: 65M06 65M12 65M15 PDF BibTeX XML Cite \textit{S. Labidi} et al., Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2157--2176 (2023; Zbl 1517.65072) Full Text: DOI
Pan, Xintian; Zhang, Luming A novel conservative numerical approximation scheme for the Rosenau-Kawahara equation. (English) Zbl 1515.65269 Demonstr. Math. 56, Article ID 20220204, 13 p. (2023). MSC: 65N06 65M06 65N12 35C08 47H10 35Q51 35Q53 PDF BibTeX XML Cite \textit{X. Pan} and \textit{L. Zhang}, Demonstr. Math. 56, Article ID 20220204, 13 p. (2023; Zbl 1515.65269) Full Text: DOI
Rouatbi, Asma; Ghiloufi, Ahlem; Omrani, Khaled An efficient tool for solving the Rosenau-Burgers equation in two dimensions. (English) Zbl 1513.65305 Comput. Appl. Math. 41, No. 5, Paper No. 210, 23 p. (2022). MSC: 65M06 65N06 65M12 65M15 76B15 35Q35 35Q53 PDF BibTeX XML Cite \textit{A. Rouatbi} et al., Comput. Appl. Math. 41, No. 5, Paper No. 210, 23 p. (2022; Zbl 1513.65305) Full Text: DOI
Gao, Yuyan; Sun, Zhengjie Multi-symplectic quasi-interpolation method for the KdV equation. (English) Zbl 1499.41003 Comput. Appl. Math. 41, No. 3, Paper No. 112, 17 p. (2022). MSC: 41A05 41A25 65D15 65N40 PDF BibTeX XML Cite \textit{Y. Gao} and \textit{Z. Sun}, Comput. Appl. Math. 41, No. 3, Paper No. 112, 17 p. (2022; Zbl 1499.41003) Full Text: DOI
Wang, Xiaofeng; Dai, Weizhong; Usman, Muhammad A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing. (English) Zbl 1459.76094 Appl. Numer. Math. 160, 102-121 (2021). MSC: 76M20 76B15 65M12 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Numer. Math. 160, 102--121 (2021; Zbl 1459.76094) Full Text: DOI
Kasumo, Christian On the approximate solutions of the Korteweg-de Vries and viscid Burgers equations. (English) Zbl 1471.65129 Int. J. Adv. Appl. Math. Mech. 8, No. 2, 64-73 (2020). MSC: 65M55 35Q53 PDF BibTeX XML Cite \textit{C. Kasumo}, Int. J. Adv. Appl. Math. Mech. 8, No. 2, 64--73 (2020; Zbl 1471.65129) Full Text: Link
Wang, Xiaofeng; Dai, Weizhong A conservative fourth-order stable finite difference scheme for the generalized Rosenau-KdV equation in both 1D and 2D. (English) Zbl 1432.65127 J. Comput. Appl. Math. 355, 310-331 (2019). MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{X. Wang} and \textit{W. Dai}, J. Comput. Appl. Math. 355, 310--331 (2019; Zbl 1432.65127) Full Text: DOI
Wang, Xiaofeng; Dai, Weizhong A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation. (English) Zbl 1413.65407 Comput. Appl. Math. 37, No. 5, 6560-6581 (2018). MSC: 65N06 65M12 35C08 35Q53 PDF BibTeX XML Cite \textit{X. Wang} and \textit{W. Dai}, Comput. Appl. Math. 37, No. 5, 6560--6581 (2018; Zbl 1413.65407) Full Text: DOI
Wang, Xiaofeng; Dai, Weizhong A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation. (English) Zbl 1376.65116 J. Comput. Appl. Math. 330, 295-306 (2018). MSC: 65M06 65M12 35L75 35Q53 PDF BibTeX XML Cite \textit{X. Wang} and \textit{W. Dai}, J. Comput. Appl. Math. 330, 295--306 (2018; Zbl 1376.65116) Full Text: DOI
Ak, Turgut; Dhawan, Sharanjeet; Karakoc, S. Battal Gazi; Bhowmik, Samir K.; Raslan, Kamal R. Numerical study of Rosenau-KdV equation using finite element method based on collocation approach. (English) Zbl 1488.35474 Math. Model. Anal. 22, No. 3, 373-388 (2017). MSC: 35Q53 76B15 76M10 65L60 41A15 PDF BibTeX XML Cite \textit{T. Ak} et al., Math. Model. Anal. 22, No. 3, 373--388 (2017; Zbl 1488.35474) Full Text: DOI
Tawfiq, Luma Naji Mohammed; Jabber, Alaa K. Solve the groundwater model equation using Fourier transforms method. (English) Zbl 1444.86003 Int. J. Adv. Appl. Math. Mech. 5, No. 1, 75-80 (2017). MSC: 86A05 35Q35 35A22 42B10 PDF BibTeX XML Cite \textit{L. N. M. Tawfiq} and \textit{A. K. Jabber}, Int. J. Adv. Appl. Math. Mech. 5, No. 1, 75--80 (2017; Zbl 1444.86003) Full Text: Link
Hassan, Ayman F.; Ismaila, Hassan N. A.; Elnaggar, Khalid M. A restrictive Padé approximation for the solution of RLW equation. (English) Zbl 1419.65021 Int. J. Adv. Appl. Math. Mech. 5, No. 1, 7-14 (2017). MSC: 65M06 35A35 35Q51 41A21 65D05 PDF BibTeX XML Cite \textit{A. F. Hassan} et al., Int. J. Adv. Appl. Math. Mech. 5, No. 1, 7--14 (2017; Zbl 1419.65021) Full Text: Link