An efficient computational technique for higher order KdV equation arising in shallow water waves

Sirajul Haq, Shams Ul Arifeen, Ayesha Noreen

Type: Article

Publication Date: 2023-03-29

Citations: 9

DOI: https://doi.org/10.1016/j.apnum.2023.03.012

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Applied Numerical Mathematics - View

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+	Computational study of time-fractional non-linear Kawahara equations using Quintic B-spline and Galerkin’s method	2024	Shams Ul Arifeen Ihteram Ali Imtiaz Ahmad Sadaf Shaheen
+	Galerkin approximation for multi-term time-fractional differential equations	2024	Shams Ul Arifeen Sirajul Haq Ihteram Ali Saud Fahad Aldosary
+	Numerical solution of seventh order KdV equations via quintic B-splines collocation method	2024	Sirajul Haq Ayesha Noreen Tanveer Akbar Shams Ul Arifeen Abdul Ghafoor Zareen A. Khan
+	A study on solitary wave solutions for the Zoomeron equation supported by two-dimensional dynamics	2023	Serbay Duran Asıf Yokuş Gülsen Kılınç
+	AN APPROXIMATE SOLUTION OF MULTI-TERM FRACTIONAL TELEGRAPH EQUATION WITH QUADRATIC B-SPLINE BASIS FUNCTIONS	2024	Ebimene James Mamadu Henrietta Ify Ojarikre Daniel Chinedu Iweobodo Joseph Nwaka Onyeoghane Jude Chukwuyem Nwankwo Ebikonbo-Owei Anthony Mamadu Jonathan Tsetimi I.N. Njoseh
+	Numerical Solution of Third-Order Rosenau–Hyman and Fornberg–Whitham Equations via B-Spline Interpolation Approach	2024	Tanveer Akbar Sirajul Haq Shams Ul Arifeen Azhar Iqbal
+	Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity	2024	Hongcai Ma Xinru Qi Aiping Deng
+	A Collocation Approach for the Nonlinear Fifth-Order KdV Equations Using Certain Shifted Horadam Polynomials	2025	W. M. Abd‐Elhameed Omar Mazen Alqubori Ahmed Gamal Atta

Works Cited by This (20)

Action	Title	Year	Authors
+	New modification of Laplace decomposition method for seventh order KdV equation	2013	Bothayna S. Kashkari H. O. Bakodah
+	A numerical simulation and explicit solutions of KdV-Burgers’ and Lax’s seventh-order KdV equations	2005	A.A. Soliman
+	B-spline Galerkin methods for numerical solutions of the Burgers’ equation	2004	İdris Dağ Bülent Saka Ahmet Boz
+	New exact solutions for seventh-order Sawada-Kotera-Ito, Lax and Kaup-Kupershmidt equations using Exp-function method	2009	D.D. Ganji A. G. Davodi Y. A. Geraily
+	Splines and Variational Methods.	1991	L. B. W. P. M. Prenter
+	Structural stability of the Korteweg-de Vries solitons under a singular perturbation	1988	Yves Pomeau A. Ramani B. Grammaticos
+ PDF Chat	Numerical Solution of the Modified Equal Width Wave Equation	2012	Seydi Battal Gazi Karakoç Turabi Geyikli
+	Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines	2013	S. Kutluay Yusuf Uçar
+	Analysis and computational method based on quadratic B-spline FEM for the Rosenau-Burgers equation	2015	Guang-Ri Piao June‐Yub Lee Guo-Xian Cai
+	Numerical Solutions of Rosenau-RLW Equation Using Galerkin Cubic B-Spline Finite Element Method	2017	Nuri Murat Yağmurlu Berat Karaağaç S. Kutluay