Advanced search
Publication Cover
Arab Journal of Basic and Applied Sciences Volume 26, 2019 - Issue 1
Submit an article Journal homepage
1,674
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Septic B-spline collocation method for numerical solution of the coupled Burgers’ equations

Muhannad A. ShallalMathematics Department, College of Science, University of Kirkuk, Kirkuk, Iraq; Correspondence[email protected]
,
Khalid K. AliMathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, EgyptORCID Iconhttp://orcid.org/0000-0002-7801-2760
ORCID Icon,
K. R. RaslanMathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt
&
Abbas H. TaqiMathematics Department, College of Science, University of Kirkuk, Kirkuk, Iraq;
Pages 331-341 | Received 10 Jun 2018, Accepted 22 May 2019, Published online: 27 Jun 2019

Citations (12)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

Saumya Ranjan Jena & Archana Senapati. (2023) On numerical soliton and convergence analysis of Benjamin-Bona-Mahony-Burger equation via octic B-spline collocation. Arab Journal of Basic and Applied Sciences 30:1, pages 146-163.
Read now

Articles from other publishers (11)

Tayyaba Akram, Azhar Iqbal, Poom Kumam & Thana Sutthibutpong. (2024) Investigation of the fractional coupled-Burgers model with the exponential kernel. Ain Shams Engineering Journal 15:3, pages 102450.
Crossref
D. A. Hammad, Mourad S. Semary & Ahmed G. Khattab. (2023) Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations. Fixed Point Theory and Algorithms for Sciences and Engineering 2023:1.
Crossref
Bewar A. Mahmood, Karwan H. F. Jwamer & Shko A. Tahir. (2023) A new hybrid technique based on nonpolynomial splines and finite differences for solving the Kuramoto–Sivashinsky equation. AIP Advances 13:6.
Crossref
Yusuf Uçar, Nuri Murat Yağmurlu & Mehmet Kerem Yiğit. (2022) Numerical solution of the coupled Burgers equation by trigonometric B‐spline collocation method. Mathematical Methods in the Applied Sciences 46:5, pages 6025-6041.
Crossref
M. J. Huntul, Muhammad Abbas & Muhammad Kashif Iqbal. (2022) An inverse problem for investigating the time-dependent coefficient in a higher-order equation. Computational and Applied Mathematics 41:3.
Crossref
Jianguo Ren, Jalil Manafian, Muhannad A. Shallal, Hawraz N. Jabbar & Sizar A. Mohammed. (2022) Quintic B-spline collocation method for the numerical solution of the Bona–Smith family of Boussinesq equation type. International Journal of Nonlinear Sciences and Numerical Simulation 23:1, pages 135-148.
Crossref
Adel R. Hadhoud, H. M. Srivastava & Abdulqawi A. M. Rageh. (2021) Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers’ equations numerically. Advances in Difference Equations 2021:1.
Crossref
K. R. Raslan, Khalid K. Ali, Mohamed S. Mohamed & Adel R. Hadhoud. (2021) A new structure to n-dimensional trigonometric cubic B-spline functions for solving n-dimensional partial differential equations. Advances in Difference Equations 2021:1.
Crossref
Özlem Ersoy Hepson. (2020) A quartic trigonometric tension b-spline algorithm for nonlinear partial differential equation system. Engineering Computations 38:5, pages 2293-2311.
Crossref
Tahir Nazir, Muhammad Abbas & Muhammad Kashif Iqbal. (2020) New cubic B-spline approximation technique for numerical solutions of coupled viscous Burgers equations. Engineering Computations 38:1, pages 83-106.
Crossref
Mostafa M.A. Khater, Raghda A.M. Attia, Abdel-Haleem Abdel-Aty, Sayed Abdel-Khalek, Yas Al-Hadeethi & Dianchen Lu. (2020) On the computational and numerical solutions of the transmission of nerve impulses of an excitable system (the neuron system). Journal of Intelligent & Fuzzy Systems 38:3, pages 2603-2610.
Crossref

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.