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SECTION B

Haar wavelet-based numerical investigation of coupled viscous Burgers' equation

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Pages 1643-1659 | Received 07 Jan 2014, Accepted 18 Aug 2014, Published online: 25 Sep 2014

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Feifei Liu, Yulan Wang & Shuguang Li. (2018) Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations. International Journal of Computer Mathematics 95:11, pages 2162-2173.
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Narendra Kumar, Amit K. Verma & Ravi P. Agarwal. (2023) Two-Dimensional Uniform and Non-Uniform Haar Wavelet Collocation Approach for a Class of Nonlinear PDEs. Computation 11:10, pages 189.
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Vijitha Mukundan, Ashish Awasthi & V. S. Aswin. (2019) Multistep Methods for the Numerical Simulation of Two-Dimensional Burgers’ Equation. Differential Equations and Dynamical Systems 30:4, pages 909-932.
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Ali Janmohammadi, Javad Damirchi, Seyed Mahdi Mahmoudi & Ahmadreza Esfandiari. (2021) Numerical solutions of inverse time fractional coupled Burgers’ equations by the Chebyshev wavelet method. Journal of Applied Mathematics and Computing 68:5, pages 2983-3009.
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Abdul Ghafoor, Sirajul Haq, Manzoor Hussain, Thabet Abdeljawad & Manar A. Alqudah. (2022) Numerical Solutions of Variable Coefficient Higher-Order Partial Differential Equations Arising in Beam Models. Entropy 24:4, pages 567.
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Ruyi Xing, Yanqiao Li, Qing Wang, Yangyang Wu & Shu-Li Mei. (2020) Point-Symmetric Extension-Based Interval Shannon-Cosine Spectral Method for Fractional PDEs. Discrete Dynamics in Nature and Society 2020, pages 1-10.
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Prashant Pandey, Sachin Kumar & Subir Das. (2019) Approximate analytical solution of coupled fractional order reaction-advection-diffusion equations. The European Physical Journal Plus 134:7.
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Ram Jiwari, Sanjay Kumar & R.C. Mittal. (2019) Meshfree algorithms based on radial basis functions for numerical simulation and to capture shocks behavior of Burgers’ type problems. Engineering Computations 36:4, pages 1142-1168.
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Ömer Oruç, Alaattin Esen & Fatih Bulut. (2018) A haar wavelet approximation for two-dimensional time fractional reaction–subdiffusion equation. Engineering with Computers 35:1, pages 75-86.
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Mayur P Bonkile, Ashish Awasthi, C Lakshmi, Vijitha Mukundan & V S Aswin. (2018) A systematic literature review of Burgers’ equation with recent advances. Pramana 90:6.
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K. Harish Kumar & V. Antony Vijesh. (2018) Wavelet based iterative methods for a class of 2D-partial integro differential equations. Computers & Mathematics with Applications 75:1, pages 187-198.
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Ö ORUÇ, F BULUT & A ESEN. (2016) Numerical solution of the KdV equation by Haar wavelet method. Pramana 87:6.
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H.P. Bhatt & A.Q.M. Khaliq. (2016) Fourth-order compact schemes for the numerical simulation of coupled Burgers’ equation. Computer Physics Communications 200, pages 117-138.
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