A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method

Amit K. Verma, Mukesh Kumar Rawani, Carlo Cattani

Type: Article

Publication Date: 2021-05-28

Citations: 16

DOI: https://doi.org/10.1016/j.apnum.2021.05.019

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Applied Numerical Mathematics - View

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Citing (49)

Action	Title	Year	Authors
+	Method for the Exact Solution of a Nonlinear Diffusion-Convection Equation	1982	Gerald Rosen
+	A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers’ equation	2015	Ömer Oruç Fatih Bulut Alaattin Esen
+	On two linearized difference schemes for Burgers’ equation	2014	Hong Sun Zhi‐zhong Sun
+	Numerical solutions of the modified Burgers’ equation by Petrov–Galerkin method	2011	Thoudam Roshan K. S. Bhamra
+ PDF Chat	THE COMPUTATION OF WAVELET-GALERKIN APPROXIMATION ON A BOUNDED INTERVAL	1996	Muh‐Yang Chen Chyi Hwang Ying-Ching Shih
+	A numerical study of the Burgers’ equation	2007	Bülent Saka İdris Dağ
+	Haar wavelet method for solving lumped and distributed-parameter systems	1997	C.F. Chen Chun‐Hui Hsiao
+	Large‐Time Asymptotics for Periodic Solutions of the Modified Burgers Equation	2005	P. L. Sachdev Ch. Srinivasa Rao Bengt Enflo
+	An explicit numerical scheme for the modified Burgers' equation	2009	A. G. Bratsos Leonidas A. Petrakis
+	Numerical solutions of nonlinear Burgers’ equation with modified cubic B-splines collocation method	2012	R.C. Mittal Reema Jain
+	A wavelet-based method for numerical solution of nonlinear evolution equations	2000	Valeriano Comincioli Giovanni Naldi Terenzio Scapolla
+	Numerical solution of the Burgers’ equation by automatic differentiation	2010	Asai Asaithambi
+	On solvability of some boundary value problems for a class of quasilinear parabolic equations	1999	Ar. S. Tersenov
+ PDF Chat	Nonlinear boundary value problems	1999	Νικόλαος Παπαγεωργίου Nikos Yannakakis
+	Numerical solution of evolution equations by the Haar wavelet method	2006	Ülo Lepik
+	A fourth-order numerical scheme for solving the modified Burgers equation	2010	A. G. Bratsos
+	Numerical solution of Burgers’ equation with high order splitting methods	2015	Muaz Seydaoğlu Utku Erdoğan Turgut Öziş
+	Convergence theorem for the Haar wavelet based discretization method	2015	Jüri Majak B.S. Shvartsman Maarjus Kirs M. Pohlak Henrik Herranen
+	Solving PDEs with the Aid of Two-Dimensional Haar Wavelets	2014	Ülo Lepik Helle Hein
+	Efficient accurate numerical treatment of the modified Burgers’ equation	2008	Andreas Griewank Talaat S. El‐Danaf
+	The partial differential equation u<sub>t</sub> + uu<sub>x</sub> = μ<sub>xx</sub>	1950	Eberhard Hopf
+	Numerical treatment for the modified burgers equation	2005	Mohamed A. Ramadan Talaat S. El‐Danaf
+	A Haar wavelet quasilinearization approach for numerical simulation of Burgers’ equation	2012	Ram Jiwari
+	Numerical solutions for convection–diffusion equation using El-Gendi method	2007	R.S. Temsah
+	Wavelet-Galerkin solutions of quasilinear hyperbolic conservation equations	1999	A. Avudainayagam C. Vani
+	A numerical solution of the Burgers’ equation using septic B-splines	2005	Mohamed A. Ramadan Talaat S. El‐Danaf Faisal E.I. Abd Alaal
+	Solitary wave solutions of the generalised Burgers-Huxley equation	1990	X Y Wang Zuo-min Zhu Yong Lu
+	An adaptive spectral least-squares scheme for the Burgers equation	2007	Wilhelm Heinrichs
+	Numerical solution of differential equations using Haar wavelets	2005	Ülo Lepik
+	A second‐order accurate difference scheme for the two‐dimensional Burgers' system	2008	Peipei Xu Zhi‐zhong Sun
+	Modified Burgers' equation by the local discontinuous Galerkin method	2013	Rongpei Zhang Xijun Yu Guozhong Zhao
+	An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers’ equation	2016	Mohammad Tamsir Vineet K. Srivastava Ram Jiwari
+	On a quasi-linear parabolic equation occurring in aerodynamics	1951	Julian D. Cole
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+	On the stability of Micken's type NSFD schemes for generalized Burgers Fisher equation	2019	Amit K. Verma Sheerin Kayenat
+ PDF Chat	Numerical treatment of Gray-Scott model with operator splitting method	2019	Berat Karaağaç
+	Haar wavelet approximation for the solution of cubic nonlinear Schrodinger equations	2019	Nosheen Pervaiz Imran Aziz
+	Higher order Emden–Fowler type equations via uniform Haar Wavelet resolution technique	2020	Swati Swati K. Singh Amit K. Verma Mandeep Singh