4ba28d05-c288-4336-9390-1c2fb08b340720210407081744147naunmdt@crossref.orgMDT DepositInternational Journal of Mechanics1998-444810.46300/9104http://www.naun.org/cms.action?id=2828128202112820211510.46300/9104.2021.15https://www.naun.org/cms.action?id=23280Numerical approximation of coupled 1D and 2D non-linear Burgers’ equations by employing Modified Quartic Hyperbolic B-spline Differential Quadrature MethodMamtaKapoorDepartment of Mathematics, Lovely Professional University, Punjab, IndiaVarunJoshiDepartment of Mathematics, Lovely Professional University, Punjab, IndiaIn this paper, the numerical solution of coupled 1D and coupled 2D Burgers' equation is provided with the appropriate initial and boundary conditions, by implementing "modified quartic Hyperbolic B-spline DQM". In present method, the required weighting coefficients are computed using modified quartic Hyperbolic B-spline as a basis function. These coupled 1D and coupled 2D Burgers' equations got transformed into the set of ordinary differential equations, tackled by SSPRK43 scheme. Efficiency of the scheme and exactness of the obtained numerical solutions is declared with the aid of 8 numerical examples. Numerical results obtained by modified quartic Hyperbolic B-spline are efficient and it is easy to implement4720214720213755https://www.naun.org/main/NAUN/mechanics/2021/a102003-005(2021).pdf10.46300/9104.2021.15.5https://www.naun.org/main/NAUN/mechanics/2021/a102003-005(2021).pdf10.1103/physreve.52.3711S. E. Esipov, “Coupled Burgers’ equations: a model of poly dispersive sedimentation”, Physical Review E, vol. 52, no. 4, p. 3711, 1995. 10.1155/s0161171201010249D. Kaya, “An explicit solution of coupled viscous Burgers’ equation by the decomposition method”, International Journal of Mathematics and Mathematical Sciences, vol. 27, 2001. 10.1016/j.physa.2005.07.008A. 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