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A novel approach for numerical computation of Burgers’ equation in (1 + 1) and (2 + 1) dimensions

Alexandria Engineering Journal, 2016
This paper proposes a new scheme termed as modified extended cubic B-Spline differential quadrature (mECDQ) method for time dependent partial differential equations.
Brajesh Kumar Singh, Pramod Kumar
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An algorithm based on a new DQM with modified extended cubic B-splines for numerical study of two dimensional hyperbolic telegraph equation

Alexandria Engineering Journal, 2018
In this paper, a new approach “modified extended cubic B-Spline differential quadrature (mECDQ) method” has been developed for the numerical computation of two dimensional hyperbolic telegraph equation.
Brajesh Kumar Singh, Pramod Kumar
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Numerical simulation of two dimensional sine-Gordon solitons using modified cubic B-spline differential quadrature method

AIP Advances, 2015
In this paper, a modified cubic B-spline differential quadrature method (MCB-DQM) is employed for the numerical simulation of two-space dimensional nonlinear sine-Gordon equation with appropriate initial and boundary conditions.
H. S. Shukla, Mohammad Tamsir, Vineet K. Srivastava +2 more
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Extended modified cubic B-spline algorithm for nonlinear Fisher’s reaction-diffusion equation

Alexandria Engineering Journal, 2016
In this paper, a new method “extended modified cubic B-spline differential quadrature method (EMCB-DQM)” is introduced by using extended modified cubic B-spline functions as test functions in the traditional differential quadrature method.
H.S. Shukla, Mohammad Tamsir
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A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers' equation. [PDF]