Numerical solution of Burgers’ equation with modified cubic B-spline differential quadrature method

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.08.071 ◽

2013 ◽

Vol 224 ◽

pp. 166-177 ◽

Author(s):

Geeta Arora ◽

Brajesh Kumar Singh

Keyword(s):

Numerical Solution ◽

Burgers Equation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Quadrature Method ◽

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A new technique for numerical solution of 1D and 2D non-linear coupled Burgers’ equations by using cubic Uniform Algebraic Trigonometric (UAT) tension B-spline based differential quadrature method

Ain Shams Engineering Journal ◽

10.1016/j.asej.2020.11.030 ◽

2021 ◽

Author(s):

Mamta Kapoor ◽

Varun Joshi

Keyword(s):

Numerical Solution ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

New Technique ◽

Quadrature Method ◽

B Spline ◽

Burgers Equations ◽

A New Technique

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A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers’ equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.12.035 ◽

2013 ◽

Vol 219 (12) ◽

pp. 6680-6691 ◽

Author(s):

Ram Jiwari ◽

R.C. Mittal ◽

Kapil K. Sharma

Keyword(s):

Numerical Solution ◽

Numerical Scheme ◽

Burgers Equation ◽

Differential Quadrature Method ◽

Weighted Average ◽

Differential Quadrature ◽

Quadrature Method

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Numerical solution of some nonlinear wave equations using modified cubic B-spline differential quadrature method

2014 International Conference on Advances in Computing, Communications and Informatics (ICACCI) ◽

10.1109/icacci.2014.6968549 ◽

2014 ◽

Author(s):

R. C. Mittal ◽

Rachna Bhatia

Keyword(s):

Numerical Solution ◽

Nonlinear Wave ◽

Wave Equations ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Nonlinear Wave Equations ◽

Quadrature Method ◽

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Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-01220-1 ◽

2022 ◽

Vol 8 (1) ◽

Author(s):

Anurag Kaur ◽

V. Kanwar

Keyword(s):

Numerical Solution ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Quadrature Method ◽

Block Method ◽

B Spline ◽

One Step ◽

Sivashinsky Equation

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Numerical solution of nonlinear sine–Gordon equation by using the modified cubic B-spline differential quadrature method

Beni-Suef University Journal of Basic and Applied Sciences ◽

10.1016/j.bjbas.2016.12.001 ◽

2018 ◽

Vol 7 (4) ◽

pp. 359-366 ◽

Author(s):

H.S. Shukla ◽

Mohammad Tamsir

Keyword(s):

Numerical Solution ◽

Gordon Equation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Quadrature Method ◽

Sine Gordon Equation ◽

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Polynomial based differential quadrature method for numerical solution of nonlinear Burgers' equation

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2011.09.008 ◽

2011 ◽

Vol 348 (10) ◽

pp. 2863-2875 ◽

Author(s):

Alper Korkmaz ◽

İdris Dagˇ

Keyword(s):

Numerical Solution ◽

Burgers Equation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Quadrature Method

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Comparison of Numerical Solution of 1D Hyperbolic Telegraph Equation using B-Spline and Trigonometric B-Spline by Differential Quadrature Method

Indian Journal of Science and Technology ◽

10.17485/ijst/2016/v9i45/106356 ◽

2016 ◽

Vol 9 (45) ◽

Author(s):

Geeta Arora ◽

Varun Joshi

Keyword(s):

Numerical Solution ◽

Differential Quadrature Method ◽

Telegraph Equation ◽

Differential Quadrature ◽

Quadrature Method ◽

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Numerical solution of coupled 1D Burgers’ equation by employing Barycentric Lagrange interpolation basis function based differential quadrature method

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2021.1954726 ◽

2021 ◽

pp. 1-21

Author(s):

Mamta Kapoor ◽

Varun Joshi

Keyword(s):

Numerical Solution ◽

Basis Function ◽

Lagrange Interpolation ◽

Burgers Equation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Quadrature Method

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Numerical solution of the viscous Burgers’ equation using Localized Differential Quadrature method

Partial Differential Equations in Applied Mathematics ◽

10.1016/j.padiff.2021.100044 ◽

2021 ◽

pp. 100044

Author(s):

Athira Babu ◽

Bin Han ◽

Noufal Asharaf

Keyword(s):

Numerical Solution ◽

Burgers Equation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Quadrature Method

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Numerical solution of two dimensional coupled viscous Burger equation using modified cubic B-spline differential quadrature method

AIP Advances ◽

10.1063/1.4902507 ◽

2014 ◽

Vol 4 (11) ◽

pp. 117134 ◽

Author(s):

H. S. Shukla ◽

Mohammad Tamsir ◽

Vineet K. Srivastava ◽

Jai Kumar

Keyword(s):

Numerical Solution ◽

Burger Equation ◽

Differential Quadrature Method ◽

Differential Quadrature ◽

Two Dimensional ◽

Quadrature Method ◽

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