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International Journal of Computer Mathematics Volume 95, 2018 - Issue 4
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Original Articles

A numerical algorithm for computation modelling of 3D nonlinear wave equations based on exponential modified cubic B-spline differential quadrature method

H. S. ShuklaDepartment of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, India
,
Mohammad TamsirDepartment of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur, India
,
Ram JiwariDepartment of Mathematics, Indian Institute of Technology, Roorkee, IndiaCorrespondence[email protected]
&
Vineet K. SrivastavaFlight Dynamics Group, ISRO Telemetry Tracking and Command Network, Bangalore, India;Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines) Dhanbad, Dhanbad, India
Pages 752-766 | Received 03 Mar 2016, Accepted 02 Feb 2017, Published online: 12 Mar 2017

Citations (18)

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Read on this site (3)

Mamta Kapoor & Varun Joshi. (2023) Numerical solution of coupled 1D Burgers' equation by Non-Uniform Algebraic-Hyperbolic B-spline Differential Quadrature Method. International Journal for Computational Methods in Engineering Science and Mechanics 24:1, pages 18-39.
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Mamta Kapoor & Varun Joshi. (2022) 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 23:3, pages 263-283.
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Mamta Kapoor & Varun Joshi. (2021) A numerical regime for 1-D Burgers’ equation using UAT tension B-spline differential quadrature method. International Journal for Computational Methods in Engineering Science and Mechanics 22:3, pages 181-192.
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Articles from other publishers (15)

Ahmed H. Msmali, Mohammad Tamsir & Abdullah Ali H. Ahmadini. (2024) Unified and extended trigonometric B-spline DQM for the numerical treatment of three-dimensional wave equations. Ain Shams Engineering Journal 15:2, pages 102382.
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Mamta Kapoor & Varun Joshi. (2023) Numerical approximations of CNLS equations via UAH tension B-spline DQM . Nonlinear Engineering 12:1.
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Mamta Kapoor. (2023) A comparative study for the numerical approximation of 1D and 2D hyperbolic telegraph equations with UAT and UAH tension B-spline DQM. Nonlinear Engineering 12:1.
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Mohammad Tamsir, Mutum Zico Meetei & Ahmed H. Msmali. (2022) Hyperbolic B-Spline Function-Based Differential Quadrature Method for the Approximation of 3D Wave Equations. Axioms 11:11, pages 597.
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Jorge E. Macías-Díaz & Tassos Bountis. (2022) An Efficient Dissipation-Preserving Numerical Scheme to Solve a Caputo–Riesz Time-Space-Fractional Nonlinear Wave Equation. Fractal and Fractional 6:9, pages 500.
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Mamta Kapoor & Varun Joshi. (2022) An Algorithm developed by implementing Modified Cubic Hyperbolic B-Spline based Differential Quadrature Method on non-linear Burgers’ equation. Journal of Physics: Conference Series 2267:1, pages 012088.
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Mostafa Abbaszadeh, Mostafa Bayat & Mehdi Dehghan. (2021) The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation. Wave Motion 107, pages 102805.
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A.H. Msmali, Mohammad Tamsir & Abdullah Ali H. Ahmadini. (2021) Crank-Nicolson-DQM based on cubic exponential B-splines for the approximation of nonlinear Sine-Gordon equation. Ain Shams Engineering Journal 12:4, pages 4091-4097.
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Abhishek Kumar Singh, Tanupreet Kaur, Shalini Saha, Satish Kumar & Amares Chattopadhyay. (2021) Study on propagation characteristics of SH-wave in an imperfectly bonded functionally graded structure with viscoelastic stratum and fibre-reinforced substrate. Arabian Journal of Geosciences 14:14.
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Varun Joshi, Mamta Kapoor, Nitin Bhardwaj, Mehedi Masud & Jehad F. Al-Amri. (2021) Numerical Approximation of One- and Two-Dimensional Coupled Nonlinear Schrödinger Equation by Implementing Barycentric Lagrange Interpolation Polynomial DQM. Mathematical Problems in Engineering 2021, pages 1-18.
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J.C. Monge & J.L. Mantari. (2021) A quasi-exact solution for the analysis of smart multilayered simply supported shallow shell panels. Composite Structures 265, pages 113710.
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Mohammad Tamsir, Neeraj Dhiman, F.S. Gill & Robin. (2021) Approximation of 3D convection diffusion equation using DQM based on modified cubic trigonometric B-splines. Journal of Computational Methods in Sciences and Engineering 20:4, pages 1357-1366.
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Mohammad Tamsir, Neeraj Dhiman, Deependra Nigam & Anand Chauhan. (2021) Approximation of Caputo time-fractional diffusion equation using redefined cubic exponential B-spline collocation technique. AIMS Mathematics 6:4, pages 3805-3820.
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Mamta Kapoor & Varun Joshi. (2020) Solution of non-linear Fisher’s reaction-diffusion equation by using Hyperbolic B-spline based differential quadrature method. Journal of Physics: Conference Series 1531:1, pages 012064.
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Mohamed Kezzar, Nawel Boumaiza, Ismail Tabet & Nourreddine Nafir. (2019) Combined effects of ferromagnetic particles and magnetic field on mixed convection in the Falkner-Skan system using DRA. International Journal of Numerical Methods for Heat & Fluid Flow 29:2, pages 814-832.
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