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AIMS Mathematics, 2021 <abstract><p>In this paper, we introduce a mixed numerical technique for solving fractional differential equations (FDEs) by combining Chebyshev collocation methods and a piecewise quadratic quadrature rule. For getting solutions at each integration step, the fractional integration is calculated in two intervals-all previous time intervals ...
Sunyoung Bu
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Mathematics, 2023 The primary goal of this work is to solve the problem of drug diffusion through a thin membrane using a differential quadrature approach with drastically different shape functions, such as Lagrange interpolation and discrete singular convolution (the ...
Abdelfattah Mustafa +2 more
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Fractal and Fractional, 2023 The aim of this study is to utilize a differential quadrature method with various kernels, such as Lagrange interpolation and discrete singular convolution, to tackle problems related to the Riesz fractional diffusion equation and the Riesz fractional ...
Abdelfattah Mustafa +4 more
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Discrete Dynamics in Nature and Society, 2023 In the present work, a numerical approach using the Crank–Nicolson scheme along with the modified cubic B-spline differential quadrature (CN-MCDQ) method is proposed to find the numerical approximations to Burgers’ equation. After applying the well-known
Geeta Arora +3 more
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Numerical solution of the viscous Burgers’ equation using Localized Differential Quadrature method
Partial Differential Equations in Applied Mathematics, 2021 In this article, we propose a numerical method to solve the viscous Burgers’ equation in one and two dimensions using the Localized Differential Quadrature (LDQ) scheme.
Athira Babu, Bin Han, Noufal Asharaf
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Variational differential quadrature: A technique to simplify numerical analysis of structures
Applied Mathematical Modelling, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Faghih Shojaei, M., Ansari, R.
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Axioms, 2022 We propose a differential quadrature method (DQM) based on cubic hyperbolic B-spline basis functions for computing 3D wave equations. This method converts the problem into a system of ODEs.
Mohammad Tamsir +2 more
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Symmetry Properties of a Generalized Korteweg-de Vires Equation and some Explicit Solutions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The symmetry group method is applied to a generalized Korteweg-de Vries equation and several classes of group invarint solution for it are obtained by means of this technique.
Bracken, Paul
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An efficient numerical scheme for fractional model of telegraph equation
Alexandria Engineering Journal, 2022 The present attempt is to design a novel approach for the numerical solution of fractional telegraph equation. The novelty of the paper exist in solving the time fractional telegraph equation with differential quadrature method based on cubic B-spline ...
M.S. Hashmi +3 more
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