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Lattice Boltzmann Simulation of Spatial Fractional Convection–Diffusion Equation [PDF]
EntropyThe space fractional advection–diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper focuses
Xiaohua Bi, Huimin Wang
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A computational approach for fractional convection-diffusion equation via integral transforms
Ain Shams Engineering Journal, 2018 In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
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Matrix-equation-based strategies for convection–diffusion equations [PDF]
BIT Numerical Mathematics, 2015 We are interested in the numerical solution of nonsymmetric linear systems arising from the discretization of convection-diffusion partial differential equations with separable coefficients and dominant convection. Preconditioners based on the matrix equation formulation of the problem are proposed, which naturally approximate the original discretized ...
PALITTA, DAVIDE, SIMONCINI, VALERIA
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A survey of numerical schemes for transportation equation [PDF]
E3S Web of Conferences, 2021 The convection-diffusion equation is a fundamental equation that exists widely. The convection-diffusion equation consists of two processes: diffusion and convection. The convection-diffusion equation can also be called drift-diffusion equaintion.
Yu Simin
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MethodsX, 2022 The present method describes the high-resolution compact discretization method for the numerical solution of the nonlinear fractal convection-diffusion model on a rectangular plate by employing the Hausdorff distance metric.
Navnit Jha, Shikha Verma
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Frontiers in Physics, 2022 In this work, a CMFS method based on the analogy equation method, the radial basis function and the method of fundamental solutions for linear and nonlinear convection-diffusion equations in anisotropic materials is presented.
L Zhang +8 more
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Tikrit Journal of Pure Science, 2023 Exact solutions of traveling wave are acquired by employ a relatively new technique which is called standard tanh method for a nonlinear diffusion–convection equation.
Seham I. Aziz +3 more
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Metastability for nonlinear convection–diffusion equations [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Folino, Raffaele +3 more
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Lagrangian for the convection–diffusion equation [PDF]
Mathematical Methods in the Applied Sciences, 2012 Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection–diffusion equation in the special case of constant coefficients. Copyright © 2012 John Wiley & Sons, Ltd.
Cresson, Jacky +2 more
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Stability Analysis of Convection & Diffusion equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 The Stability Analysis of Convection& Diffusion equation by using Fourier mode Stability analysis in two cases has been considered , the first one when the amplitude is constant and the second one when the amplitude is variable . In the first
Saad Manna, Badran Salem
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