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Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline
MATEC Web of Conferences, 2016 In this paper, numerical solutions for convection-diffusion equation via non-polynomial splines are studied. We purpose an implicit method based on non-polynomial spline functions for solving the convection-diffusion equation.
Ravi Kanth A.S.V., Deepika
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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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Interior Blowup in a Convection-Diffusion Equation [PDF]
SIAM Journal on Mathematical Analysis, 1998 The author studies the behaviour of the solutions to the heat equation with a nonlinear diffusion-convection term of the form \(\text{div }u^q(\nabla)\) in a bounded domain. In addition a nonlinear Neumann condition is imposed on the boundary. The convection term is chosen in such a way that the stationary problem admits infinitely many solutions which
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Travelling waves in a convection–diffusion equation
Journal of Differential Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feireisl, E. (Eduard) +2 more
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An inverse problem for a quasilinear convection–diffusion equation
Nonlinear Analysis, 2022 We study the inverse problem of recovering a semilinear diffusion term $a(t,λ)$ as well as a quasilinear convection term $\mathcal B(t,x,λ,ξ)$ in a nonlinear parabolic equation $$\partial_tu-\textrm{div}(a(t,u) \nabla u)+\mathcal B(t,x,u,\nabla u)\cdot\nabla u=0, \quad \mbox{in}\ (0,T)\timesΩ,$$ given the knowledge of the flux of the moving quantity ...
Ali Feizmohammadi +2 more
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Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
Ain Shams Engineering Journal, 2018 In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
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Two-dimensional convection—diffusion problem solved using method of localized particular solutions
MATEC Web of Conferences, 2017 A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term.
Mužík Juraj, Holičková Martina
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Space–Time Radial Basis Function–Based Meshless Approach for Solving Convection–Diffusion Equations
Mathematics, 2020 This article proposes a space–time meshless approach based on the transient radial polynomial series function (TRPSF) for solving convection–diffusion equations.
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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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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Higher-Order Compact Finite Difference for Certain PDEs in Arbitrary Dimensions
Journal of Function Spaces, 2020 In this paper, we first present the expression of a model of a fourth-order compact finite difference (CFD) scheme for the convection diffusion equation with variable convection coefficient.
Yan Gao, Songlin Liu
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