Results 1 to 10 of about 9,086 (147)
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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Partial Differential Equations in Applied Mathematics, 2020 A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
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G-jitter induced magnetohydrodynamics flow of nanofluid with constant convective thermal and solutal boundary conditions. [PDF]
PLoS ONE, 2015 Taking into account the effect of constant convective thermal and mass boundary conditions, we present numerical solution of the 2-D laminar g-jitter mixed convective boundary layer flow of water-based nanofluids.
Mohammed J Uddin +2 more
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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 nonlocal convection–diffusion equation
Journal of Functional Analysis, 2007 The authors study a nonlocal equation of the form \(u_t = J*u -u + G*(f(u)) - f(u)\) in \((0,\infty)\times\mathbb R^d\) subject to the initial condition \(u(x,0) = u_0(x)\), \(x \in\mathbb R^d\), with \(J\) radially symmetric and \(G\) not necessary symmetric. The nonlinearity \(f\) is assumed to be nondecreasing with \(f(0) = 0\) and locally Lipschitz
Ignat, L.I., Rossi, J.D.
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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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