A numerical method for diffusion-convection equation using high-order difference schemes |
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| Authors: | A Golbabai MM Arabshahi |
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| Affiliation: | Department of Applied Mathematics, Faculty of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran |
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| Abstract: | In this paper, we propose a simple general form of high-order approximation of O(c2+ch2+h4) to solve the two-dimensional parabolic equation αuxx+βuyy=F(x,y,t,u,ux,uy,ut), where α and β are positive constants. We apply the compact form for solving diffusion-convection equation. The results of numerical experiments are presented and compared with analytical solutions to confirm the higher accuracy of the presented scheme. |
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| Keywords: | Diffusion-convection equation Finite difference Fourth-order approximation Krylov subspace methods Three-diagonal solver |
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