Convergence Rates of Finite Difference Schemes for the Diffusion Equation with Neumann Boundary Conditions

Doyo Kereyu; Genanew Gofe

dc.contributor.author	Doyo Kereyu
dc.contributor.author	Genanew Gofe
dc.date.accessioned	2020-12-09T12:49:48Z
dc.date.available	2020-12-09T12:49:48Z
dc.date.issued	2016-09
dc.identifier.uri	http://10.140.5.162//handle/123456789/2358
dc.description.abstract	In this paper, we consider the convergence rates of the Forward Time, Centered Space (FTCS) and Backward Time, Centered Space (BTCS) schemes for solving one-dimensional, time-dependent diffusion equation with Neumann boundary condition. We present the derivation of the schemes and develop a computer program to implement it. The consistency and the stability of the schemes are described. By the support of the numerical problems convergence rates of the schemes have been determined. It is found that both methods are first order accurate in the spatial dimension in 𝐿𝐿∞ - norm	en_US
dc.language.iso	en	en_US
dc.subject	Diffusion equation	en_US
dc.subject	Finite difference methods	en_US
dc.subject	Neumann boundary conditions	en_US
dc.subject	Convergence rate	en_US
dc.title	Convergence Rates of Finite Difference Schemes for the Diffusion Equation with Neumann Boundary Conditions	en_US
dc.type	Article	en_US