FINITE DIFFERENCE SCHEME FOR SOLVING DIFFUSION EQUATION WITH NEUMANN  BOUNDARY CONDITIONS

DEJEN, HUNIE

dc.contributor.author	DEJEN, HUNIE
dc.date.accessioned	2021-10-12T08:52:25Z
dc.date.available	2021-10-12T08:52:25Z
dc.date.issued	2021-10-11
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/12712
dc.description.abstract	In this project, the derivation of the Forward Time, Centered Space (FTCS) is also called the explicit scheme and Backward Time, Centered Space (BTCS) is also called the implicit scheme for solving one-dimensional, time-dependent diffusion equation with Neumann boundary conditions are presented. The consistency, stability and convergence of these schemes are also analyzed and thus the schemes are convergent. By taking the numerical examples convergence rates of the schemes are determined using the maximum norm ( ). To implement the schemes for the numerical examples practically, a computer program (Matlab) is used. It is found that both the Explicit and implicit schemes are first – order accurate in the spatial dimension regardless of the actual order of the diffusion equation by the effect of the Neumann boundary conditions.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	FINITE DIFFERENCE SCHEME FOR SOLVING DIFFUSION EQUATION WITH NEUMANN BOUNDARY CONDITIONS	en_US
dc.type	Thesis	en_US