CUBIC TRIGONOMETRIC B-SPLINE TECHNIQUES FOR SOLVING SECOND ORDER NONCLASSICAL DIFFUSION PROBLEMS

BIRHANU, ASNAKE

dc.contributor.author	BIRHANU, ASNAKE
dc.date.accessioned	2021-12-30T07:07:07Z
dc.date.available	2021-12-30T07:07:07Z
dc.date.issued	2021-12-29
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/12922
dc.description.abstract	In this project numerical procedures dependent on a relatively new B-spline called the cubic Trigonometric B-spline (CTBS) and the ﬁnite difference methods (FDM) for Second order non-classical diffusion problems are presented. The usual ﬁnite difference approach is used to discretize the time derivative while cubic trigonometric B-spline is applied as an interpolating function in the space dimension. Von Neumann stability analysis is used to analyze the proposed method. Three problems are discussed to exhibit the feasibility and capability of the method. The absolute errors and maximum error are computed to assess the performance of the proposed method. The results were found to be in good agreement with known solutions and with existing schemes in literature	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	CUBIC TRIGONOMETRIC B-SPLINE TECHNIQUES FOR SOLVING SECOND ORDER NONCLASSICAL DIFFUSION PROBLEMS	en_US
dc.type	Thesis	en_US