Cubic Spline Interpolant for Approximating Solutions of Linear Differential Equations

Abdalla, Raja Elnour Ali

dc.contributor.author	Abdalla, Raja Elnour Ali
dc.date.accessioned	2014-04-03T12:33:25Z
dc.date.available	2014-04-03T12:33:25Z
dc.date.issued	2012-01-01
dc.identifier.citation	Abdalla,Raja Elnour Ali . Cubic Spline Interpolant for Approximating Solutions of Linear Differential Equations/Raja Elnour Ali Abdalla; Mohamed Hassan Mohamed Khabir.-Khartoum:Sudan University of Science and Technology,College of Science,2012.-60p. : ill. ; 28cm.-Ms.c.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/4234
dc.description	Thesis	en_US
dc.description.abstract	We have studied in this thesis a class of numerical methods for interpolating and solving linear differential equations. The method based on the temporal semi-discretization by implicit Euler finite difference method and a cubic spline discretization in the spatial direction on uniform mesh. We give some theorems of the existence and uniqeness of the spline functions. We also give some considerable properties for convergence. A systematic procedure for determining the formula for a natural cubic spline from a table of interpolating values are explained. We compared the exact and the approximate solutions for some examples using MATLAB.	en_US
dc.description.sponsorship	Sudan University of Science and Technology	en_US
dc.language.iso	en	en_US
dc.publisher	Sudan University of Science and Technology	en_US
dc.subject	Mathematics	en_US
dc.subject	Differential Equations	en_US
dc.title	Cubic Spline Interpolant for Approximating Solutions of Linear Differential Equations	en_US
dc.title.alternative	الاستكمال اللسينى التكعيبى لتقريب حلول المعادلات التفاضلية الخطية	en_US
dc.type	Thesis	en_US