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 |