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Cubic Spline Interpolant for Approximating Solutions of Linear Differential Equations

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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


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