Cubic Spline and Their Application

Kumar, Mahendra and P A, Lakshmi Narayana (2018) Cubic Spline and Their Application. Masters thesis, Indian Institute of Technology, Hyderabad.

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In this dissertation, we describe Cubic Splines and their applications.In particular Cubic Splines are discussed in detail with their applications in the Interpolation,Solutions of Initial Value Problems and Solutions of Boundary Value Problems.These are easy to implement on a computer. Several numerical examples have been solved to demonstrate the applicability of Cubic Splines. In the case of Boundary Value Problems, computational results are presented for constant coefficients, variable coefficients of homogeneous,non-homogeneous linear two point Boundary Value Problems. Computational results have been taken for different step sixes and these results are compared with exact solutions.It is observed from the computational results that the Cubic Spline approximate the exact solution very well.

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IITH Creators:
IITH CreatorsORCiD
P A, Lakshmi NarayanaUNSPECIFIED
Item Type: Thesis (Masters)
Uncontrolled Keywords: Interpolation, Initial Value Problem, Boundary Value Problem
Subjects: Mathematics
Depositing User: Team Library
Date Deposited: 18 Jun 2018 11:12
Last Modified: 18 Jun 2018 11:12
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