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International Journal of Engineering Mathematics
Table of Contents
International Journal of Engineering Mathematics
/
2013
/
Article
/
Tab 6
/
Research Article
Solution of Boundary Value Problems by Approaching Spline Techniques
Table 6
Comparison of present method (series 3) with B-spline method (series 2), finite difference method (series 1) and with exact solution (series 4) for Example
4
.
x
values
Finite difference method
B-Spline method
Present method
Exact solution
0.1
0.0399
0.05657
0.05730
0.0572
0.2
0.0897
0.104297
0.106357
0.1061
0.3
0.1302
0.1464167
0.146421
0.1460
0.4
0.1604
0.1763667
0.176383
0.1758
0.5
0.1787
0.193999
0.194657
0.1940
0.6
0.1827
0.1982966
0.199044
0.1983
0.7
0.1695
0.18655
0.186544
0.1858
0.8
0.1350
0.153771
0.15311
0.1524
0.9
0.0735
0.909366
0.093335
0.0928