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Table 8 The numerical solutions of Method I for different n values with exact solution for Example 3

From: An exponential spline approximation for fractional Bagley–Torvik equation

xn = 10n = 20n = 40Exact Solutions
0.1−0.0999839029648408−0.0991780129777646−0.09902563129364461−0.09900000000
0.2−0.1929496573590681−0.1921404327629765−0.19201920290616248−0.19200000000
0.3−0.2737783729484617−0.2731115210232273−0.27301499021665854−0.27300000000
0.4−0.3366319163396341−0.3360891417690852−0.33601185443796866−0.33600000000
0.5−0.3755082480342222−0.3750708830494593−0.37500935812857605−0.37500000000
0.6−0.3844011689404432−0.3840554682536743−0.38400728559367271−0.38400000000
0.7−0.3573069005124369−0.3570421354342761−0.35700551447130562−0.35700000000
0.8−0.2882213997500855−0.2880303912577806−0.28800396865039084−0.28800000000
0.9−0.1711547289079775−0.1710197837825782−0.17100259741188184−0.17100000000