A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 7 A comparison of exact values and approximated values at different knots at time \(T=10\)

x	Exact solution	Approximated solution	Absolute error
0.1	58.7785252	58.7785251	1.2446e−07
0.2	95.1056516	95.1056514	2.0138e−07
0.3	95.1056516	95.1056514	2.0138e−07
0.4	58.7785252	58.7785251	1.2446e−07
0.5	0.00000000	−5.8308913	5.8309e−13
0.6	−58.778525	−58.778525	1.2446e−07
0.7	−95.105652	−95.105651	2.0138e−07
0.8	−95.105652	−95.105651	2.0138e−07
0.9	−58.778525	−58.778525	1.2446e−07