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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 A comparison of exact solution and approximated solution at \(T=1\) for problem-1

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

 

τ = 1.0 × 10−3,γ = 0.5,λ = 0.00001,N = 100

x

Exact solution

Approximated solution

Error

0.1

5.53577911

5.53577900

1.1363e−07

0.2

6.11798209

6.11798186

2.2948e−07

0.3

6.76141588

6.76141555

3.3011e−07

0.4

7.47252019

7.47251979

4.0100e−07

0.5

8.25841200

8.25841157

4.3141e−07

0.6

9.12695678

9.12695636

4.1533e−07

0.7

10.0868472

10.0868468

3.5263e−07

0.8

11.1476902

11.1476900

2.5034e−07

0.9

12.3201030

12.3201029

1.2413e−07

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