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Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Solving the Riesz–Feller space-fractional backward diffusion problem by a generalized Tikhonov method

Figure 1

At \(t=0.6\) and 0, \(\alpha=0.5\), \(s=2\), \(\gamma=0.1\), \(\varepsilon=0.01\): Exact and regularized solutions for different θ. Point: exact solution; Star line: regularized solution with \(\theta=0\) and \(\mu=3.3433\text{e}{-}04\); Loop: \(\theta=0.01\) and \(\mu=3.3485\text{e}{-}04\); Plus: \(\theta=0.1\) and \(\mu=3.2330\text{e}{-}04\); Diamond: \(\theta=-0.01\) and \(\mu=3.3346\text{e}{-}04\); Multiplication: \(\theta=-0.1\) and \(\mu=3.0930\text{e}{-}04\)

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