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A pseudospectral method for the one-dimensional fractional Laplacian on R 

Cayama, J.; Cuesta, C.M.; De la Hoz, F. (2021-01-15)
In this paper, we propose a novel pseudospectral method to approximate accurately and efficiently the fractional Laplacian without using truncation. More precisely, given a bounded regular function defined over R, we map ...
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Numerical approximation of the fractional Laplacian on R using orthogonal families 

Cayama, J.; Cuesta, C.M.; De la Hoz, F. (2020-12-01)
In this paper, using well-known complex variable techniques, we compute explicitly, in terms of the F12 Gaussian hypergeometric function, the one-dimensional fractional Laplacian of the complex Higgins functions, the complex ...

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Author
Cayama, J. (2)
Cuesta, C.M. (2)
De la Hoz, F. (2)
SubjectFractional Laplacian (2)
Pseudospectral methods (2)
Accelerating fronts (1)Arbitrary-precision arithmetic (1)Condition numbers (1)Differentiation matrices (1)Fractional nonlinear Schrödinger equation (1)Nonlocal Fisher's equation (1)Rational Chebyshev functions (1)... másFecha2021 (1)2020 (1)

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