The Sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients

By Abbas Saadatmandi, Mehdi Dehghan, Mohammad-Reza Azizi. 2012

227 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f89206b32416d9d1373994e5ea804dc7ff102d6b

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients (2016, methodology): “Sci. 2016, 39 1765–1779 1 7 7 5 VIM, Variational iteration method; ADM, Adomian decomposition method; S-LCM, Sinc–Legendre spectral collocation method.”
Gegenbauer spectral method for time‐fractional convection–diffusion equations with variable coefficients (2015, methodology): “9, M D 2 and N D 12 has been compared with Sinc–Legendre method [30] and VIM [50].”
Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets (2014, background): “…et al. (2012), Baleanu and Trujillo (2008), Lotfi et al. (2011), Magin et al. (2009), Kayedi et al. (2012), Saadatmandi and Dehghan (2010, 2011a), Saadatmandi et al. (2012),Dehghan et al. (2010a, 2010b), Saadatmandi and Dehghan (2011b), Wang (2006), Wu (2009) and Yousefi et al. (2011) for recent…”
A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations (2015, methodology): “[31] gave an efficient numerical algorithm based on the Sinc–Legendre collocation method for the time-fractional convection–diffusion equation with variable coefficients on a finite domain.”
A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions (2018, methodology): “In Table 6 we compare the absolute error of our method together with the results obtained by using the Haar wavelet method [50], Sinc-Legendre collocation method [51] and third kind Chebyshev wavelet method [52].”
A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials (2016, methodology): “More research works are investigated in Kayedi-Bardeh et al. (2014), Mohebbi et al. (2013, 2014), Saadatmandi et al. (2012) and Saadatmandi and Dehghan (2011).”