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Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation

Article scientifique 2022 Anglais

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Abstract The numerical analysis of the temporal distributed and spatial Riesz fractional problem (TDSRFP) is presented in this work. To address the two independent variables, the suggested technique employs a completely spectral Legendre collocation approach. For the current model, our technique is proven to be more accurate, efficient, and practical. The results confirmed that the spectral scheme is exponentially convergent.

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Abdelkawy, M., Jeelani, M., Alnahdi, A., Taha, T., Soluma, E. (2022). Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation. https://doi.org/10.1186/s13661-022-01596-z

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