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10.1016/J.APNUM.2020.09.003

In this paper, we present an efficient alternating direction implicit (ADI) scheme for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations.

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10.1016/J.APM.2019.04.023

Firstly, the equation is transformed into a multi-term time-space fractional wave equation using the mid-point quadrature rule to approximate the distributed-order Riesz space derivative.

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10.1109/PIERS-Spring46901.2019.9017618

We propose the following two new computational multi-term time-space fractional diffusion models in three dimensions, which can be used to simulate multi-term time-space fractional Bloch-Torrey models in three dimensions: Model I: Finite element method for the multi-term time-space fractional diffusion model with Riesz fractional operator; Model II: Finite difference method for the multi-term time-space fractional diffusion equation with fractional Laplacian operator.

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10.1007/s00366-019-00896-w

In this study, the Ritz–Galerkin method based on Legendre multiwavelet functions is introduced to solve multi-term time-space convection–diffusion equations of fractional order with variable coefficients and initial-boundary conditions.

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Multi Term Time Space

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Aug 17, 2022

What is/are Multi Term Time Space?

Multi Term Time Space - In this paper, we present an efficient alternating direction implicit (ADI) scheme for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. ^[1] Firstly, the equation is transformed into a multi-term time-space fractional wave equation using the mid-point quadrature rule to approximate the distributed-order Riesz space derivative. ^[2] We propose the following two new computational multi-term time-space fractional diffusion models in three dimensions, which can be used to simulate multi-term time-space fractional Bloch-Torrey models in three dimensions: Model I: Finite element method for the multi-term time-space fractional diffusion model with Riesz fractional operator; Model II: Finite difference method for the multi-term time-space fractional diffusion equation with fractional Laplacian operator. ^[3] In this study, the Ritz–Galerkin method based on Legendre multiwavelet functions is introduced to solve multi-term time-space convection–diffusion equations of fractional order with variable coefficients and initial-boundary conditions. ^[4]