AI Article Synopsis
- The paper discusses the space fractional advection-diffusion equation, a key fractional partial differential equation used to better model natural phenomena.
- It emphasizes a numerical approach, developing a lattice Boltzmann model to solve the equation and conducting an error analysis.
- Validation of the model is achieved by comparing numerical solutions to other methods, demonstrating that the lattice Boltzmann method is a reliable tool for these types of equations.
Article Abstract
The space fractional advection-diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper focuses on its numerical investigation. A lattice Boltzmann model for the spatial fractional convection-diffusion equation is developed, and an error analysis is carried out. The spatial fractional convection-diffusion equation is solved for several examples. The validity of the model is confirmed by comparing its numerical solutions with those obtained from other methods The results demonstrate that the lattice Boltzmann method is an effective tool for solving the space fractional convection-diffusion equation.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11431272 | PMC |
| http://dx.doi.org/10.3390/e26090768 | DOI Listing |
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