Efficient numerical treatment of time fractional advection diffusion equations for modeling heat, pollutant and particle transport using subdivision collocation
Randomized trial demonstrates efficient numerical treatment of transport phenomena, suggesting improved performance for complex systems.
Key Points
The aim is to develop an efficient numerical method for solving time fractional advection diffusion equations for better modeling of transport phenomena.
Subdivision collocation algorithm applied to time-fractional advection diffusion equations.
Caputo sense method for fractional time derivative approximations.
Spatial nodes collocated to convert the problem into algebraic equations.
The subdivision collocation method shows high accuracy compared to conventional techniques.
Reduced computational resource requirements are achieved without sacrificing numerical performance.
Validated performance through consistency and error analysis which indicates reliability.