Stability and convergence of high-order WENO-OS scheme for the Allen-Cahn equation | Synapse
March 3, 2026
Stability and convergence of high-order WENO-OS scheme for the Allen-Cahn equation
Key Points
Results demonstrate the stability of high-order schemes for the Allen-Cahn equation, supporting reliable computations.
Key evidence shows that the high-order WENO-OS scheme achieves convergence rates of order four for the Allen-Cahn equation.
Numerical analysis uses the WENO technique to assess stability and convergence of methods applied to the Allen-Cahn equation.
The findings may enable more accurate simulations in mathematical modeling involving phase transitions, requiring further testing in complex scenarios.