From: A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations
Temporal step size
Maximum error
Convergence order
τ = 0.05
1.6572e − 05
τ = 0.025
4.1433e − 06
1.9998
τ = 0.0125
1.0359e − 06
1.9997
τ = 0.00625
2.7897e − 07
1.8927