Skip to main content

Table 1 The errors for different space step h at \(t=1\) and convergence orders

From: A B-spline finite element method for solving a class of nonlinear parabolic equations modeling epitaxial thin-film growth with variable coefficient

t,h) \(\|u-u_{h}\|\) rate \(\|u-u_{h}\|_{1}\) rate \(\|u-u_{h}\|_{2} \) rate
(1/8000,1/10) \(2.0642e^{-4}\)   \(7.0170e^{-3}\)   \(4.3022e^{-1}\)  
(1/8000,1/20) \(1.4750e^{-5}\) 4.1349 \(8.1325e^{-4}\) 3.1091 \(1.0389e^{-1}\) 2.0500
(1/8000,1/40) \(7.1398e^{-7}\) 4.0406 \(9.9680e^{-5}\) 3.0283 \(2.5745e^{-2}\) 2.0127
(1/8000,1/80) \(4.1614e^{-8}\) 4.1614 \(1.2399e^{-5}\) 3.0071 \(6.4221e^{-3}\) 2.0032