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Table 4 \(L_{1}\) and \(L_{\infty }\) errors and CPU time at some different values of time-step size k for Problem 1 and spatial mesh size \(h=0.01\), \(\epsilon =0.01\) using FTCS-ϵ, where \(T_{\max }=2.5\times 10^{-3}\)

From: On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term

Time step (k) \(L_{1}\) error \(L_{\infty }\) error CPU (s)
\(T_{\max }/53\) 2.8025 × 10−1 1.5265 0.764
\(T_{\max }/100\) 5.9959 × 10−2 6.6244 × 10−1 0.783
\(T_{\max }/200\) 2.1273 × 10−2 2.6296 × 10−1 0.796
\(T_{\max }/300\) 2.4401 × 10−3 3.1737 × 10−2 0.928
\(T_{\max }/310\) 9.7448 × 10−4 1.3521 × 10−2 0.850
\(T_{\max }/315\) 3.2771 × 10−4 4.7040 × 10−3 0.799
\(T_{\max }/320\) 4.6757 × 10−4 4.6218 ×10−3 0.814
\(T_{\max }/325\) 1.1657 × 10−3 1.2769 × 10−2 0.902
\(T_{\max }/350\) 4.5061 × 10−3 5.3608 × 10−2 0.821
\(T_{\max }/375\) 7.6305 × 10−3 9.1590 × 10−2 0.927
\(T_{\max }/400\) 1.0576 × 10−2 1.2682 × 10−1 0.927
\(T_{\max }/500\) 2.1076 × 10−2 2.4515 × 10−1 0.925
\(T_{\max }/600\) 3.0241 × 10−2 3.4502 × 10−1 0.868