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Theory and Modern Applications

Table 1 Computation of \(L_{1}\) and \(L_{\infty }\) errors using MMPDE and MMDAE methods with \(\rho =10^{4}, \alpha =1.5, \beta =0.1, a=1.015, \tau =10^{-7}, N=50\), at time \(t=2.5\times 10^{-3}\)

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

Methods

\(L_{1}\) error

\(L_{\infty }\) error

CPU

MMPDE

O(1)

4.29 × 10−2

ext

MMDAE

9.25 × 10−3

k × 10−2

0.86ext