Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations

Figure 1

Simulations of NSFD scheme (34) for (4) with stepsize Δ𝑡=0.001 and ℎ=0.1.

(a) 𝑈^𝑛_𝑗 and 𝑢(𝑥,𝑡)

(b) Error between 𝑈^𝑛_𝑗 and 𝑢(𝑥,𝑡)