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

Figure 2

𝑈 and 𝑢(𝑥,𝑡) at a fixed value 𝑥=𝑥=0.5 for NSFD scheme (34).

(a) 𝑈^𝑛_𝑗 and 𝑢(𝑥,𝑡)

(b) Error between 𝑈^𝑛_𝑗 and 𝑢(𝑥,𝑡)