Solving Partial Differential Equations Using a New Differential Evolution Algorithm

Algorithm 1

Binomial crossover.

Input: x, v, CR

Output u

 (1) Set u = x

 (2) Randomly choose 𝑚∈{1,2,…,𝑑}

 (3) For 𝑖=1 to 𝑑

 (4) Generate a uniform random number 𝑟𝑎𝑛𝑑∈[0, 1].

 (5) If rand ≤ CR or =𝑚, set 𝑢_𝑖=𝑣_𝑖.

 (6) Next 𝑖