Solving Partial Differential Equations Using a New Differential Evolution Algorithm

Algorithm 2

Exponential crossover.

Input: x, v, CR

Output u

 (1) Set u = x

 (2) Randomly choose 𝑘∈{1,2,…,𝑑}

 (3) Set 𝐿=1. Generate a uniform random number 𝑟𝑎𝑛𝑑∈[0, 1].

 (4) While rand ≤ CR^𝐿 or 𝐿≤𝑑, do

 (5) 𝑢_𝑘=𝑣_𝑘, 𝐿=𝐿+1

 (6) 𝑘=𝑘+1, If 𝑘>𝑑, 𝑘=1

 (7) End while