A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems

Table 1

Coefficients 𝑎_𝑘𝑖 for the kinematic application.

	𝑖=1	𝑖=2	𝑖=3	𝑖=4
𝑘=1	−0.249150680	+0.125016350	−0.635550077	+1.48947730
𝑘=2	+1.609135400	−0.686607360	−0.115719920	+0.23062341
𝑘=3	+0.279423430	−0.119228120	−0.666404480	+1.32810730
𝑘=4	+1.434801600	−0.719940470	+0.110362110	−0.25864503
𝑘=5	+0.000000000	−0.432419270	+0.290702030	+1.16517200
𝑘=6	+0.400263840	+0.000000000	+1.258776700	−0.26908494
𝑘=7	−0.800527680	+0.000000000	−0.629388360	+0.53816987
𝑘=8	+0.000000000	−0.864838550	+0.581404060	+0.58258598
𝑘=9	+0.074052388	−0.037157270	+0.195946620	−0.20816985
𝑘=10	−0.083050031	+0.035436896	−1.228034200	+2.68683200
𝑘=11	−0.386159610	+0.085383482	+0.000000000	−0.69910317
𝑘=12	−0.755266030	+0.000000000	−0.079034221	+0.35744413
𝑘=13	+0.504201680	−0.039251967	+0.026387877	+1.24991170
𝑘=14	−1.091628700	+0.000000000	−0.057131430	+1.46773600
𝑘=15	+0.000000000	−0.432419270	−1.162808100	+1.16517200
𝑘=16	+0.049207290	+0.000000000	+1.258776700	+1.07633970
𝑘=17	+0.049207290	+0.013873010	+2.162575000	−0.69686809