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

Table 11

Comparison of results for economics modeling application benchmark.

Algorithm	EA			DEIWO
	Solutions	Functions values	Error	Solutions	Functions values	Error
Solution 1	−0.1639324; −0.3813209; 0.2242448; −0.0755094; 0.1171098; 0.0174083; −0.0594358; −0.2218284; 0.1856304; −0.2653962; −0.3712114; −0.3440810; −0.1060168; 0.0218564; −0.2028748; 0.0533728; −0.0587111; 0.0057098; −0.0149290; −0.0004102	1.94𝐸−005; 9.73𝐸−005; 0.0001201; 2.39𝐸−005; 5.61𝐸−005; 3.89𝐸−005; 3.90𝐸−005; 9.31𝐸−005; 0.0001294; 5.01𝐸−005; 0.0001009; 0.0001601; 6.32𝐸−006; 7.96𝐸−006; 7.66𝐸−006; 2.35𝐸−005; 2.21𝐸−005; 3.34𝐸−006; 6.12𝐸−006; 0.4110599	0.4094911811	−6.219110636449961; −2.286125269050309; −0.190906907089769; 3.293847780216458; 0.226175997267840; 6.431110110640911; 0.873513075442108; −1.765644489553301; −6.288552449032001; −1.366427157490679; 3.124344370134706; −7.620830976635871; 3.649665491921485; −4.964622122726966; 8.520732370320570; 4.694681906366633; −3.567582193815149; 1.165936019206677; 1.289481831200988; 0.000003335851933	0.000206621288237; 0.000055179798466; 0.000179369758855; 0.000153340171517; 0.000012764866830; 0.000366739260435; 0.000027744616667; 0.000025655636832; 0.000211906268785; 0.000005300945657; 0.000160285427757; 0.000008959715481; 0.000036544006572; 0.000213079172405; 0.000028339070859; 0.000079961116369; 0.000045923286818; 0.000022862241718; 0.000004301520459; 0.000313249125625	0.0000004629
Solution 2	−0.2071340; −0.2251718; −0.0910972; −0.0028412; −0.2110337; 0.4501557; −0.0263800; 0.0086212; −0.2065700; 0.1663536; −0.1450036; −0.0743482; −0.2007066; −0.1451752; −0.2078702; −0.2750080; −0.0422618; −0.0602186; 0.0643765; −0.0327867	0.0050496; 0.0003158; 0.0035983; 0.0044357; 0.0117217; 0.0153466; 0.0005013; 0.0001027; 0.0076698; 0.0045637; 0.0009652; 8.36𝐸−006; 0.0018678; 0.0016314; 0.0044618; 0.0084773; 0.0014519; 0.0024115; 0.0021106; 0.2107177	0.1866532809	−8.258178201520460; 3.820226326345229; 0.896792437864452; −1.378246977599881; −1.977980138918008; 9.317994920873035; 7.625886190069895; −9.854325674137856; −8.451314609323713; −1.288302214965556; −4.806635040632184; 8.714568113773245; −0.240230209985321; −2.242967577834238; −3.026321149977592; 7.848935266531751; −0.856054140099465; 4.362368405116176; −1.207387470433794; −0.000003389324678	0.000112448421209; 0.000508863338639; 0.000443065499734; 0.000118951963880; 0.000139208990183; 0.000243214789175; 0.000139948558457; 0.000253303825953; 0.000004024795816; 0.000387682069229; 0.000182576533214; 0.000073658228323; 0.000016739957752; 0.000163845735074; 0.000222130681599; 0.000103377255053; 0.000140635835620; 0.000048579832185; 0.000004092228149; 0.001171744854285	0.0000023157
Solution 3	0.0936580; −0.1113572; −0.0652960; −0.0274100; −0.0515078; −0.0525712; 0.1674281; −0.0284058; −0.1587341; −0.1284569; −0.1326800; −0.1138290; −0.1430544; 0.0521726; −0.2608338; −0.1602811; −0.1141750; −0.1677992; −0.1159721; 0.0020995	0.0004909; 1.66𝑒−005; 0.0001413; 0.0001387; 1.50𝑒−005; 0.0001687; 0.0006289; 7.11𝑒−006; 0.0002428; 0.0001981; 0.0002817; 0.0002442; 0.0001696; 0.0001335; 0.0005227; 0.0003038; 0.0002455; 0.0003751; 0.0002454; 0.3975329	0.2694715119	0.410175655605525; −2.945267796294842; −3.835549781983572; −2.443847819769871; −5.748058015027992; −1.590111925088804; 2.813985490565141; −4.171269624265078; −0.630245452070986; 8.113507792718970; 4.439827399023531; 4.827513156671341; 7.390298377478004; −8.776390912646111; −3.473157113136982; 0.231251460267028; 5.048928765222839; −2.003672367032949; 1.344442609750887; −0.000002463056953	0.000174067214160; 0.000070546833656; 0.000015906476143; 0.000141821985185; 0.000226460376758; 0.000111802212012; 0.000123909026492; 0.000270653873401; 0.000001910012918; 0.000074219143303; 0.000015270345745; 0.000060127527268; 0.000025057749856; 0.000081474905001; 0.000034111315945; 0.000007504624843; 0.000000658443143; 0.000003576887608; 0.000003311438718; 0.002359899986076	0.0000057950
Solution 4	−0.2686292; 0.3391340; 0.0732562; 0.0797120; −0.1109362; 0.0177894; 0.4220681; −0.0583526; −0.2610232; −0.2838340; −0.3579828; 0.0214270; −0.6282558; 0.2185146; −0.0897853; −0.0178795; −0.2514783; −0.0546466; 0.0275084; 0.0048114	0.0015673; 0.0028117; 2.58𝑒−005; 0.0013986; 0.0003991; 0.0014187; 0.0023095; 4.67𝑒−006; 0.0017655; 0.0014891; 0.0028633; 0.0014185; 0.0035229; 0.0010139; 0.0008279; 0.0001595; 0.0010944; 0.0002984; 0.0001323; 0.2261284	0.0336841112	0.309460292219735; −9.464274256657685; 3.672220916230188; 3.501423117721803; 4.263588177101166; 3.919464724708721; 5.299860346560947; 4.570456826901647; −9.419089944307890; 4.270196782723423; −9.794235483541998; 3.575029940105042; −9.670595944106060; 4.067150477104734; −9.508380909500426; 2.638382397598715; 2.824986452927806; 2.617827805414225; 1.326365492565140; −0.000002314853582	0.000526241325241; 0.000697399646506; 0.000524135889717; 0.000291514335086; 0.000511322143838; 0.000111237908905; 0.000002321170209; 0.000357073934313; 0.000119999377139; 0.000161166520658; 0.000247081697216; 0.000079293991687; 0.000272037260975; 0.000003123855339; 0.000049007635690; 0.000037946306022; 0.000020643833165; 0.000007010036976; 0.000003070341910; 0.000162788230767	0.0000017369