The Time-Fractional Coupled-Korteweg-de-Vries Equations

Table 1

Numerical values of the approximate, exact solutions and the results obtained in [20, 21].

𝑥	𝑡	𝑢(𝑥,𝑡) exact	𝑢(𝑥,𝑡) approximate	[20]	Error for [20]	Error approx
−10	0.1	0.000164305	0.000164334	0.000164384	2.99039×10^−8	2.95039×10^−8
	0.2	0.00014867	0.000148901	0.000148991	2.33335×10^−7	2.30335×10^−7
−5	0.1	0.0240923	0.0240963	0.02409673	3.96592×10^−6	3.93592×10^−6
	0.2	0.0218248	0.0218556	0.02185586	0.0000338049	0.0000308049
5	0.1	0.0240923	0.0240963	0.02409653	3.97592×10^−6	3.93592×10^−6
	0.2	0.0218248	0.0218556	0.02185576	0.0000378049	0.0000308049
10	0.1	0.000164305	0.000164334	0.000164344	2.96039×10^−8	2.95039×10^−8
	0.2	0.00014867	0.000148901	0.000148931	2.37335×10	2.30335×10^−7
𝑥	𝑡	𝑣(𝑥,𝑡) exact	𝑣(𝑥,𝑡) approximate	[20]	Error for [20]	Error
−10	0.1	0.000116181	0.000116202	0.000116232	2.18624×10^−8	2.08624×10^−8
	0.2	0.000105126	0.000105289	0.000105259	1.64872×10^−7	1.62872×10^−7
−5	0.1	0.170358	0.0170386	0.0170387	2.88312×10^−6	2.78312×10^−6
	0.2	0.0154325	0.0154542	0.0154552	0.0000287824	0.0000217824
5	0.1	0.170358	0.0170386	0.0170389	2.98312×10^−6	2.78312×10^−6
	0.2	0.0154325	0.0154542	0.0154562	0.0000247824	0.0000217824
10	0.1	0.000116181	0.000116202	0.000116252	2.09624×10^−8	2.08624×10^−8
	0.2	0.000105126	0.000105289	0.000105299	1.72872×10^−7	1.62872×10^−7