A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solutions of (2+1)-Dimensional Time Fractional Coupled Burger Equations

Table 2

The comparison of results obtained in proposed method with HPM when 𝑦 = 0.3, 𝛼=1, and 𝛽=1.

	𝑡	|𝑢Exact−𝑢HPM|	|𝑣Exact−𝑣HPM|	|𝑢Exact−𝑢CRFDTM|	|𝑣Exact−𝑣CRFDTM|
𝑥 = 0.1	0.1	0.00388488	0.000409157	0.0000403885	0.000080777
	0.2	0.0205864	0.00179639	0.00064308	0.00128616
	0.3	0.0830004	0.00575008	0.00320473	0.00640947
	0.4	0.192169	0.0154079	0.00989663	0.0197933
	0.5	0.356304	0.0351083	0.0234905	0.046981
𝑥 = 0.2	0.1	0.00340343	0.000358137	0.0000377862	0.0000755724
	0.2	0.0254938	0.000618968	0.000619573	0.00123915
	0.3	0.0946681	0.00097818	0.00315603	0.00631207
	0.4	0.211242	0.00333882	0.00991152	0.019823
	0.5	0.381651	0.0109793	0.0238381	0.0476761
𝑥 = 0.3	0.1	0.00290734	0.000169508	0.0000309013	0.0000618027
	0.2	0.0273013	0.00190188	0.000536002	0.001072
	0.3	0.0924439	0.0086713	0.00284027	0.00568053
	0.4	0.193425	0.0207692	0.00918199	0.018364
	0.5	0.330375	0.0372769	0.0225741	0.0451482
𝑥 = 0.4	0.1	0.00271456	0.000255194	0.0000181808	0.0000363616
	0.2	0.0220717	0.00656152	0.000368845	0.00073769
	0.3	0.0620409	0.0259301	0.00214616	0.00429232
	0.4	0.103938	0.0634979	0.00738142	0.0147628
	0.5	0.133654	0.122694	0.0189596	0.0379192
𝑥 = 0.5	0.1	0.0033497	0.00104781	1.95074E − 6	3.90148E − 6
	0.2	0.00408341	0.0143686	0.0000931316	0.000186263
	0.3	0.0167561	0.0541981	0.000951695	0.00190339
	0.4	0.105827	0.132966	0.00414311	0.00828621
	0.5	0.304	0.261277	0.0121501	0.0243001