The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations

Table 1

Numerical values for approximate solutions of (49) via ADM, VIM, and HPSTM.

𝑡	𝑥	𝑦	ADM [29]	VIM [29]	HPSTM	Exact
0.25	0.5	0.5	0.68163209	0.68163219	0.681639	0.681639
	0.5	1.0	0.94898215	0.94898245	0.948985	0.948985
	1.0	0.5	0.94898215	0.94898245	0.948985	0.948985
	1.0	1.0	0.98398623	0.98398643	0.983986	0.983986
0.5	0.5	0.5	0.47942925	0.47942985	0.479425	0.479426
	0.5	1.0	0.84147331	0.84147361	0.841471	0.841471
	1.0	0.5	0.84147331	0.84147361	0.841471	0.841471
	1.0	1.0	0.99749205	0.99749235	0.997495	0.997495
0.75	0.5	0.5	0.2474231	0.2474232	0.247402	0.247404
	1.0	1.0	0.68163452	0.68163456	0.681636	0.681639
	0.5	0.5	0.68163453	0.68163456	0.681636	0.681639
	1.0	1.0	0.94898533	0.94898532	0.948982	0.948985
1.0	0.5	0.5	−0.000001905	−0.000001925	−0.0000019	−0.00000018
	1.0	1.0	0.4794205	0.4794215	0.479401	0.479426
	0.5	0.5	0.4794205	0.4794215	0.479401	0.479426
	1.0	1.0	0.8414352	0.8414582	0.841448	0.841448