An Efficient Parallel Approximate Algorithm for Solving Time Fractional Reaction-Diffusion Equations

Table 3

The order of spatial convergence of implicit, E-I, and PASE-I schemes .

	M	Implicit scheme		E-I scheme [41]		PASE-I scheme
		0.3	21	7.748165e − 02		2.563728e − 02		1.645750e − 02
41	1.982738e − 02		1.966360	6.165582e − 03	2.055934	3.591584e − 03	2.196053
81	4.988066e − 03		1.990942	1.496886e − 03	2.042272	8.037972e − 04	2.159717
161	11.249155e − 03		1.997528	3.666129e − 04	2.029635	1.829138e − 04	2.135667
321	3.124381e − 04		1.999310	9.038107e − 05	2.020165	4.203903e − 05	2.121363
0.5	21	7.686890e − 02		2.349958e − 02		1.540929e − 01
	41	1.974082e − 02	1.961218	5.775474e − 03	2.024623	3.959968e − 02	1.960240
	81	4.976324e − 03	1.988030	1.429413e − 03	2.014517	9.648636e − 03	2.037092
	161	1.247601e − 03	1.995924	3.554208e − 04	2.007822	2.376859e − 03	2.021269
	321	3.122356e − 04	1.998449	8.860591e − 05	2.004054	5.895655e − 04	2.011332
0.7	21	7.521184e − 02		2.255208e − 02		1.194496e − 01
	41	1.942855e − 02	1.952781	5.639231e − 03	1.999690	2.855516e − 02	2.064579
	81	4.920092e − 03	1.981421	1.411534e − 03	1.998235	6.730069e − 03	2.085058
	161	1.237740e − 03	1.990977	3.534096e − 04	1.997851	1.613612e − 03	2.060328
	321	3.105362e − 04	1.994875	8.846820e − 05	2.005951	3.912510e − 04	2.044127