A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations

Table 1

Absolute errors for Example 5.1.

𝑥	True solution	DM [8]	VIM [9]	RKM (𝑢^511)	RKM (𝑢^5101)
0	0.05566	5.61689𝐸−5	1.48366𝐸−4	2.16993𝐸−5	2.11552𝐸−7
0.1	0.19798	5.47421𝐸−5	1.46246𝐸−4	1.92463𝐸−5	1.90591𝐸−7
0.2	0.39473	5.43973𝐸−5	1.49244𝐸−4	1.70817𝐸−5	1.59788𝐸−7
0.3	0.60560	5.47579𝐸−5	1.55807𝐸−4	1.49046𝐸−5	1.36933𝐸−7
0.4	0.77891	5.56624𝐸−5	1.65449𝐸−4	1.26031𝐸−5	1.14128𝐸−7
0.5	0.83516	5.68976𝐸−5	1.78225𝐸−4	1.02477𝐸−5	9.25561𝐸−8
0.6	0.70036	5.80389𝐸−5	1.94554𝐸−4	7.88466𝐸−6	6.84821𝐸−8
0.7	0.50144	5.82441𝐸−5	2.1518𝐸−4	5.65515𝐸−6	4.82468𝐸−8
0.8	0.29175	5.5968𝐸−5	2.41183𝐸−4	3.54481𝐸−6	2.9536𝐸−8
0.9	0.11797	4.85764𝐸−5	2.74062𝐸−4	1.50572𝐸−6	9.8474𝐸−9
1.0	0.01485	3.18397𝐸−5	3.15881𝐸−4	9.79078𝐸−7	1.3896𝐸−8