A Point Source Identification Problem for a Time Fractional Diffusion Equation

Table 1

Example 1: numerical comparison for 𝜖=0.01 and 𝑀=5.

Exact	𝜆𝑗	11	1	21	−5	−7
	𝜃𝑗	(0.5, 1)	(0.5, 5)	(0.5, 10)	(0.5, 15)	(0.5, 25)
𝑄=25	𝜆𝑗	11.6978	1.0539	22.0974	−5.1806	−7.3625
	𝜃𝑗	(0.5196, 0.9876)	(0.5349, 4.9513)	(0.5173, 10.0002)	(0.5059, 14.9989)	(0.5129, 25.0005)
𝑄=100	𝜆𝑗	11.7866	0.9881	22.1760	−5.1460	−7.3026
	𝜃𝑗	(0.5226, 0.9925)	(0.5196, 4.9688)	(0.5188, 10.0002)	(0.5059, 15.0016)	(0.5102, 25.0001)
𝑄=256	𝜆𝑗	11.4531	1.0006	22.1702	−5.1226	−7.1781
	𝜃𝑗	(0.5136, 0.9929)	(0.5219, 4.9689)	(0.5190, 10.0005)	(0.5027, 15.0023)	(0.5046, 24.9995)
𝑄=400	𝜆𝑗	11.6968	1.0962	22.1453	−5.0899	−7.1799
	𝜃𝑗	(0.5213, 0.9977)	(0.5521, 4.9829)	(0.5186, 10.0005)	(0.5009, 15.0027)	(0.5047, 25.0008)
𝑄=625	𝜆𝑗	11.9726	1.0230	22.0421	−5.1289	−7.1438
	𝜃𝑗	(0.5274, 0.9951)	(0.5309, 5.0000)	(0.5171, 10.0004)	(0.5033, 15.0033)	(0.5028, 24.9993)
𝑄=900	𝜆𝑗	11.5229	1.0794	22.3220	−4.9636	−7.1709
	𝜃𝑗	(0.5163, 0.9975)	(0.5477, 4.9907)	(0.5209, 10.0004)	(0.4919, 15.0005)	(0.5035, 25.0000)