A Point Source Identification Problem for a Time Fractional Diffusion Equation

Table 2

Example 1: numerical comparison for 𝜖=0.001 and 𝑀=5.

Exact	𝜆𝑗	5	7	2	5	7
	𝜃𝑗	(0.3, 1)	(0.6, 5)	(0.5, 10)	(0.7, 15)	(0.2, 25)
𝑄=25	𝜆𝑗	4.9670	7.3015	1.8876	5.1820	6.9783
	𝜃𝑗	(0.3016, 1.0113)	(0.6133, 5.0007)	(0.4816, 10.0010)	(0.7097, 14.9972)	(0.1985, 24.9974)
𝑄=100	𝜆𝑗	4.9553	7.1001	1.9929	5.0736	6.9830
	𝜃𝑗	(0.3009, 1.0117)	(0.6057, 4.9999)	(0.4993, 10.0079)	(0.7061, 15.0017)	(0.1982, 24.9966)
𝑄=256	𝜆𝑗	4.9891	7.0950	2.0070	4.9055	6.7970
	𝜃𝑗	(0.3041, 1.0112)	(0.6054, 4.9992)	(0.5018, 10.0075)	(0.7003, 15.0016)	(0.2031, 25.0043)
𝑄=400	𝜆𝑗	4.9690	7.0538	1.9133	4.9015	6.7483
	𝜃𝑗	(0.3020, 1.0114)	(0.6041, 4.9998)	(0.4859, 10.0036)	(0.7002, 15.0014)	(0.2032, 25.0023)
𝑄=625	𝜆𝑗	4.9678	7.0433	1.9759	4.9636	6.6110
	𝜃𝑗	(0.3022, 1.0115)	(0.6036, 5.0003)	(0.4966, 10.0061)	(0.7025, 15.0035)	(0.2078, 25.0015)
𝑄=900	𝜆𝑗	4.9803	7.0981	2.0104	5.0513	6.6630
	𝜃𝑗	(0.3030, 1.0103)	(0.6052, 4.9991)	(0.5019, 10.0072)	(0.7047, 15.0059)	(0.2065, 25.0024)