Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations

Table 1

Numerical results.

(𝑥,𝑡)	𝑢(𝑥,𝑡)	|(𝑢−𝑢25)/𝑢|	|(𝑢−𝑢100)/𝑢|	|(𝑢−𝑢400)/𝑢|
(0.00,0.0001)	0.000700035	0.000000000	2.45579𝐸−10	1.12923𝐸−9
(0.95,0.05)	0.187934	0.000230442	0.0000112112	1.94207𝐸−6
(0.85,0.15)	−0.241376	0.0000224685	6.90183𝐸−6	1.36152𝐸−6
(0.75,0.25)	−1.36687	0.00086302	0.0000715374	7.60769𝐸−8
(0.65,0.35)	−2.7296	0.00322583	0.000250607	5.17148𝐸−7
(0.55,0.45)	−3.87049	0.00287117	0.000571766	1.33238𝐸−6
(0.45,0.55)	−4.34049	0.00517334	0.000894053	2.81685𝐸−6
(0.35,0.65)	−3.71389	0.00142632	0.000913571	5.62867𝐸−6
(0.25,0.75)	−1.60569	0.00213525	0.000480841	1.37775𝐸−5
(0.15,0.85)	2.3062	0.00450865	0.000593452	2.81487𝐸−6
(0.05,0.95)	8.25283	0.0020922	0.00048678	5.00647𝐸−6