Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

Table 1

Numerical results for Example 11.

(𝑥,𝑡)	𝑢(𝑥,𝑡)	𝑢20(𝑥,𝑡)	Relative error
(0.65,0.1)	−0.062127	−0.0621255	2.33726𝐸−5
(0.85,0.3)	0.340119	0.340117	6.44956𝐸−6
(0.45,0.5)	−2.09138	−2.09151	6.47869𝐸−6
(0.5,0.7)	−3.8955	−3.89524	6.66563𝐸−5
(0.4,0.9)	−6.14693	−6.14721	4.66011𝐸−5
(0.35,1.1)	−8.3421	−8.34287	9.21041𝐸−5
(0.25,1.3)	−8.93588	−8.93797	2.34743𝐸−4
(0.4,1.5)	−15.066	−15.0659	6.33660𝐸−6
(0.45,1.7)	−18.9015	−18.9	8.02067𝐸−5
(1,2)	48.0	47.9863	2.84837𝐸−4