Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method

Table 2

Comparison of the HDM and [1] results with the exaction solution for 𝑁=6.

𝑥	HDM	Exact	ADM	Err for HDM	Err for ADM
−1.0	7.38906	7.38906	7.38906	6.78𝐸−16	8.88𝐸−16
−0.6	7.56598	7.56598	7.56598	4.76𝐸−12	7.96𝐸−12
−0.2	6.02244	6.02244	6.02244	0.015𝐸−11	1.46𝐸−11
0.2	4.03696	4.03696	4.03696	0.017𝐸−11	1.80𝐸−11
0.6	2.27883	2.27883	2.27883	0.015𝐸−11	1.46𝐸−11
1.0	1.0	1.0	1.0	1.24𝐸−15	2.22𝐸−15