Table 2 The exact and NITM results of \(\nu (\zeta ,\varphi ,\Im )\) and absolute error of Example 1.
From: Analysis of some dynamical systems by combination of two different methods
\(({\zeta ,{\varphi }})\) | \(v({\zeta ,{\varphi }})\) at \({ \varpi }=\)0.5 | \(v({\zeta ,{\varphi }})\) at \({ \varpi }=\)0.75 | \(v({\zeta ,{\Im }})\) at \({ \varpi }=\)1 | Exact | HPM26 | Absolute error NIM solution |
|---|---|---|---|---|---|---|
(0.1,0.1) | 0.0939215 | 0.0939015 | 0.09389 | 0.09389 | 5.86860\({ \times }10^{-11}\) | 3.28081\({ \times }10^{-12}\) |
(0.1,0.3) | 0.0939536 | 0.0939319 | 0.0939146 | 0.0939146 | 3.04565\({ \times }10^{-10}\) | 8.85812\({ \times }10^{-11}\) |
(0.1,0.5) | 0.0939757 | 0.0939571 | 0.0939391 | 0.0939391 | 3.08812\({ \times }10^{-8}\) | 4.10099\({ \times }10^{-10}\) |
(0.2,0.1) | 0.0915064 | 0.091487 | 0.0914759 | 0.0914759 | 5.56884\({ \times }10^{-11}\) | 3.07768\({ \times }10^{-12}\) |
(0.2,0.3) | 0.0915375 | 0.0915165 | 0.0914997 | 0.0914997 | 2.97260\({ \times }10^{-08}\) | 8.30963\({ \times }10^{-11}\) |
(0.2,0.5) | 0.0915589 | 0.0915409 | 0.0915235 | 0.0915235 | 2.92626\({ \times }10^{-8}\) | 3.84706\({ \times }10^{-10}\) |
(0.3,0.1) | 0.0891657 | 0.0891469 | 0.0891361 | 0.0891361 | 5.28609\({ \times }10^{-12}\) | 2.88849\({ \times }10^{-12}\) |
(0.3,0.3) | 0.0891958 | 0.0891754 | 0.0891592 | 0.0891592 | 2.77382\({ \times }10^{-9}\) | 3.6107\({ \times }10^{-10}\) |
(0.3,0.5) | 0.0892166 | 0.0891992 | 0.0891822 | 0.0891822 | 5.01929\({ \times }10^{-8}\) | 2.71246\({ \times }10^{-12}\) |
(0.4,0.1) | 0.0868965 | 0.0868782 | 0.0868678 | 0.0868678 | 2.83229\({ \times }10^{-9}\) | 7.32356\({ \times }10^{-11}\) |
(0.4,0.3) | 0.0869257 | 0.0869059 | 0.0868901 | 0.08688901 | 2.63019\({ \times }10^{-10}\) | 3.39055\({ \times }10^{-10}\) |
(0.4,0.5) | 0.0869458 | 0.0869289 | 0.0869125 | 0.0869125 | 4.76741\({ \times }10^{-11}\) | 2.54828\({ \times }10^{-12}\) |
(0.5,0.1) | 0.0846961 | 0.0846784 | 0.0846683 | 0.0846683 | 2.76492\({ \times }10^{-10}\) | 6.88039\({ \times }10^{-11}\) |
(0.5,0.3) | 0.0847244 | 0.0847052 | 0.0846899 | 0.0846899 | 2.49480\({ \times }10^{-9}\) | 3.18537\({ \times }10^{-10}\) |
