International Scholarly Research Notices / 2011 / Article / Tab 2 / Research Article
Analytical Approximate Solution of Nonlinear Differential Equation Governing Jeffery-Hamel Flow with High Magnetic Field by Adomian Decomposition Method Table 2 Comparison between the numerical results and ADM solution for velocity when
R
e
=
2
5
,
𝛼
=
5
∘
.
𝜂
Ha = 0 Ha = 100 Ha = 250 Ha = 500 Numerical ADM %Error Numerical ADM Error Numerical ADM Error Numerical ADM %Error 0 1 1 0 1 1 0 1 1 0 1 1 0 0.1 0.986671 0.9866365 0.000035 0.987488 0.9867671 0.00073 0.988606 0.9870331 0.001591 0.99022 0.992695 0.002475 0.2 0.947258 0.9471292 0.000136 0.950396 0.9477282 0.002807 0.9547 0.9488372 0.006141 0.960933 0.970544 0.009611 0.3 0.883419 0.8831778 0.000273 0.890009 0.884749 0.00591 0.899076 0.8873853 0.013003 0.912273 0.912273 0.006304 0.4 0.797697 0.7973476 0.000438 0.808288 0.8005834 0.009532 0.822925 0.8132968 0.0117 0.844383 0.832683 0.009146 0.5 0.693233 0.6928205 0.000595 0.70764 0.6984237 0.013024 0.727664 0.7175749 0.013865 0.757286 0.743421 0.010234 0.6 0.573424 0.5730174 0.000709 0.590631 0.5813941 0.015639 0.614709 0.6086584 0.009843 0.650719 0.643816 0.006902 0.7 0.441593 0.4412649 0.000743 0.459695 0.4520834 0.016558 0.485232 0.4810561 0.008606 0.523909 0.515303 0.018548 0.8 0.300674 0.300475 0.000662 0.316855 0.3121316 0.014907 0.33989 0.3351125 0.014056 0.37529 0.361234 0.013709 0.9 0.152979 0.1529137 0.000427 0.163467 0.1618745 0.009742 0.178555 0.1772346 0.007395 0.202125 0.19473 0.009368 1 0 0 0 0 0 0 0 0 0 0 0 0
