Solution of Temperature Distribution in a Radiating Fin Using Homotopy Perturbation Method

Table 1

The dimensionless tip temperature for 𝜓=1.

Number of the terms in the solution (𝑀)	𝑀=5		𝑀=7		𝑀=10		𝑀=14
Method	HPM	ADM	HPM	ADM	HPM	ADM	HPM	ADM
𝛽=0.6	0.827821	0.819185	0.826552	0.825079	0.8267319	0.825063	0.82675	0.825052
𝛽=0.4	0.813389	0.814489	0.813351	0.813279	0.8133683	0.810866	0.813369	0.813236
𝛽=0.2	0.797708	0.80021	0.797712	0.799025	0.7977122	0.797812	0.797712	0.797809
𝛽=0	0.779177	0.777778	0.779147	0.777765	0.7791452	0.776554	0.779145	0.775333
𝛽=−0.2	0.757702	0.752987	0.75698	0.752967	0.7568182	0.754144	0.756802	0.754132
𝛽=−0.4	0.819743	0.814465	0.816013	0.813252	0.8132926	0.810831	0.812155	0.813201
𝛽=−0.6	0.710294	0.715063	0.703219	0.700812	0.6988481	0.696134	0.696764	0.694918