Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Table 2

The results of DTM, VIM, ADM, and NS for dimensionless temperature.

𝜉	𝛽=0.4,𝜓=1				𝛽=0.2,𝜓=0.5
	DTM	VIM [4]	ADM [31]	NS	DTM	VIM [4]	ADM [31]	NS
0	0.8133693583	0.8145587262	0.8122259487	0.8133695812	0.8679116912	0.8677934850	0.8678227415	0.8679120939
0.05	0.8137822645	0.8149299130	0.8126321774	0.8137824427	0.8682139355	0.8680864947	0.8681245987	0.8682140666
0.10	0.8150223528	0.8160457268	0.8138530912	0.8150225764	0.8691214181	0.8689665327	0.8690309943	0.8691217405
0.15	0.8170937494	0.8179129642	0.8158953383	0.8170939665	0.8706363930	0.8704366340	0.8705444008	0.8706367938
0.20	0.8200033838	0.8205430743	0.8187698837	0.8200036083	0.8727626384	0.8725018855	0.8726689432	0.8727630106
0.25	0.8237610702	0.8239523423	0.8224918404	0.8237612930	0.8755054875	0.8751694686	0.8754104067	0.8755058710
0.30	0.8283796228	0.8281621511	0.8270802450	0.8283798480	0.8788718740	0.8784487205	0.8787762466	0.8788722707
0.35	0.8338750084	0.8331993221	0.8325577851	0.8338752350	0.8828703906	0.8823512130	0.8827756075	0.8828707739
0.40	0.8402665394	0.8390965420	0.8389504951	0.8402667643	0.8875113635	0.8868908496	0.8874193466	0.8875117414
0.45	0.8475771116	0.8458928803	0.8462874349	0.8475773321	0.8928069419	0.8920839837	0.8927200706	0.8928073243
0.50	0.8558334915	0.8536344030	0.8546003708	0.8558337131	0.8987712062	0.8979495558	0.8986921830	0.8987715631
0.55	0.8650666613	0.8623748942	0.8639234800	0.8650668754	0.9054202946	0.9045092538	0.9053519505	0.9054206440
0.60	0.8753122271	0.8721766901	0.8742931088	0.8753124399	0.9127725525	0.9117876937	0.9127175865	0.9127729094
0.65	0.8866109039	0.8831116398	0.8857476040	0.8866111038	0.9208487049	0.9198126293	0.9208093621	0.9208490358
0.70	0.8990090866	0.8952622030	0.8983272589	0.8990092815	0.9296720572	0.9286151827	0.9296497443	0.9296723561
0.75	0.9125595243	0.9087226999	0.9120743995	0.9125597131	0.9392687258	0.9382301051	0.9392635667	0.9392690380
0.80	0.9273221155	0.9236007249	0.9270336526	0.9273222778	0.9496679059	0.9486960683	0.9496782441	0.9496681990
0.85	0.9433648484	0.9400187469	0.9432524344	0.9433650219	0.9609021785	0.9600559865	0.9609240279	0.9609023769
0.90	0.9607649133	0.9581159096	0.9607817046	0.9607650173	0.9730078657	0.9723573730	0.9730343160	0.9730082160
0.95	0.9796100255	0.9780500563	0.9796770290	0.9796103729	0.9860254404	0.9856527331	0.9860460201	0.9860261076
1	1.0000000000	1.0000000000	1.0000000000	1.0000000000	1.0000000000	1.0000000000	1.0000000000	1.0000000000