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Table 2 Comparison of the DTM and exact results for different approximations order

From: A quasi-analytical solution of homogeneous extended surfaces heat diffusion equation

 

mb = 0.6

mb = 1.4

 

Exact

DTM

Exact

DTM

ζ

 

n = 1

2

 

n = 1

2

3

4

0.0

0.8436

0.0039

0

0.4649

0.0401

0.0024

0.0001

0

0.1

0.8451

0.0039

0

0.4695

0.0405

0.0024

0.0001

0

0.2

0.8496

0.0039

0

0.4833

0.0416

0.0024

0.0001

0

0.3

0.8573

0.0039

0

0.5065

0.0431

0.0026

0.0001

0

0.4

0.8680

0.0039

0

0.5397

0.0445

0.0027

0.0001

0

0.5

0.8818

0.0038

0

0.5836

0.0452

0.0029

0.0001

0

0.6

0.8988

0.0036

0

0.6388

0.0444

0.0030

0.0001

0

0.7

0.9191

0.0032

0

0.7066

0.0409

0.0030

0.0001

0

0.8

0.9426

0.0025

0

0.7883

0.0335

0.0027

0.0001

0

0.9

0.9696

0.0015

0

0.8855

0.0205

0.0018

0.0001

0

1.0

1.0000

0.0000

0

1.0000

0.0000

0.0000

0.0000

0