$\tau \left(\text{s}\right)$

$x\left(\text{cm}\right)$

1

10

20

50

$T\left(x,\tau \right)$

(˚C)

Correct solution

Equation

(38)

$T\left(x,\tau \right)$

(˚C)

Approximate solution

Equation

(53)

$T\left(x,\tau \right)$

(˚C)

Correct solution

Equation

(38)

$T\left(x,\tau \right)$

(˚C)

Approximate solution

Equation

(53)

$T\left(x,\tau \right)$

(˚C)

Correct solution

Equation

(38)

$T\left(x,\tau \right)$

(˚C)

Approximate solution

Equation

(53)

$T\left(x,\tau \right)$

(˚C)

Correct solution

Equation

(38)

$T\left(x,\tau \right)$

(˚C)

Approximate solution

Equation

(53)

0.0

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

2.0

13.97

14.71

6.62

6.89

2.89

2.97

0.24

0.24

4.0

22.61

22.06

10.71

10.34

4.67

4.46

0.34

0.36

6.0

22.62

22.06

10.72

10.34

4.67

4.46

0.39

0.36

8.0

14.00

14.71

6.63

6.89

2.89

2.97

0.24

0.24

10.0

0.04

0.00

0.02

0.00

0.01

0.00

0.00

0.00