( x P , t P )

Analytical

Solution

Approximate Solution

Error

UM

MM l = 0.1

MM l = 0.01

UM

MM l = 0.1

MM l = 0.01

(0.3,1)

0.80901701

0.74822618

0.80235214

0.80895047

7.514159%

0.823823%

0.008225%

(0.4,1)

0.95105653

0.82247964

0.94322150

0.95097830

13.519374%

0.823823%

0.008225%

(0.5,1)

1.00000000

0.78539815

0.99176177

0.99991775

21.460185%

0.823823%

0.008225%