X

Numerical Solution in

Our method at

$h=0.125$

Exact Solution at $h=0.125$

Error

Numerical Solution in Our method at $h=0.0125$

Exact Solution at $h=0.0125$

Error

0

0

0

0

0

0

0

0.125

0.024934

0.024934

$3.89579\times {10}^{-11}$

0.024934

0.024934

$8.68102\times {10}^{-11}$

0.25

0.049480

0.049480

$2.37202\times {10}^{-9}$

0.049480

0.049480

$2.68466\times {10}^{-9}$

0.375

0.073253

0.073253

$1.83415\times {10}^{-8}$

0.073253

0.073253

$1.92163\times {10}^{-8}$

0.5

0.095881

0.095881

$7.26168\times {10}^{-8}$

0.095881

0.095881

$7.49309\times {10}^{-8}$

0.625

0.117008

0.117008

$2.01662\times {10}^{-7}$

0.117008

0.117008

$2.06392\times {10}^{-7}$

0.75

0.1363

0.1363

$4.44143\times {10}^{-7}$

0.1363

0.1363

$4.53178\times {10}^{-7}$

0.875

0.153452

0.153452

$8.29786\times {10}^{-7}$

0.153452

0.153452

$8.45282\times {10}^{-7}$

1

0.168191

0.16819

$1.3665\times {10}^{-6}$

0.168191

0.16819

$1.39175\times {10}^{-6}$

1.125

0.18028

0.180278

$2.03637\times {10}^{-6}$

0.18028

0.180278

$2.07483\times {10}^{-6}$

1.25

0.189525

0.189522

$2.79641\times {10}^{-6}$

0.189525

0.189522

$2.85251\times {10}^{-6}$

1.375

0.195777

0.195773

$3.59097\times {10}^{-6}$

0.195777

0.195773

$3.66902\times {10}^{-6}$

1.5

0.198934

0.198929

$4.36561\times {10}^{-6}$

0.198934

0.198929

$4.47017\times {10}^{-6}$

1.625

0.198945

0.19894

$5.08301\times {10}^{-6}$

0.198945

0.19894

$5.21817\times {10}^{-6}$

1.75

0.195811

0.195805

$5.73169\times {10}^{-6}$

0.195811

0.195805

$5.90079\times {10}^{-6}$

1.875

0.189581

0.189575

$6.32606\times {10}^{-6}$

0.189581

0.189575

$6.53163\times {10}^{-6}$

2

0.180357

0.18035

$6.89847\times {10}^{-6}$

0.180357

0.18035

$7.14149\times {10}^{-6}$