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Theory and Modern Applications

Table 5 \(L_{\infty }\), \(L_{2}\) and RMS errors for \(p=25\), \(\sigma = \frac{1}{12}\), \(t=1\), \(\kappa =0.5\), \(L=7\), \([a,b]=[0,40]\) for Example 3

From: A new non-polynomial spline method for solution of linear and non-linear third order dispersive equations

n

k = 0.001

k = 0.0001

\(L_{\infty }\)

\(L_{2}\)

RMS

\(L_{\infty }\)

\(L_{2}\)

RMS

40

6.1192(−5)

1.1111(−4)

1.7793(−5)

6.7755(−6)

1.3143(−5)

2.1045(−6)

80

7.3626(−5)

1.7866(−4)

2.0101(−5)

7.3800(−6)

1.7870(−5)

2.0106(−6)

120

6.5572(−5)

1.9993(−4)

1.8327(−5)

6.5602(−6)

1.9994(−5)

1.8328(−6)

160

5.1806(−5)

2.1081(−4)

1.6718(−5)

5.1798(−6)

2.1082(−5)

1.6719(−6)

200

4.8556(−5)

2.5697(−4)

1.8216(−5)

4.8559(−6)

2.5697(−5)

1.8216(−6)