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Theory and Modern Applications

Table 10 \(L_{\infty }\), \(L_{2}\) and RMS errors for \(p=100\), \(\sigma = \frac{1}{12}\), \(k=0.0001\), \(t=1\) for Example 4

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

n

\(L_{\infty }\)

\(L_{2}\)

RMS

40

5.4535(−2)

2.0145(−4)

3.2258(−2)

80

8.9607(−3)

4.8109(−2)

5.4127(−3)

120

3.5368(−3)

2.3639(−2)

2.1670(−3)

160

2.5034(−3)

1.8749(−2)

1.4869(−3)

200

2.3476(−3)

1.8440(−2)

1.3072(−3)