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Theory and Modern Applications

Table 6 Comparison of \(L_{\infty }\) error with [5, 15, 23, 27] for \(p=30\), \(\sigma =\frac{1}{12}\), \(\kappa =0.5\), \(L=7\), \(n=200\), \([a,b]=[0,40]\) for Example 3

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

t

Our method

IMQQI [23]

Our method

[5]

MQQI [27]

MQ [15]

IMQ [15]

k = 0.01

k = 0.001

1

4.2123(−4)

1.6728(−4)

4.2120(−5)

1.8048(−5)

1.5259(−3)

1.7923(−5)

6.9584(−5)

2

4.2238(−4)

2.3758(−4)

4.2235(−5)

3.0373(−5)

2.8677(−3)

3.0151(−5)

1.9553(−4)

3

4.2123(−4)

2.3758(−4)

4.2120(−5)

4.0088(−5)

4.1428(−3)

3.9839(−5)

3.8286(−3)

4

4.2237(−4)

3.1348(−4)

4.2234(−5)

4.8347(−5)

5.3859(−3)

4.7835(−5)

5.9098(−3)

5

4.2126(−4)

3.4136(−4)

4.2122(−5)

5.6090(−5)

6.8141(−3)

5.4599(−5)

8.3667(−3)