Theory and Modern Applications
From: On the approximation of time-fractional telegraph equations using localized kernel-based method
Our method | x | M = 15 | M = 30 | M = 40 | M = 50 |
---|---|---|---|---|---|
 | 0 | 0 | 0 | 0 | 0 |
 | 0.1 | 9.7426e−004 | 2.4335e−005 | 1.5203e−005 | 4.0419e−006 |
 | 0.2 | 1.7345e−003 | 4.0736e−005 | 2.9554e−005 | 9.7154e−006 |
 | 0.3 | 2.2774e−003 | 5.2554e−005 | 3.9710e−005 | 1.3668e−005 |
 | 0.4 | 2.6032e−003 | 5.9667e−005 | 4.5773e−005 | 1.6012e−005 |
 | 0.5 | 2.7118e−003 | 6.2035e−005 | 4.7793e−005 | 1.6794e−005 |
 | 0.6 | 2.6032e−003 | 5.9666e−005 | 4.5773e−005 | 1.6012e−005 |
 | 0.7 | 2.2774e−003 | 5.2553e−005 | 3.9711e−005 | 1.3669e−005 |
 | 0.8 | 1.7345e−003 | 4.0737e−005 | 2.9553e−005 | 9.7145e−006 |
 | 0.9 | 9.7426e−004 | 2.4337e−005 | 1.5201e−005 | 4.0403e−006 |
 | 1 | 0 | 0 | 0 | 0 |
In [38] | x | m = 5 | m = 7 | m = 10 | m = 15 |
 | 0 | 0 | 0 | 0 | 0 |
 | 0.1 | 1.6276e−003 | 1.6932e−004 | 2.9057e−004 | 6.8187e−005 |
 | 0.2 | 2.4790e−003 | 1.0916e−003 | 3.7898e−004 | 8.7378e−005 |
 | 0.3 | 2.3211e−003 | 1.0749e−003 | 3.8165e−004 | 8.8787e−005 |
 | 0.4 | 2.1772e−003 | 1.0102e−003 | 3.6413e−004 | 8.4142e−005 |
 | 0.5 | 2.1507e−003 | 9.9270e−004 | 3.5473e−004 | 8.2186e−005 |
 | 0.6 | 2.1772e−003 | 1.0102e−003 | 3.6413e−004 | 8.4142e−005 |
 | 0.7 | 2.3211e−003 | 1.0749e−003 | 3.8165e−004 | 8.8787e−005 |
 | 0.8 | 2.4790e−003 | 1.0916e−003 | 3.7898e−004 | 8.7378e−005 |
 | 0.9 | 1.6276e−003 | 1.6932e−004 | 2.9057e−004 | 6.8187e−005 |
 | 1 | 0 | 0 | 0 | 0 |