Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Errors and convergence orders of scheme (43)–(44) and scheme (45)–(46) in temporal direction (Example 1)

From: Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term

τ	Scheme (43)–(44)			Scheme (45)–(46)
τ	\(\\|e^{N} \\|_{L^{2}}\)	Order	CPU time	\(\\|e^{N} \\| _{L^{2}}\)	Order	CPU time
1/10	0.1225	–	0.1882 s	0.1222	–	0.0129 s
1/20	0.0634	0.9502	0.4328 s	0.0632	0.9512	0.0411 s
1/40	0.0326	0.9596	1.0168 s	0.0324	0.9639	0.0580 s
1/80	0.0167	0.9650	2.6598 s	0.0164	0.9823	0.1016 s
1/160	0.0085	0.9743	8.4336 s	0.0082	1.0000	0.2387 s

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