Variational iteration method for fractional heat- and wave-like equations

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A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients (2016, methodology): “Sci. 2016, 39 1765–1779 1 7 7 5 VIM, Variational iteration method; ADM, Adomian decomposition method; S-LCM, Sinc–Legendre spectral collocation method.”
Fractal heat conduction problem solved by local fractional variation iteration method (2013, methodology): “In case of fractal objects the fractal Fourier law should be used [5-7] in contrast to the continuous case when both the classical and the fractional versions are valid [8-18].”
Variational iteration method for the Burgers' flow with fractional derivatives—New Lagrange multipliers (2013, unknown): “[16–20] applied the VIM to the above equation and suggested a variational iteration formula unþ1 1⁄4 un þ R t 0 kðt; sÞð0D a sun þ R1⁄2un þ N1⁄2un f ðsÞÞds; 0 < t; 0 < a 6 1; kðt; sÞ 1⁄4 1; ( ð2Þ”
Gegenbauer spectral method for time‐fractional convection–diffusion equations with variable coefficients (2015, methodology): “Sinc–Legendre method (n D 6) GSM (M D 3) t x VIM ADM m D 15 N D 10 N D 14 0.25 0.3 1.293 e-01 1.346 e-01 1.312 e-01 0.1312579 0.1312847 0.6 5.175 e-01 5.385 e-01 4.957 e-01 0.4967283 0.4966314 0.9 1.164 e00 1.211 e00 1.055 e-01 1.0591932 1.0591091 0.5 0.3 1.695 e-01 1.795 e-01 1.685 e-01 0.1689450 0”