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Theory and Modern Applications

Table 15 Computational complexity for the HEGM and C–N high-order finite difference method method

From: A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

Methods

Per iteration

Addition/subtraction

Multiplication/division

C–N

\((35+8(k-1))m^{2}\)

\((13+4(k-1))m^{2} \)

HEGM

\((34+8(k-1))(m-1)^{2}\) + (35 + 8(k − 1))(2m − 1)

\((10+4(k-1))(m-1)^{2}\) + (13 + 4(k − 1))(2m − 1)