Homotopy perturbation method: a new nonlinear analytical technique

By Ji-Huan He. Applied Mathematics and Computation, 2003

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Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations (2008, neutral): “He [11–13].”
On the local fractional wave equation in fractal strings (2019, neutral): “p :v0 ξ; η ð Þ 1⁄4 η β Γ 1þ β ð Þβ ξ β ; p(1) :v1 ξ; η ð Þ 1⁄4 η 3β Γ 1þ 3β ð Þβ ξ β ; p(2) :v2 ξ; η ð Þ 1⁄4 η 5β Γ 1þ 5β ð Þβ ξ β ; ⋮ (26)”
New class of solutions for water infiltration problems in unsaturated soils (2010, methodology): “In the present research, two analytical methods known as the homotopy perturbation method (HPM) (He 1999 , 2003 , Ganji and Sadighi 2006 , Barari et al .”
HYPERBOLIC TYPE SOLUTIONS FOR THE COUPLE BOITI-LEON-PEMPINELLI SYSTEM (2020, methodology): “Some of these are a new sub equation method [1], homotopy analysis method [2, 3], homotopy-Pade method [4], homotopy perturbation method [5, 6], (G/G)-expansion method [7, 8], modified variational iteration algorithm-I [9, 10, 11], sub equation method [12], Variational iteration method with an auxil”
A new technique of using homotopy analysis method for solving high‐order nonlinear differential equations (2011, methodology): “which is used mostly in the homotopy-perturbation method [22].”