A one-step optimal homotopy analysis method for nonlinear differential equations

Beyond Perturbation: Introduction to the Homotopy Analysis Method

S. A. Sherif · Applied Mechanics Reviews · 2004 · 2.7K citations · Full text

Natural Sciences, Aerospace Engineering, Mathematics +13

Notes on the homotopy analysis method: Some definitions and theorems

Shijun Liao · Communications in Nonlinear Science and Numerical Simulation · 2008 · 868 citations

Natural Sciences, Mechanical Engineering, Physics +12

The application of homotopy analysis method to nonlinear equations arising in heat transfer

S. Abbasbandy · Physics Letters A · 2006 · 676 citations

Engineering, Mechanical Engineering, Physics +14

An explicit, totally analytic approximate solution for Blasius’ viscous flow problems

Shijun Liao · International Journal of Non-Linear Mechanics · 1999 · 641 citations

Natural Sciences, Computational Engineering, Differential Equations +10

A General Approach to Obtain Series Solutions of Nonlinear Differential Equations

Shijun Liao, Yue Gang Tan · Studies in Applied Mathematics · 2007 · 446 citations · Full text

Natural Sciences, Mathematics, Physics +12