Determination of optimal convergence-control parameter value in homotopy analysis method

Solution of the Thomas–Fermi equation with a convergent approach

(2012) M. Turkyilmazoglu   Communications in Nonlinear Science and Numerical Simulation

Analytical method for the construction of solutions to the Föppl–von Kármán equations governing deflections of a thin flat plate

(2012) Robert A. Van Gorder   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Numerical and analytical solutions for the flow and heat transfer near the equator of an MHD boundary layer over a porous rotating sphere

(2011) M. Turkyilmazoglu   INTERNATIONAL JOURNAL OF THERMAL SCIENCES

Some issues on HPM and HAM methods: A convergence scheme

(2011) M. Turkyilmazoglu   MATHEMATICAL AND COMPUTER MODELLING

The homotopy analysis method for multiple solutions of nonlinear boundary value problems

(2009) S. Abbasbandy et al.   Communications in Nonlinear Science and Numerical Simulation

A new spectral-homotopy analysis method for solving a nonlinear second order BVP

(2009) S.S. Motsa et al.   Communications in Nonlinear Science and Numerical Simulation

On the homotopy solution for Poiseuille flow of a fourth grade fluid

(2009) T. Hayat et al.   Communications in Nonlinear Science and Numerical Simulation

On the relationship between the homotopy analysis method and Euler transform

(2009) Shijun Liao   Communications in Nonlinear Science and Numerical Simulation

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

(2009) Zhao Niu et al.   Communications in Nonlinear Science and Numerical Simulation

An optimal homotopy-analysis approach for strongly nonlinear differential equations

(2009) Shijun Liao   Communications in Nonlinear Science and Numerical Simulation

An efficient analytical approach for solving fourth order boundary value problems

(2009) Songxin Liang et al.   COMPUTER PHYSICS COMMUNICATIONS

Approximate solutions to a parameterized sixth order boundary value problem

(2009) Songxin Liang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Two-parameter homotopy method for nonlinear equations

(2009) Yongyan Wu et al.   NUMERICAL ALGORITHMS

An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate

(2008) Vasile Marinca et al.   APPLIED MATHEMATICS LETTERS

Notes on the homotopy analysis method: Some definitions and theorems

(2008) Shijun Liao   Communications in Nonlinear Science and Numerical Simulation

Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer

(2008) Vasile Marinca et al.   INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER

Homotopy solution for nonlinear differential equations in wave propagation problems

(2008) Yongyan Wu et al.   WAVE MOTION

Homotopy analysis method for quadratic Riccati differential equation

(2006) Yue Tan et al.   Communications in Nonlinear Science and Numerical Simulation