Control of error in the homotopy analysis of semi-linear elliptic boundary value problems

Exact first integrals for a Lane–Emden equation of the second kind modeling a thermal explosion in a rectangular slab

(2011) Robert A. Van Gorder   NEW ASTRONOMY

Analytical solutions to a generalized Drinfel’d–Sokolov equation related to DSSH and KdV6

(2010) Erik Sweet et al.   APPLIED MATHEMATICS AND COMPUTATION

Analytical solutions to a quasilinear differential equation related to the Lane–Emden equation of the second kind

(2010) Robert A. Van Gorder   CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY

An elegant perturbation solution for the Lane–Emden equation of the second kind

(2010) Robert A. Van Gorder   NEW ASTRONOMY

Homotopy based solutions of the Navier–Stokes equations for a porous channel with orthogonally moving walls

(2010) Hang Xu et al.   PHYSICS OF FLUIDS

Implicit differential equation arising in the steady flow of a Sisko fluid

(2009) F. Talay Akyildiz et al.   APPLIED MATHEMATICS AND COMPUTATION

On the selection of auxiliary functions, operators, and convergence control parameters in the application of the Homotopy Analysis Method to nonlinear differential equations: A general approach

(2009) Robert A. Van Gorder et al.   Communications in Nonlinear Science and Numerical Simulation

Nano boundary layers over stretching surfaces

(2009) Robert A. Van Gorder et al.   Communications in Nonlinear Science and Numerical Simulation

Purely analytic solutions of the compressible boundary layer flow due to a porous rotating disk with heat transfer

(2009) M. Turkyilmazoglu   PHYSICS OF FLUIDS

Homotopy analysis method for singular IVPs of Emden–Fowler type

(2008) A. Sami Bataineh et al.   Communications in Nonlinear Science and Numerical Simulation

Notes on the homotopy analysis method: Some definitions and theorems

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

Series solutions of nano boundary layer flows by means of the homotopy analysis method

(2008) Jun Cheng et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Analytic and numerical solutions to the Lane–Emden equation

(2008) Robert A. Van Gorder et al.   PHYSICS LETTERS A

A perturbation solution for forced convection in a porous-saturated duct

(2006) K. Hooman   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS