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- Shijun Liao
- Applied Mathematics and Computation
- 2004

A powerful, easy-to-use analytic tool for nonlinear problems in general, namely the homotopy analysis method, is further improved and systematically described through a typical nonlinear problem,â€¦ (More)

- Shijun Liao
- 2005

The boundary-layer flows over a stretched impermeable wall are solved by means of an analytic technique, namely the homotopy analysis method. Two branches of solutions are found. The first agreesâ€¦ (More)

- Shijun Liao
- 2010

In this paper, an optimal homotopy-analysis approach is described by means of the nonlinear Blasius equation as an example. This optimal approach contains at most three convergence-control parametersâ€¦ (More)

- Saeid Abbasbandy, Y. Tan, Shijun Liao
- Applied Mathematics and Computation
- 2007

In this paper, we present an efficient numerical algorithm for solving nonlinear algebraic equations based on Newtonâ€“ Raphson method and homotopy analysis method. Also, we compare homotopy analysisâ€¦ (More)

- Shijun Liao, Shijun Liao
- 2006

An analytic technique, namely, the homotopy analysis method, is applied to give series solution of the unsteady boundary-layer flows over an impermeable stretching plate. Different from all previousâ€¦ (More)

- Shijun Liao
- 2004

In this paper, the basic ideas of a new kind of analytical technique, namely the Homotopy Analysis Method (HAM), are briefly described. Different from perturbation techniques, the HAM does not dependâ€¦ (More)

- Shijun Liao
- Applied Mathematics and Computation
- 2003

In this paper, a newly proposed analytical scheme by the authors namely the improved di erential transform method is employed to provide an explicit series solution to the Thomas Fermi equation. Theâ€¦ (More)

- Shuicai Li, Shijun Liao
- Applied Mathematics and Computation
- 2005

- Shijun Liao
- Applied Mathematics and Computation
- 2003

An reliable, ease-to-use analytic algorithm is provided for Laneâ€“Emden type equation which models many phenomena in mathematical physics and astrophysics. This algorithm logically contains theâ€¦ (More)

- Hongliang Peng, Zaiyong Mo, +6 authors Bingqing Zhang
- 2013

Proton exchange membrane fuel cells are promising candidates for a clean and efficient energy conversion in the future, the development of carbon based inexpensive non-precious metal ORR catalyst hasâ€¦ (More)