32 citations · 118 across the 6 of their papers we have counts for
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math.NA2016★ 19 cited
On the homotopy analysis method for backward/forward-backward stochastic differential equations
Xiaoxu Zhong, Shijun Liao
In this paper, an analytic approximation method for highly nonlinear equations, namely the homotopy analysis method (HAM), is employed to solve some backward stochastic differentia…
math.AP2016★ 23 cited
Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure (II): Equations in Integral Form
Xiaoxu Zhong, Shijun Liao
In this paper, the homotopy analysis method (HAM) is successfully applied to solve the Von Karman's plate equations in the integral form for a circular plate with the clamped bound…
math.AP2016★ 30 cited
Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure --- Equations in Differential Form
Xiaoxu Zhong, Shijun Liao
The large deflection of a circular thin plate under uniform external pressure is a classic problem in solid mechanics, dated back to Von K{á}rm{á}n \cite{Karman}. {This problem is…