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Mastering the influence laws of parameters on the solution structure of nonlinear systems is the basis of carrying out vibration isolation and control. Many researches on solution structure and bifurc...
Mastering the influence laws of parameters on the solution structure of nonlinear systems is the basis of carrying out vibration isolation and control. Many researches on solution structure and bifurc...
A solute transport equation is analytically solved to predict the contaminant concentration distribution along and against transient groundwater flow in finite aquifer. The horizontal dispersion along...
Solution of the inhomogeneous Burgers equation with given homogeneous Initial/Dirichlet boundary conditions are identified by a stochastic control problem. Our approach consists of identifying the sol...
In this paper, the three-dimensional hyperbolic effect subjected to a cosine heat flux boundary condition is carried out. Equations in rectangular coordinates are solved. Analytical solution with meth...
This paper presents a new approach for solving approximate analytical higher order solutions for strong nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. The system is conser...
In this paper, a powerful analytical method, called He’s amplitude-frequency formulation (HAFF) is used to obtain a periodic solution of nonlinear oscillators differential equation that governs the os...
In this article, we use an efficient analytical method called homotopy analysis method (HAM) to derive an approximate solution of stagnation flow on a moving solid boundary. Actually, we solved the Na...
The analytical solution of a nonlinear strain hardening preheated tube subjected to internal pressure is presented. Ast ate of generalized plane strain, small deformations, and temperature gradients a...
Fourier sine transform and Laplace transform are used for solving the Stokes’ first problem and the Rayleigh-Stokes problem for a generalized second grade fluid with fractional derivative. Exact solut...
In this Letter, the problem of two-dimensional flow of a micropolar fluid in a porous channel with high mass transfer is presented and the homotopy analysis method (HAM) is employed to compute an appr...
The paper discusses a 3-D numerical solution of the inverse boundary problem for a continuous casting process of an aluminium alloy. Since the verified information on the heat flux distribution is cru...
Analytical solutions of the Navier-Stokes equations for laminar fully developed flow in a cylindrical annulus for decaying swirling flows have been derived for narrow- gap geometry. Expressions are d...

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