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A Solution Domain Boundary Analysis Method and Its Application in Parameter Spaces of Nonlinear Gear System
control parameter space solution domain boundary analysis
2011/8/4
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...
Identification of the solution of the Burgers equation on a finite interval via the solution of an appropriate stochastic control problem
Stochastic Control Theory Lagrangain Brownian motion
2010/9/26
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...
Algebraically explicit analytical solution of three-dimensional hyperbolic heat conduction equation
Hyperbolic heat conduction Relaxation time
2010/11/25
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...
Application of He's amplitude - frequency formulation for periodic solution of nonlinear oscillators
Nonlinear Oscillators He’s Amplitude-Frequency Formulation
2010/11/25
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...
Solution of fractional order Rayleigh-Stokes equations
Rayleigh-Stokes problem Laplace transform
2010/9/27
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...
Homotopy analysis solution of micro-polar flow in a porous channel with high mass transfer
Homotopy analysis method (HAM) micropolar fluid
2010/9/27
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...