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A semi-analytical solution to accelerate spin-up of a coupled carbon and nitrogen land model to steady state
The spin model The steady state coupling Ecosystems Carbon transfer
2014/12/10
The spin-up of land models to steady state of coupled carbon–nitrogen processes is computationally so costly that it becomes a bottleneck issue for global analysis. In this study, we introduced a semi...
Comparison between Analytical Solution and Experimental Setup of a Short Long Ytterbium Doped Fiber Laser
Ytterbium Doped Fiber ASE Rate Equation Runge-Kutta
2013/1/30
In this research, Amplified Spontaneous Emission (ASE) spectrum characteristics for a highly Yb3+ doped glass fiber with different pump powers and pump wavelengths are scrutinized. ASE spectral profil...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Theoretical equation of gas desorption of particle coal under the non-uniform pressure condition and its analytical solution
Particle coal The theoretical equation of gas desorption The non-uniform pressure condition Analytical solution
2012/3/31
Based on the second Fick’s law, the theoretical equation of gas desorption of particle coal under the nonuniform pressure condition was developed in this paper. The analytical solution of the theoreti...
Analytical solution for solute transport along and against time dependent source concentration in homogeneous finite aquifers
Aquifer Solute transport Contaminant concentration
2010/9/26
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...
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...
Analytical Solution of Covariance Evolution for Irregular LDPC Codes
Analytical Solution Covariance Evolution Irregular LDPC Codes
2010/11/12
A scaling law developed by Amraoui et al. is a powerful technique to estimate the block error probability of finite length low-density parity-check (LDPC) codes. Solving a system of differential equa...
Analytical solution to position dependent mass Schrödinger equation
Analytical solution position dependent Schrö dinger equation
2010/11/11
Using a recently developed technique to solve Schr\"odinger equation for constant mass, we studied the regime in which mass varies with position i.e position dependent mass Schr\"odinger equation(PDMS...
Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation
Fractional Fourier law Fractional heat conduction equation Spherical coordinate system The separation of variables Mittag–Leffler function
2012/2/28
In this paper, using the fractional Fourier law,we obtain the fractional heat conduction equation with a time-fractional derivative in the spherical coordinate system. The method of variable separatio...
Symplectic system based analytical solution for bending of rectangular orthotropic plates on Winkler elastic foundation
Orthotropic plate Symplectic space Winkler elastic foundation Analytical solution
2012/2/28
This paper analyses the bending of rectangular orthotropic plates on a Winkler elastic foundation. Appropriate definition of symplectic inner product and symplectic space formed by generalized displac...
A semi-analytical solution for the mean wind profile in the Atmospheric Boundary Layer:the convective case
semi-analytical solution mean wind profile Atmospheric Boundary Layer convective case
2010/3/5
A novel methodology to derive the average wind profile from the Navier-Stokes equations is presented. The development employs the Generalized Integral Transform Technique (GITT), which combines series...
Approximate analytical solution of 3D fractional microscale heat equation using modified homotopy perturbation method
Homotopy Perturbation Method (HPM) Three-dimensional heat transport equation heat flux gradient
2010/9/14
In the present article, we use modified homotopy perturbation method (HPM) to find approximate analytical solution of three-dimensional time fractional microscale heat transport equation. This transpo...
New approach to mixture of the Adomian decomposition and homotopy perturbation method for approximate and analytical solution of integral equations and fractional differential equations
Homotopy perturbation method Adomian Decomposition method
2010/9/17
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution...
Analytical Solution of Nonlinear Strain Hardening Preheated Pressure Tube
Pressurized tube Stress analysis Elastoplasticity Nonlinear hardening Tresca’s criterion
2009/10/9
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...
An analytical solution for the estimation of the critical available soil water fraction for a single layer water balance model under growing crops
soil water single layer water balance model growing crops
2009/6/5
In the framework of simplified water balance models devoted to irrigation scheduling or crop modelling, the relative transpiration rate (the ratio of actual to maximal transpiration) is assumed to dec...