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The spin-up of land models to steady state of coupled carbonnitrogen processes is computationally so costly that it becomes a bottleneck issue for global analysis. In this study, we introduced a semi...
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...
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...
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...
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...
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...
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...
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...
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...
In this paper, a perturbing nonlinear Schrodinger equation is studied under limited time interval through homogeneous boundary conditions and real initial condition. The analytical solution for the li...
In this paper, a new method is presented to obtain the analytical solution of singular linear periodic boundary value problems in the reproducing kernel space. The analytical solution is represented i...
2007Vol.47No.4pp.725-727DOI: An Analytical Solution to the Model for Single Three-Level Trapped Ion Driven by External Fields WANG Zhong-Jie and CHEN Feng Department of ...
2002Vol.37No.5pp.531-534DOI: Analytical Solution for Single-Mode Time-Dependent Oscillator HOU Guang,1 XU Xiu-Wei,2 and ZHANG Yong-De1,3 1 Department of Modern Physics, ...
2005Vol.43No.6pp.1099-1104DOI: Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential SUN Xiao-Jun,1,2 LU Xiao-Xia,1 YAN Yu-Liang,1 DUAN Jun-Feng,1 and ZHA...
The paper presents a new analytical method for extracting the diode ideality factor of a p-n junction device using Lambert W-function model and the dark current-voltage data. The extracted values are ...

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