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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...
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...
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...
On The Analytical Solution of Perturbative Nonlinear Schrodinger Equations with Real Initial and Homogeneous Boundary Conditions
Nonlinear Schrodinger equation Perturbation Eigenfunction expansion
2008/11/10
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...
Analytical solution of singular linear periodic boundary value problem
Analytical solution Singular periodic boundary value problem
2010/9/14
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...