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Homotopy perturbation method for Chebyshev and Legendre equations
Homotopy Perturbation Method Ordinary Differential Equations
2010/9/26
In this paper, we implement the Homotopy Perturbation Method to obtain the solutions of Chebyshev and Legendre differential equations. The exact solution will be find by constructing an efficient homo...
Homotopy perturbation Pade technique for constructing approximate and exact solutions of Boussinesq equations
Homotopy perturbation method Padé approximants
2010/9/13
Based on the homotopy perturbation method (HPM) and Padé approximants (PA), explicit approximate and exact solutions are obtained for cubic Boussinesq equations. HPM is used for analytic treatment to ...
A stability study of the active disturbance rejection control problem by a singular perturbation approach
active disturbance rejection control singular perturbation
2010/9/10
We study the stability characteristic of the active disturbance rejection control for a nonlinear, time-varying plant. To this end, the closed-loop system is reformulated in a form that allows the sin...
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...
Homotopy perturbation method for computing eigenelements of Sturm-Liouville two point boundary value problems
Homotopy Perturbation Method Sturm-Liouville problem
2010/9/14
In this work we consider the application of the Homotopy Perturbation Method (HPM) to compute the eigenvalues and the corresponding normalized eigenfunction of Sturm-Liouville problem. To illustrate t...
Application of homotopy perturbation method to some nonlinear problems
Homotopy perturbation method Burgers equation
2010/9/15
In this paper, we obtain the series solutions to three well known equations arising in different fields of science. We apply homotopy perturbation method (HPM) to Burgers equation, the regularized lon...
The use of variational iteration method and homotopy perturbation method for Painleve equation I
Painlev`e equations Variational Iteration Method
2010/9/15
In this study, Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) are employed to approximate solutions of Ppainlev´e equation I, with it’s initial conditions. VIM based o...
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...
Exact solutions for systems of Volterra integral equations of the first kind by homotopy perturbation method
Systems of Volterra integral equations Homotopy perturbation method
2010/9/14
In this article, the homotopy perturbation method is proposed to solve systems of Volterra integral equations of the first kind. Theoretical proposes are presented briefly, so that this paper can be r...
Application of homotopy-perturbation method for solving gas dynamics equation
The homotopy-perturbation method Gas Dynamics equation
2010/9/14
In this paper applies the He’s homotopy perturbation method (HPM)to obtaining solution of nonlinear dynamic model.The nonlinear considered model is the Gas Dynamics equation.
WCDMA uplink system capacity: A singular perturbation approach
Singular W-CDMA singular perturbation Lyapunov
2010/9/13
We consider a WCDMA system with two types of calls: real time (RT) calls that have dedicated resources, and data on real time (BE) calls (i.e. best effort) that share system capacity. We consider rese...
Arc perturbation algorithms for optical network design
Graph algorithms optical network optimization
2010/9/15
Today’s network planners are faced with the challenge to design highly complex optical networks. In this paper we describe and study the performance of two new combinatorial algorithms based on the lo...
In this note we present a perturbation bound of unitarypolar factors. We add the orthogonal projectors into the bound; asa result, a uniform perturbation bound of $Q$-factors is obtained,and the previ...
Error of One-leg Methods for Singular Perturbation Problems with Delays
singular perturbation problems delays interpolation
2007/12/11
This paper is concerned with the error behavior of one-leg methods applied to some classes of one-parameter multiple stiff singularity perturbed problems with delays. We derive the global error estima...
EXPONENTIAL STABILITY OF A PARTIAL DIFFERENCE EQUATION WITH NONLINEAR PERTURBATION
Partial difference equation s
2007/12/10
Stability criteria are established for partial difference equations with nonlinear pertubations.