[PDF] Top 20 Solution of the Linear and Non-linear Partial Differential Equations Using Homotopy Perturbation Method
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Solution of the Linear and Non-linear Partial Differential Equations Using Homotopy Perturbation Method
... paper, linear and nonlinear partial differential equations are solved by using Homotopy Perturbation ...Analytical solution obtained by this method is ... See full document
7
Unsteady Similarity Solution of Free convective boundary layer flow over porous plate with variable properties considering viscous dissipation and Slip Effect
... Abstract: The combined effects of viscous dissipation and slip effect on the momentum and thermal transport for the unsteady boundary layer flow over porous plate have been ... See full document
6
Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM)
... This method is based on a interesting property called homotopy, a fundamental concept of differential geometry and topology (Taiwo et ...2012). Homotopy Analysis Method ... See full document
19
Analytical solutions for the fractional Fisher's equation
... Fractional partial differential equations (FPDEs) have recently aroused considerable interest in mathematics and its ...biological and chemical processes [16, 18, ...rithms, and ... See full document
23
J. Aerosp. Technol. Manag. vol.9 número4
... Decomposition Method (ADM) (Adomian 1994) is a recursive methodology which has been used in several scientiic areas to solve linear and non-linear ordinary and partial ... See full document
14
Application of He's homotopy perturbation method for solving nonlinear wave-like equations with variable coefficients
... paper, the HPM has been successfully employed to obtain the approximate analytical solutions of the nonlinear wave-like equations with variable ...than the ADM. Figs. 1 to 11 ... See full document
15
HUNTING PHENOMENON STUDY OF RAILWAY CONVENTIONAL TRUCK ON TANGENT TRACKS DUE TO CHANGE IN RAIL WHEEL GEOMETRY
... model of railway conventional truck is presented with 12 degrees of freedom equations of ...motion. The presented dynamic system consists of conventional truck attached with two ... See full document
15
Lat. Am. j. solids struct. vol.12 número5
... collects the relevant boundary element equations for linear and non-linear bending as well as buckling analysis of moderately thick ...plates. The plate models ... See full document
32
Homotopy analysis method for mixed convective boundary layer flow of a nanofluid over a vertical circular cylinder
... analysis of the steady axisymmetric mixed convective boundary layer flow of a nanofluid over a vertical circular cylinder results in a set of coupled non-linear ordi- nary ... See full document
13
On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations
... problem of approximation of a function by interpolation on an interval paved way for the spectral methods which are found to be successful for the numerical solution of ordinary ... See full document
5
The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM)
... In the recent years, there is a great research in dealing with the nonlinear problems with perturbation ...Decomposition Method is proven to be one of those effective and ... See full document
14
Adaptive Collocation Methods for the Solution of Partial Differential Equations
... problems using analytic procedures. In these cases (usually non-linear problems), one has to resort to numerical analysis, the study of algorithms, ...discretization of ... See full document
6
ANALYSIS OF DIFFUSION PROBLEMS USING HOMOTOPY PERTURBATION AND VARIATIONAL ITERATION METHODS
... solve the diffusion equation. In this paper, the variational iteration method (VIM) [5-9] and the homotopy perturbation method (HPM) [10-14] have been successfully ... See full document
8
On analytical solutions for the nonlinear diffusion equation
... L.N. and J.H.He, 2006. Homotopy perturbation method for the solution of the Electrostatic potential differential ...Application of homotopy ... See full document
9
Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method
... complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and ... See full document
4
Lat. Am. j. solids struct. vol.8 número2
... objectives of this study are to use analytical methods for analyzing the free vibration of the tapered ...analytical solution for nonlinear equations is extremely ...analytical ... See full document
14
Approximations of the nonlinear Painlevand#233; transcendents
... New homotopy perturbation solutions [17] have been presented for the first and second Painlev´e ...transcendents. The results show a very good agreement with the other methods. ... See full document
6
GDTM-Padé technique for the non-linear differential-difference equation
... to differential-difference equations, such as the Adomian decomposition method [11], the Exp-function method [12], the G'/G-expansion me- thod [13], and the ... See full document
6
A discrete homotopy perturbation method for non-linear Schrodinger equation
... a partial differential equation describes the quantum state of a physical system and the changes in that system with respect to ...In the sense of classical ... See full document
9
APPLICATION OF HOMOTOPY PERTURBATION METHOD ON SOME LINEAR AND NONLINEAR PARABOLIC EQUATIONS
... The homotopy perturbation method (HPM) was first proposed by the Chinese mathematician Ji-Huan He ...techniques, the homotopy perturbation method leads to an ... See full document
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