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[PDF] Top 20 APPLICATION OF HOMOTOPY PERTURBATION METHOD ON SOME LINEAR AND NONLINEAR PARABOLIC EQUATIONS

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APPLICATION OF HOMOTOPY PERTURBATION METHOD ON SOME LINEAR AND NONLINEAR PARABOLIC EQUATIONS

APPLICATION OF HOMOTOPY PERTURBATION METHOD ON SOME LINEAR AND NONLINEAR PARABOLIC EQUATIONS

... the homotopy perturbation method (HPM) which doesn’t small parameter is applied to solve the linear and nonlinear parabolic ...Comparison of the applied methods ... See full document

5

The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM)

The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM)

... details of Homotopy Analysis Method, we refer the readers to study (Liao, ...ideas of Homotopy as an important part of differential ...by Homotopy Analysis Method ... See full document

14

A discrete homotopy perturbation method for non-linear Schrodinger equation

A discrete homotopy perturbation method for non-linear Schrodinger equation

... models of predator prey interactions (Shakil, 2014), where the quasi- chemical approach has been use for modeling the predator prey ...have nonlinear systems of partial differential equations ... See full document

9

ANALYSIS OF DIFFUSION PROBLEMS USING HOMOTOPY PERTURBATION AND VARIATIONAL ITERATION METHODS

ANALYSIS OF DIFFUSION PROBLEMS USING HOMOTOPY PERTURBATION AND VARIATIONAL ITERATION METHODS

... iteration method (VIM) [5-9] and the homotopy perturbation method (HPM) [10-14] have been successfully applied to solve the diffusion ...shortcomings of the conventional ... See full document

8

ANALYTICAL AND NUMERICAL ANALYSIS OF MHD BOUNDARY-LAYER FLOW OF AN INCOMPRESSIBLE UPPER-CONVECTED MAXWELLFLUID

ANALYTICAL AND NUMERICAL ANALYSIS OF MHD BOUNDARY-LAYER FLOW OF AN INCOMPRESSIBLE UPPER-CONVECTED MAXWELLFLUID

... flow of an upper-convected Maxwell fluid has been ...differential equations into an ordinary non-linear differential ...equation. homotopy perturbation Method (HPM) has applied ... See full document

9

Estimates of solutions for parabolic differential and difference functional equations and applications

Estimates of solutions for parabolic differential and difference functional equations and applications

... theorems on the estimates of solutions for nonlinear second-order partial differential functional equations of parabolic type with Dirichlet’s condition and for suitable ... See full document

21

Lat. Am. j. solids struct.  vol.13 número7

Lat. Am. j. solids struct. vol.13 número7

... Parameterized- Perturbation Method (PPM) be used to solve strongly nonlinear ...modes of geometrically nonlinear beams under the various edge conditions by the harmonic balance ...the ... See full document

15

Lat. Am. j. solids struct.  vol.13 número2

Lat. Am. j. solids struct. vol.13 número2

... the nonlinear forced vibration of an orthotropic circu- lar plate resting on Winkler, Pasternak and nonlinear Winkler foun- dation is ...rotation and inplane displacement are ... See full document

14

Lat. Am. j. solids struct.  vol.8 número2

Lat. Am. j. solids struct. vol.8 número2

... amount of published work can be found in the field of beam vibrations dealing with analytical and numerical tech- ...analysis of the nonlinear free vibrations of ...equation ... See full document

14

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

... the Homotopy Perturbation Method (HPM) for solving differential ...merit of the HPM is to overcome the difficulties involved in calculating the nonlinear terms in the concerned ... See full document

4

Comput. Appl. Math.  vol.31 número2

Comput. Appl. Math. vol.31 número2

... theory and other practical fields. A variety of powerful and direct methods have been proposed to obtain ex- act solutions of nonlinear evolution equations such as exp-function ... See full document

25

On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations

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 and ... See full document

5

Lat. Am. j. solids struct.  vol.10 número2

Lat. Am. j. solids struct. vol.10 número2

... for nonlinear equa- tions without small ...governing nonlinear differential equations to study the nonlinear vibrations including perturbation methods [18], He’s Max-Min Approach (MMA) ... See full document

11

Application of the General Variational Iteration Method to a Nonlinear System

Application of the General Variational Iteration Method to a Nonlinear System

... new method called general variational iteration method (GVIM) has been presented for deriving accurate/approximate analytical solution to strong nonlinear ...fields of science and ... See full document

4

On analytical solutions for the nonlinear diffusion equation

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 ...R., Application of homotopy perturbation ... See full document

9

Application of He's homotopy perturbation method for  solving nonlinear wave-like equations with variable  coefficients

Application of He's homotopy perturbation method for solving nonlinear wave-like equations with variable coefficients

... solutions of the nonlinear wave-like equations with variable ...values of time ...HPM and exact ...simple and straight ...both linear and nonlinear partial ... See full document

15

Solution of the Linear and Non-linear Partial Differential Equations Using Homotopy Perturbation Method

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 ...this method is satisfactory same as the exact results to these ... See full document

7

Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM)

Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM)

... the nonlinear phenomena is very important and it played a tremendous role, especially in the field of applied mathematics, engineering and physics ...mechanism of physical model ... See full document

19

Approximations of the nonlinear Painlevand#233; transcendents

Approximations of the nonlinear Painlevand#233; transcendents

... new homotopy perturbation method (NHPM) to solve the first and second Painlev´e ...differential equations based on two component procedure and poly- nomial initial ... See full document

6

Source points placement in the method of fundamental solutions for parabolic problems / Colocação de pontos de fonte no método de soluções fundamentais para problemas parabólicos

Source points placement in the method of fundamental solutions for parabolic problems / Colocação de pontos de fonte no método de soluções fundamentais para problemas parabólicos

... (a) and (c), and similar accuracy to (d), having better results on Case ...distance, and in Case 2 presented the worst minimum valor to each evaluated ... See full document

12

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