[PDF] Top 20 Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method
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Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method
... the solution of the Van Der Pol differential equation with different boundary ...the analytical solutions for highly non-linear ordinary differential ... See full document
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An approximate analytical solution of the fractional multi dimensional Burgers equation by the homotopy perturbation method
... Burgers equation in which the time and space derivatives are replaced by the Caputo fractional ...the homotopy perturbation method (HPM) is an effective method which provides a simple ... See full document
12
A mathematical modelling and analytical solutions of nonlinear differential equations model with using Homotopy Perturbation method
... ordinary differential equations model with some effective features is described in [1, ...and analytical solutions is described in ...This method of control is cheap and is being used in many part of ... See full document
5
Homotopy perturbation and Elzaki transform for solving Sine-Gorden and Klein-Gorden equations
... Elzaki Homotopy-Perturbation method (EHPM) has been successfully employed to obtain the approximate analytical solutions of the Sine-Gorden and the Klein-Gorden ...this method is almost ... See full document
14
Finding the approximate analytical solutions of 2n (nϵR) order differential equation with boundary value problem using various techniques
... homotopy perturbation method (HPM), and modified power series ...traditional perturbation method and the homotopy ...the method and the results of errors are ...one ... See full document
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Approximate Analytical Solution for Quadratic Riccati Differential Equation
... efficient method for solving the quadratic Riccati differential ...new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact solution of the nonlinear ... See full document
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Online Full Text
... the Homotopy Perturbation Method (HPM) to develop an approximate analytical solution for a Fuzzy Partial Differential Equations ...The method is applied to calculate the ... See full document
7
Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel
... admit analytical solution, so these equations should be solved using special ...analytic solution of equation; such methods include the Adomian decomposition method 9–12, the ... See full document
12
Solution by Homotopy Perturbation Method of Linear and Nonlinear Diffusion Equation
... exact analytical solutions of such problems are quite ...obtaining analytical solutions which reasonably approximate the exact ...solutions. Homotopy perturbation method is such ... See full document
7
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
... analytical solution. Therefore, these nonlinear equations should be solved using other ...solved using numerical techniques and some are solved using the analytical method ... See full document
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Homotopy Perturbation Method for Solving a Spatially Flat FRW Cosmological Model
... of analytical solutions in cosmology is hard to ...basic equation governing dynamics of the cosmic evolution is known as the Friedmann ...this equation is relevant to many cosmological models, any ... See full document
5
HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism
... finding analytical solutions in those cases is very ...nonlinear differential equations; however, it is known that they provide the asymptotic behavior of the ...the homotopy perturbation ... See full document
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A mathematical modeling and simulation of non linear ordinary differential equations using HPM
... approximate analytical solution of non linear ordinary differential equations system using Homotopy Perturbation Method ...These analytical solutions are ... See full document
5
He’s Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations
... He's Homotopy perturbation method because the details of the method are found in [8-19], and in many related ...iteration method [7, 18-21], the Adomian decomposition method ... See full document
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Homotopy Perturbation Method for Solving Highly Nonlinear Reaction-Diffusion-Convection Problem
... He’s Homotopy perturbation method suggested in this article is an efficient method for obtaining the most accurate solution of a highly nonlinear partial differential ... See full document
6
MODIFIED ABOODH HOMOTOPY PERTUBATION METHOD FOR SOLVING NONLINEAR GAS DYNAMIC EQUATION
... various analytical methods for obtaining solutions which reasonably approximate the exact solutions see Bellman (1964), Cole ...and analytical methods will also produce meaningful ...is homotopy ... See full document
12
On the Exact Solution of Burgers Huxley Equation Using the Homotopy Perturbation Method
... the Homotopy Perturbation Method (HPM) which is a semi-analytical method was first pioneered by He ...the method is applied by He [2] to solve the non-linear non-homogeneous ... See full document
10
Elzaki transform homotopy perturbation method for partial differential equations
... partial differential equations since they appear in many physical phenomena which in general are very hard to solve ...new analytical methods or approximate analytical ...are homotopy analysis ... See full document
22
Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u)
... The homotopy analysis method is developed in 1992 by Liao ...an analytical approach to get the series solution of linear and nonline arpartial differential ...other perturbation ... See full document
8
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
... study, homotopy perturbation method and parameter expanding method are applied to the motion equations of two nonlinear ...exact solution, the results show that these methods are very ... See full document
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