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[PDF] Top 20 Analytical solution of system of differential equations by variational iteration method

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Analytical solution of system of differential equations by variational iteration method

Analytical solution of system of differential equations by variational iteration method

... find exact and approximate solutions of linear and nonlinear system of ordinary differential equations. Three numerical examples have been presented to show that this technique is promising. All the ... See full document

10

A New Modification of the Reconstruction of Variational Iteration Method for Solving Multi-order Fractional Differential Equations

A New Modification of the Reconstruction of Variational Iteration Method for Solving Multi-order Fractional Differential Equations

... the solution of fractional differential ...an analytical approximation solution for linear and nonlinear multi-order fractional differential equations ...of Variational ... See full document

8

Variational iteration method for solving nth-order fuzzy integro-differential equations

Variational iteration method for solving nth-order fuzzy integro-differential equations

... numerical method to solve nth-FIDE is ...this system is proved. In Section 5, the appli- cation of mentioned method VIM is brought by solving some numerical examples and finally the results are ... See full document

8

Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

... the solution of the linear problems can be deter- mined in a single iteration ...following system of differential equations helps in understanding the varia- tional iteration ... See full document

7

The variational iteration method for fuzzy fractional differential equations with uncertainty

The variational iteration method for fuzzy fractional differential equations with uncertainty

... differential equations have been considered by some authors recently [, ...dynamical system and considering fuzzy differential ...differential equations with uncertainty can be seen in ... See full document

7

Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

Solution of Volterra’s Integro-Differential Equations by Using Variational Iteration Method

... and analytical methods to solve such problems, for example, the homotopy perturbation method [3], the Adomian decomposition method [4], but each method limits to a special class of ... See full document

9

New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems

New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems

... Non-linear differential equations can model many phenomena in different fields of science and engineering in order to present their behaviors and effects by mathematical ...the equations do not have ... See full document

6

Numerical solution of the first order linear fuzzy differential equations using He$’$s variational iteration method

Numerical solution of the first order linear fuzzy differential equations using He$’$s variational iteration method

... Knowledge about dynamical systems modelled by differen- tial equations is often incomplete or vague. It concerns, for example, parameter values, functional relationships, or initial conditions. The well-known ... See full document

5

Analysis of Amperometric Enzyme Electrodes in the Homogeneous Mediated Mechanism using Variational iteration Method

Analysis of Amperometric Enzyme Electrodes in the Homogeneous Mediated Mechanism using Variational iteration Method

... using variational iteration ...He’s variational iteration method is implemented to give an approximate and an analytical solution of nonlinear differential ... See full document

17

A mathematical modeling and simulation of 
		non linear ordinary differential equations using HPM

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 representing a ... See full document

5

On convergence of He’s variational iteration method for nonlinear partial differential equations

On convergence of He’s variational iteration method for nonlinear partial differential equations

... freedom of choosing them. Thus, as long as u 0 (x, t) and Λ are so properly chosen that the sequence (10) converges in a region t 0 ≤ t ≤ T , it must converge to the exact solution in this region. Therefore, the ... See full document

7

A new numerical scheme for solving systems of integro-differential equations

A new numerical scheme for solving systems of integro-differential equations

... and analytical methods such as series solution method [13], homotopy perturbation method [9, 10], Adomian decomposition method [2, 3, 16] and variational iteration ... See full document

12

Numerical Solution of Klein/Sine Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets

Numerical Solution of Klein/Sine Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets

... Sine-Gordon equations appeared in many physical problems like applications in relativistic field theory, Josephson junc- tions or mechanical transmission lines [4] [5] [6] ...Numerical solution of partial ... See full document

13

New applications of the variational iteration method   from differential equations to q fractional difference equations

New applications of the variational iteration method from differential equations to q fractional difference equations

... The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared. This study ... See full document

16

The variational iteration method for a class of tenth-order boundary value differential equations

The variational iteration method for a class of tenth-order boundary value differential equations

... The solution of nonlinear problems by analytic techniques is often rather dicult ...the solution and higher order derivatives, were obtained near the boundaries of the ... See full document

8

Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation

Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation

... diffusion equations are generalizations of classical diffusion equations which are increasingly used in modeling practical super diffusive problems in fluid flow, finance and others areas of ...the ... See full document

5

A Study of Some Nonlinear Partial  Differential Equations by Using Adomian  Decomposition Method and Variational  Iteration Method

A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method

... decomposition method to obtain explicit and numerical solutions of different types of generalized ...difference method to obtain the numerical solution of Cahn-Hilliard ...Exp-function method ... See full document

9

Variational iteration transform method for 
		solving burger and coupled burgers equations

Variational iteration transform method for solving burger and coupled burgers equations

... The Variational iteration method was first proposed by He [14–17] and was successfully applied to autonomous ODE in [18], to nonlinear polycrystalline solids [29], and other ...transform ... See full document

7

Simulation of Singular Fourth- Order Partial Differential Equations Using the Fourier Transform Combined With Variational Iteration Method

Simulation of Singular Fourth- Order Partial Differential Equations Using the Fourier Transform Combined With Variational Iteration Method

... modified variational iteration method (MVIM) and a hybrid of Fourier transform and variational iteration method ...partial differential equations with variable ... See full document

19

Variational Iteration Method and Adomian Decomposition Method for Fourth Order Fractional Integro Differential Equations

Variational Iteration Method and Adomian Decomposition Method for Fourth Order Fractional Integro Differential Equations

... the Variational iteration and Adomain decomposition methods for finding the solution of linear and nonlinear boundary value problem for fourth-order fractional integro-differential ... See full document

8

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