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[PDF] Top 20 On convergence of He’s variational iteration method for nonlinear partial differential equations

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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

... where u 0 (x, t) is the initial guess and the subscript n denotes the n-th itera- tion, and λ (x,t,s) = 0 denotes the Lagrange multiplier, which can be identified efficiently via the variational theory, and ˜ ... See full document

7

STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

... investigated nonlinear partial differential equations written in the general form ...and convergence. We state and prove Stability and Convergence Theorems for the general scheme ... See full document

49

Variational iteration method applied to 
		nonlinear coupled differential equations arising in conjoint 
		normal tumor cells

Variational iteration method applied to nonlinear coupled differential equations arising in conjoint normal tumor cells

... He’s variational iteration method is used to give approximate analytical solutions of nonlinear differential equations arising in conjoint normal-tumor ...The convergence ... See full document

6

Analytical solution of system of differential equations by variational iteration method

Analytical solution of system of differential equations by variational iteration method

... and nonlinear system of ordinary differential ...this method can be applied to many other complicated nonlinear systems of ODEs and ... See full document

10

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

... partial differential equations with variable coefficients that may arise in the study of the vibration of beams and plates as well as the flow of viscoelastic and elastic (Newtonian) ...These ... See full document

19

Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations

... extend variational iteration method (VIM) to find approximate solutions of linear and nonlinear thir- teenth order differential equations in boundary value ...The method ... See full document

7

Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems

Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems

... and nonlinear optimal control ...decomposition method [1], homotopy Analysis method HAM [2], variational iteration method VIM [3] and homotopy perturbation method HPM ... See full document

8

Two Step Hybrid Block Method for Solving Nonlinear Jerk Equations

Two Step Hybrid Block Method for Solving Nonlinear Jerk Equations

... ordinary differential equation in terms of its differential ...of nonlinear third-order differential equations was used jacobi-gauss collocation method in [5], He’s var- iational ... See full document

18

An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations

An Effective Perturbation Iteration Algorithm for Solving Riccati Differential Equations

... Decomposition Method has been put forward for solving the Riccati differential ...Perturbation Method and iterating it. He then matched the accuracy of the obtained solution with the result ... See full document

5

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

... and nonlinear boundary value problems for fourth-order fractional integro- differential equations are solved by Variational iteration method (VIM) and Adomian decomposition ... See full document

8

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

... of variational iteration method to solve multi-order fractional differential ...the method is based on converting a given problem into a system of FDEs and then solving the resultant ... See full document

8

Analytical Exact Solution of Neural Functional differential Equations

Analytical Exact Solution of Neural Functional differential Equations

... of nonlinear sciences observes number of new analytical and numerical ...limited convergence, small parameter assumption and non-compatibility with the physical nature of the ...the Variational ... See full document

5

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

... In Sections  and , we note that the integration by parts plays an important role and is often used in the derivation of the Lagrange multipliers in ordinary calculus. But in FC, the similar integration by parts cannot ... See full document

16

Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method

Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method

... and nonlinear problems. The main property of the method is in flexibility and ability to solve linear and nonlinear equations accurately and ...this method have made the method a ... See full document

6

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 [1]. Higher-order initial-boundary value problems arise in many engineering applications [2, 3, 4, 5, 6]. If an innite horizontal ... 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

... [12] D. Ralescu, A survey of the representation of fuzzy concepts and its applications, in: M.M. Gupta, R.K. Ragade, R.R. Yager, Eds., Ad- vances in Fuzzy Set Theory and Applications (North-Holland, Amsterdam (1979) ... See full document

8

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

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

... The variational iteration method (VIM) developed in 1999 by He in [9-18] will be used to study the linear wave equation, nonlinear wave equation, and wave-like equation in bounded and ... See full document

9

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

... fuzzy differential equations, which attracted a growing interest for some time, in particular, in relation to the fuzzy control, have been rapidly developed recent ...Fuzzy differential ... 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

... the nonlinear dispersive variants of the BBM equation, where new exact solutions with compact and non- compact structures for BBM are ...decomposition method to obtain explicit and numerical solutions of ... See full document

9

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

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