Variational Iteration Method
A Comparative Study of Variational Iteration Method and He Laplace Method
... -expansion method [4] and Hirota bilinear method ...decomposition method (ADM) [7], He’s Semi- inverse method [8], the tanh method, homotopy perturba- tion method(HPM), Sinh-Cosh ...
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23. Modified variational iteration method for heat equation using He's polynomials
... modified variational iteration method for solving linear ...modified variational iteration method for solving the heat transfer problems with variable ...The method is ...
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Application of variational iteration method and electron transfer mediator/catalyst composites in modified electrodes
... (25) Figure 1 shows our schematic representation of the differential equations describing the transport and kinet- ics in a microheterogeneous system. Each of these ex- pressions represents the approximations to the set ...
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Analysis of Amperometric Enzyme Electrodes in the Homogeneous Mediated Mechanism using Variational iteration Method
... The Variational iteration method [16, 17, 20, 21] has been extensively worked out over a number of years by numerous ...authors. Variational iteration method has been favorably ...
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Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
... He’s Variational Iteration Method and Adomian’s De- composition Method to Sawada-Kotera-Ito Seventh-Order Equation,” Numerical Methods for Partial Differential Equations, ...
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A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method
... In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Ma- hony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and ...
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Variational Iteration Method for Free Vibration Analysis of a Timoshenko Beam under Various Boundary Conditions
... new method, namely variational iteration method (VIM), is developed for free vibration analysis of a Timoshenko beam with different boundary ...an iteration process is used till the ...
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The variational iteration method for a class of tenth-order boundary value differential equations
... In this paper, a class of tenth-order boundary-value problems is considered. Three examples, solved in [10], are dealt with again to obtain accurate results in the entire domain via the variational ...
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Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations
... using variational iteration ...tional Iteration Method and compared with the Equation (8) which is the exact solution of Equation ...present method is very superior to that obtained by ...
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Nonlinear Free Transverse Vibration Analysis of Beams Using Variational Iteration Method
... study, Variational Iteration Method is employed so as to investigate the linear and non-linear transverse vibration of Euler-Bernoulli ...This method is a very powerful approach with a high ...
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APPLICATION OF THE HOMOTOPY PERTURBATION METHOD (HPM) AND VARIATIONAL ITERATION METHOD (VIM) TO GAS DYNAMIC EQUATION
... Perturbation method is based on assuming a small ...a variational iteration method based on the use of restricted variations and correction functionals which has found a wide application for ...
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Analytical approximate solution of higher order boundary value problems via variational iteration method
... of variational iteration method has been successfully extended to obtain approximate solutions of some higher order boundary value ...the method by testing three different mathematical models ...
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Variational Iteration Method and Adomian Decomposition Method for Fourth Order Fractional Integro Differential Equations
... In this paper, linear and nonlinear boundary value problems for fourth-order fractional integro- differential equations are solved by Variational iteration method (VIM) and Adomian decomposition ...
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6. Variational iteration method for exact solution of gas dynamic equation using He's polynomials
... L[u(x, t)] + N [u(x, t)] = g(x, t), (2.1) where L is a linear operator, N a nonlinear operator and g(x, t) is the source inho- mogeneous term. According to the variational iteration method, we can ...
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Variational iteration method applied to nonlinear coupled differential equations arising in conjoint normal tumor cells
... (variational iteration method) is unique in its applicability, accuracy and ...this method and detailed derivation of concentrations of normal and tumor cells are ...
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Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
... He’s Variational Iteration Method to Nonlinear Jaulent-Miodek Equations and Comparing It with ADM,” Journal of Computional and Applied Mathematics, ...
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Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives
... a method to achieve the exact solution of special type of nonlinear partial differential equations (NLPDEs) involving mixed partial ...proposed method named as Laplace substitution - Variation ...
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PROGRAMMING VARIATIONAL ITERATION METHOD VIA WOLFRAM-MATHEMATICA FOR SOLVING MULTI-ORDER DIFFERENTIAL EQUATIONS
... a Variational Iteration Method (VIM) using Wolfram’s Mathematica .... Variational Iteration Method offers a study that introduce ap- proximated solutions of the multi-order ...
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Construction of solitary solution and compacton-like solution by the variational iteration method using He's polynomials
... paper, Variational Iteration Method using He's polynomials (VIMHP) was applied to find the solitary solution and compacton-like solution of this equation and it was demonstrated that the VIMHP could ...
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On solving ordinary differential equations of the first order by updating the Lagrange multiplier in variational iteration method
... of variational it- eration method by allowing the general Lagrange multiplier defined in the context of the variational iteration method [9] to change in each ...
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