Nonlocal nonlinear vibration of an embedded carbon nanotube conveying viscous fluid by introducing a modified variational iteration method
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DOI: 10.1007/s40430-020-2263-0
Abstract: In this study, the large amplitude vibration and the stability of embedded carbon nanotubes (CNTs) conveying viscous fluid are analyzed. The effects of small-scale are presented into the model based on the nonlocal elasticity theory… read more here.
Keywords: iteration method; vibration; embedded carbon; variational iteration ... See more keywords
Variational iteration transform method for fractional differential equations
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DOI: 10.1080/09720502.2015.1103001
Abstract: Abstract The aim of the work is to extend the application of the modified Variational Iteration Method suggested by Afshan Kanwa and Syed Tauseef Mohyud-Din to obtaining solutions of linear and nonlinear linear time-fractional equations… read more here.
Keywords: iteration; method fractional; iteration transform; variational iteration ... See more keywords
An accurate algorithm for solving biological population model by the variational iteration method using He’s polynomials
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DOI: 10.1080/25765299.2018.1510566
Abstract: Abstract In the present work, we apply the variational iteration method using He’s polynomials (VIMHP) for solving four examples of the biological population model (BPM). The proposed method is a combination of He’s variational iteration… read more here.
Keywords: iteration; method using; iteration method; using polynomials ... See more keywords
Numerical solution of the general Volterra nth-order integro-differential equations via variational iteration method
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DOI: 10.1142/s1793557120500424
Abstract: In this paper, we use the variational iteration method (VIM) to construct approximate solutions for the general [Formula: see text]th-order integro-differential equations. We show that his method can be effectively and easily used to solve… read more here.
Keywords: iteration method; integro differential; order integro; differential equations ... See more keywords
Convergence of Variational Iteration Method for Fractional Delay Integrodifferential-Algebraic Equations
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DOI: 10.1155/2017/6749643
Abstract: Fractional order delay integrodifferential-algebraic equations are often used for many practical modeling problems in science and engineering, which have time lag, memory, constraint limit, and so forth. These yield some difficulties in numerical computation. The… read more here.
Keywords: iteration method; delay integrodifferential; integrodifferential algebraic; variational iteration ... See more keywords
Analytical solutions to contact problem with fractional derivatives in the sense of Caputo
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DOI: 10.2298/tsci20s1313n
Abstract: The current study extends the applications of the variational iteration method for the analytical solution of fractional contact problems. The problem involves Caputo sense while calculating the derivative of fractional order, we apply the Penalty… read more here.
Keywords: analytical solutions; solution fractional; boundary value; variational iteration ... See more keywords
A comparative analysis for the solution of nonlinear Burgers' equation.
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DOI: 10.3233/jin-180085
Abstract: In this work, a comparative study of seven well-known mathematical techniques for the coupled Burgers' equations is reported. The techniques involve in this comparison are as follows: Laplace transform Adomian decomposition method, Laplace transform homotopy… read more here.
Keywords: analysis; decomposition method; method; homotopy ... See more keywords