Semi-analytical Solution for Nonlinear Transverse Vibration Analysis of an Euler–Bernoulli Beam with Multiple Concentrated Masses Using Variational Iteration Method

2018 ◽  
Vol 43 (S1) ◽  
pp. 425-440 ◽  
Author(s):  
K. Torabi ◽  
D. Sharifi ◽  
M. Ghassabi ◽  
A. Mohebbi
Keyword(s):  
Analytical Solution ◽  
Transverse Vibration ◽  
Iteration Method ◽  
Vibration Analysis ◽  
Variational Iteration Method ◽  
Bernoulli Beam ◽  
Variational Iteration ◽  
Concentrated Masses ◽  
Euler Bernoulli Beam ◽  
Nonlinear Transverse Vibration

scholarly journals Analytical solution to local fractional Landau-Ginzburg-Higgs equation on fractal media

2021 ◽  
Vol 25 (6 Part B) ◽  
pp. 4449-4455
Author(s):  
Shu-Xian Deng ◽  
Xin-Xin Ge
Keyword(s):  
Analytical Solution ◽  
Laplace Transform ◽  
Present Article ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Variational Iteration ◽  
Fractal Media

The main objective of the present article is to introduce a new analytical solution of the local fractional Landau-Ginzburg-Higgs equation on fractal media by means of the local fractional variational iteration transform method, which is coupling of the variational iteration method and Yang-Laplace transform method.

scholarly journals Variational Iteration Method for Analytical Solution of the Lane-Emden Type Equation with Singular Initial and Boundary Conditions

2019 ◽  
pp. 127-142 ◽  
Author(s):  
Muhammad Nadeem ◽  
Hijaz Ahmad
Keyword(s):  
Exact Solution ◽  
Analytical Solution ◽  
Iteration Method ◽  
Initial Value Problems ◽  
Type Equation ◽  
Variational Iteration Method ◽  
Mathematical Physics ◽  
Initial Value ◽  
Emden Equation ◽  
Variational Iteration

In this paper, a well-known equation used in astrophysics and mathematical physics called the Lane-Emden equation is to be solved by a variational iteration method. The main purpose of this approach is to solve the singular initial value problems and also boundary value problem of Lane-Emden type equations. This technique overcomes its singularity at origin rapidly. It gives the approximate and exact solution with easily computable terms. The approach is illustrated with some examples to show its reliability and compactness.

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