A variation iteration method for isotropic velocity-dependent potentials: Scattering case

2014 ◽  
Vol 50 (12) ◽  
Author(s):  
H. Eed
Keyword(s):  
Iteration Method ◽  
Variation Iteration Method

scholarly journals Asymptotic Solution for a Class of Epidemic Contagion Ecological Nonlinear Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Yi-Hu Feng ◽  
Lei Hou
Keyword(s):  
Approximate Solution ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Asymptotic Solution ◽  
Iteration Method ◽  
Ecological Model ◽  
Virus Transmission ◽  
Practical Application ◽  
Generalized Variation ◽  
Variation Iteration Method

In this paper, a class of systems for epidemic contagion is considered. An epidemic virus ecological model is described. Using the generalized variation iteration method, the corresponding approximate solution to the nonlinear system is obtained and the method for this approximate solution is pointed out. The accuracy of approximate solution is discussed, and it can control the epidemic virus transmission by using the parameters of the system. Thus, it has the value for practical application.

A note on variation iteration method with an application on Lane–Emden equations

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Amit K. Verma ◽  
Narendra Kumar ◽  
Mandeep Singh ◽  
Ravi P. Agarwal
Keyword(s):  
Iteration Method ◽  
Design Methodology ◽  
Approximate Solutions ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Point Boundary ◽  
Content Type ◽  
Novel Method ◽  
Made In ◽  
Variation Iteration Method

PurposeIn this article, the authors consider the following nonlinear singular boundary value problem (SBVP) known as Lane–Emden equations, −u″(t)-(α/t) u′(t) = g(t, u), 0 < t < 1 where α ≥ 1 subject to two-point and three-point boundary conditions. The authors propose to develop a novel method to solve the class of Lane–Emden equations.Design/methodology/approachThe authors improve the modified variation iteration method (VIM) proposed in [JAAC, 9(4) 1242–1260 (2019)], which greatly accelerates the convergence and reduces the computational task.FindingsThe findings revealed that either exact or highly accurate approximate solutions of Lane–Emden equations can be computed with the proposed method.Originality/valueNovel modification is made in the VIM that provides either exact or highly accurate approximate solutions of Lane-Emden equations, which does not exist in the literature.

scholarly journals Numerical investigation fluid velocity and heat transfer on the stretching sheet by VIM method and optimization fluid temperature and velocity parameter by Prandtl number and viscoelastic parameter

2021 ◽  
Author(s):  
Pooya Pasha ◽  
Ali Hosin Alibak ◽  
Hossein Nabi ◽  
Farzad tat Shahdost
Keyword(s):  
Heat Transfer ◽  
Prandtl Number ◽  
Iteration Method ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Convection Heat Transfer ◽  
Fluid Temperature ◽  
Viscoelastic Parameter ◽  
Velocity Changes ◽  
Variation Iteration Method

This study aimed at investigating the variation of heat transfer and velocity changes of the fluid flow along the vertical line on a surface drawn from both sides. In the beginning, the several parameters such as Prandtl number and viscoelastic effect evaluated for heat transfer and fluid velocity by variation Iteration method. The results were compared with the numerical method. The second part of the description relates to the use RSM method in the Design Expert software. In this paper by using the RSM method, optimized the fluid velocity and heat transfer passing from the stretching sheet. By increasing the Prandtl number, the convection heat transfer 43 % increased ratio the minimum Prandtl number. In accordance with balanced modes for Prandtl number and viscoelastic parameter and wall temperature, the best optimization occurred for fluid velocity and fluid temperature with f=0.67 and θ=0.606. The results of variation iteration method are accurate for the nonlinear solution. As the value of k increases, the value of fluid velocity indicates an increase and by increase Prandtl number, the value of Temperature decreases.

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