List of Articles Variational iteration method

• Open Access Article
  • Abstract Page
  • Full-Text
  
  1 - Local Fractional Variational Yang-Laplace Method for solving local fractional partial differential Equations
  homa afraz Jafar Saberi nadjafi
  In the last decade, the theory of local fractional calculus has been successfully used to describe and solve fundamental science and engineering problems. In this article, the local fractional Yang-Laplace variational iteration method has been used for solving the local More

  In the last decade, the theory of local fractional calculus has been successfully used to describe and solve fundamental science and engineering problems. In this article, the local fractional Yang-Laplace variational iteration method has been used for solving the local fractional partial differential equation on a cantor set. The non-differentiable exact and approximate solutions are obtained for kind of local fractional linear and nonlinear equations. It is shown that the used method is an efficient and easy method to implement for linear and nonlinear problems arising in science and engineering. In this article, we emphasize on the LFYLVM method which is a combination form of local fractional variational iteration method and Yang-Laplace transform. Most of the obtained solutions from this method are in series form that converge rapidly to exact or approximate solutions. Illustrative examples demonstrate that the method is able to reduce the volume of computation compared to the existing classical methods. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  2 - The generalized variational iteration method to solve the fractal partial differential equations
  Homa Afraz Alireza Khalili Golmankhaneh
  10.30495/jnrm.2022.69663.2328
  Fractional calculus is a branch of classical mathematics, which deals with the generalization of fractional order derivative and integral operator. Recently, a great deal of research has been carried out on the fractional calculus to study the phenomena associated with More

  Fractional calculus is a branch of classical mathematics, which deals with the generalization of fractional order derivative and integral operator. Recently, a great deal of research has been carried out on the fractional calculus to study the phenomena associated with fractal structures and processes. Fractals have a fractional dimension and occur naturally in non-linear and imbalanced phenomena in various forms and contexts. In recent years, various types of derivatives and fractional and fractal calculus have been proposed by many scientists and have been extensively utilized. Measurements are localized in physical processes, and local fractional calculus is a useful tool for solving some type of physical and engineering problems. Gangal studied the local fractional calculus and got the relation between it and the fractals. Using the local fractional calculus and fractal properties, he defined the fractal-alpha calculus on a subset of the real line, which is a simple calculs, useful, structural and algorithmic. In this study, we first describe the fractal-F alpha calculus. Next, we propose The generalized variational iteration method based on the fractal calculus. To show the efficiency of fractal calculus and the new method, we solve several fractal partial differential equations with this method and show that this method is better, easier and more suitable than the two other methods mention the above. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  3 - The Use of Fuzzy Variational Iteration Method For Solving Second-Order Fuzzy Abel-Volterra Integro-Differential Equations‎
  S. Sadigh Behzadi
  Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  4 - Vibration ‎A‎nalysis of a ‎C‎urrent-Carrying Wire in a Magnetic Field Apllying Variational Iteration ‎Method
  M. Hosseini
  In the present investigation, Variational Iteration Method (VIM) is applied to solve the dynamic oscillation of a current-carrying wire in a magnetic field which is generated by a fixed current-carrying conductor parallel to the wire. Two linear springs are considered t More

  In the present investigation, Variational Iteration Method (VIM) is applied to solve the dynamic oscillation of a current-carrying wire in a magnetic field which is generated by a fixed current-carrying conductor parallel to the wire. Two linear springs are considered to restrict the wire to a rigid wall. In a special case, the periodic solution of the problem is obtained by VIM and compared with numerical solutions for different parameters. Results indicate high accuracy of this method which can be easily extended to solve other non-linear vibration equations, therefore can be applicable in other engineering problems. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  5 - Numerical solution of the system of Volterra integral equations of the first kind
  A. Armand Z. Gouyandeh
  Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  6 - Solving Differential Equations Using Modified VIM
  F. Goharee E. Babolian
  Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  7 - Variational iteration method for solving nth-order fuzzy integro-differential equations
  O. Sedaghatfar S. Moloudzadeh P. Darabi
  Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  8 - On solving ordinary differential equations of the first order by updating the Lagrange multiplier in variational iteration ‎method
  SH. Javadi
  Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  9 - Application of variational iteration method for solving singular two point boundary value problems
  Shadan Sadigh Behzadi
  In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence More

  In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenproblem which being processed out and improvised on its own at every step re-cursively. Moreover, Illustrative examples available to the context in literaturewhen treated with, by application of such proposed method fetch encouragingresults so as to justify and reveal its eciency and usefulness of the method. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  10 - Application of Numerical Iterative Methods for Solving Benjamin-Bona-Mahony Equation
  Shadan Sadigh behzadi
  Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  11 - استفاده از روش تجزیه Adomian و روش تکرار متغیر برای مشکلات سیستم پویا
  Babatunde Yisa
  روش تجزیه Adomian و روش تکرار Variational Hee برای مشکلات نوسانگر غیرخطی که شامل نوسانگرهای محافظه کار است ، اعمال می شوند. به دلیل الگوریتم هایی که اصطلاحات غیرخطی را در مشکلات پذیرفته اند ، روش ها برای موارد عمومی و خاص موثر هستند. این دو روش بر روی برخی از مشکلات خاص More

  روش تجزیه Adomian و روش تکرار Variational Hee برای مشکلات نوسانگر غیرخطی که شامل نوسانگرهای محافظه کار است ، اعمال می شوند. به دلیل الگوریتم هایی که اصطلاحات غیرخطی را در مشکلات پذیرفته اند ، روش ها برای موارد عمومی و خاص موثر هستند. این دو روش بر روی برخی از مشکلات خاص در ادبیات آزمایش شده است ، و نتایج به دست آمده در مقایسه با نتایج به دست آمده از طریق استفاده از روش تعادل انرژی مقایسه شده است. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  12 - VARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
  ج. بی آزار H. ابراهیمی
  Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  13 - Survey on fractional Black-scholes with hurst exponent on European option with transaction cost
  Morteza Rahmani Nahid Jafarian
  On all stock exchange of the world famous considerably derivatives are traded. Options are a patent for its owner, the most important are derivatives. The best economic tool management risk, the use of the option contract. It is obvious that at the conclusion of each co More

  On all stock exchange of the world famous considerably derivatives are traded. Options are a patent for its owner, the most important are derivatives. The best economic tool management risk, the use of the option contract. It is obvious that at the conclusion of each contract, determining the price is the main element, Thus providing fair prices for securities is very important. In this study, the option pricing under fractional Black-Scholes is survived. The fractional Black-Scholes is based on fractional Brownian motion with hurst parameter. The Hurst exponent be associated with fractal dimension and self-similary as an indicator of long-term memory is used in the process of stock prices. The aim to provide a pricing formula for European options with transaction costs is an approximate answer fractional pricing equation with transaction costs by way of variational iteration method is checked. The transaction costs contain fixed costs, a cost proportional to the volume traded and a cost proportional to the value traded. Expected, the price of the European option decreases as the Hurst exponent increases. To achieve this goal, we estimate (Hurst parameter time series), on the real data to the desired result, the option price reduction reached. Comparing results show that the actual prices by fractional black-scholes model, is closer to the actual results. Manuscript profile
• Open Access Article
  • Abstract Page
  • Full-Text
  
  14 - Optimal Control of Hand, Foot and Mouth Disease Model using Variational Iteration Method
  Devipriya Ganeshan L. Jane Darne
  Manuscript profile