List of Articles روش تکرار

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  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
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  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
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  3 - Studying a numerical stable and quadratic convergence method for solving a new class of absolute value equations.
  mozafar rostami Taher Lotfi Ali Berahmand
  10.30495/jnrm.2022.59105.2050
  In this paper, a new class of absolute value equations is studied as follows:Ax-B|x|-b=o, ( B≠I, σ_"max" (|B|)<σ_"min" (A) ), This new class of absolute value equations, the single value absolute matrix B is less than the single value matrix A and the More

  In this paper, a new class of absolute value equations is studied as follows:Ax-B|x|-b=o, ( B≠I, σ_"max" (|B|)<σ_"min" (A) ), This new class of absolute value equations, the single value absolute matrix B is less than the single value matrix A and the matrix B is not exclusively the identity matrix..Therfore the power of choice is wider than other methods of the absolute value equations and all matrices are arbitrary and this new class of absolute value equation is the NP hard problem..We solve this new class using a generalized Newton method and also convergence and numerical stability. Also, by testing the numerical examples of the efficiency and effectiveness of the solution method for the new class, it has been studied with other works that have been done including Lotfi and Zainali and Mangasarain and Khaksars method.Eceptthis new class and Lotfi and Zainali method are quadratic convergence, the rest methods are linear convergence. Manuscript profile
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  4 - Finding the polar decomposition of a matrix by an efficient iterative method
  F. Kiyoumarsi
  Theobjective in this paper to study and present a new iterative method possessing high convergence order for calculating the polar decompostion of a matrix. To do this, it is shown that the new scheme is convergent and has high convergence. The analytical results are up More

  Theobjective in this paper to study and present a new iterative method possessing high convergence order for calculating the polar decompostion of a matrix. To do this, it is shown that the new scheme is convergent and has high convergence. The analytical results are upheld via numerical simulations and comparisons. Manuscript profile
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  5 - A Method for Sensitivity Analysis and Frequency Updating of Shear Buildings
  Mohamad Reza Tabeshpour
  Determining the sensitivity of vibratory characteristics of a dynamic system (frequencies and mode shapes) due to changes in its mass or stiffness properties is of significant importance. The original algorithms developed were on the basis of the first order sensitivity More

  Determining the sensitivity of vibratory characteristics of a dynamic system (frequencies and mode shapes) due to changes in its mass or stiffness properties is of significant importance. The original algorithms developed were on the basis of the first order sensitivity analysis. However, due to the limitations of these methods, extensive studies performed to develop more efficient methods for this purpose. The second order sensitivity analyses based methods are among the developed algorithms. Both the first and second order sensitivity analyses algorithms lead to acceptable results for only small changes in mass and stiffness of dynamic systems. In this paper, a new method for frequency updating of shear systems is presented based on shear building properties. The method is simple and needs less computation time compared to other methods. An iterative algorithm is developed by which the frequencies of the modified shear system can be determined to the desired accuracy. Since the tuning of the dynamic characteristics of the shear building systems has an important role in controlling their response against external loading, especially earthquake loading, this method can perform efficiently in frequency updating of the system. The performance of the proposed method is investigated using some numerical examples. Manuscript profile
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  6 - Modeling of Pulsed Transformer with Nanocrystalline Cores
  Amir Baktash Abolfazl Vahedi
  Recently tape wound cores, due to their excellent properties, are widely used in transformers for pulsed or high frequency applications. The spiral structure of these cores affects the flux distribution inside the core and causes complication of the magnetic analysis an More

  Recently tape wound cores, due to their excellent properties, are widely used in transformers for pulsed or high frequency applications. The spiral structure of these cores affects the flux distribution inside the core and causes complication of the magnetic analysis and consequently the circuit analysis. In this paper, a model based on reluctance networks method is used to analyze the magnetic flux in toroidal wound cores and losses calculation. A Preisach based hysteresis model is included in the model to consider the nonlinear characteristic of the core. Magnetic losses are calculated by having the flux density in different points of the core and using the hysteresis model. A transformer for using in a series resonant converter is modeled and implemented. The modeling results are compared with experimental measurements and FEM results to evaluate the validity of the model. Comparisons show the accuracy of the model besides its simplicity and fast convergence. Manuscript profile
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  7 - 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
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  8 - 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