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Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 2,   Pages 177-190 doi: 10.1007/s11465-014-0288-8

Abstract:

In the present paper, three complicated nonlinear differential equations in the field of vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and solved completely by AlgebraicInvestigating this kind of equations is a very hard task to do and the obtained solution is not accurateAGM and numerical method, it is possible to indicate that AGM can be successfully applied for various differentialequations particularly for difficult ones.

Keywords： Algebraic Method (AGM)     Angular Frequency     Vanderpol     Rayleigh     Duffing    

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Analyzing the service availability of mobile cloud computing systems by fluid-flow approximation

Hong-wu LV,Jun-yu LIN,Hui-qiang WANG,Guang-sheng FENG,Mo ZHOU

Frontiers of Information Technology & Electronic Engineering 2015, Volume 16, Issue 7,   Pages 553-567 doi: 10.1631/FITEE.1400410

Abstract: nodes chosen, and action throughput, are defined to estimate the availability by solving a group of ordinarydifferential equations even before the MCC system is fully deployed.

Keywords： Service availability     Mobile cloud computing     Fluid-flow approximation     Ordinary differential equations    

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Scrutiny of non-linear differential equations Euler-Bernoulli beam with large rotational deviation by

M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE

Frontiers of Mechanical Engineering 2014, Volume 9, Issue 4,   Pages 402-408 doi: 10.1007/s11465-014-0316-8

Abstract: Using alternative constitutive equations can allow for viscoelastic or plastic beam deformation.In this study, solving the nonlinear differential equation governing the calculation of the large rotationBy considering the small slope in the linearization of the governing differential equation, the solvingIn this paper nonlinear differential equations governing on this system are solved analytically by Akbari-GanjiMoreover, in AGM by solving a set of algebraic equations, complicated nonlinear equations can easily

Keywords： AGM     critical load of columns     large deformations of beam     nonlinear differential equation    

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Kinetic model for hydroisomerization reaction of C-aromatics

XU Ouguan, SU Hongye, JIN Xiaoming, CHU Jian

Frontiers of Chemical Science and Engineering 2008, Volume 2, Issue 1,   Pages 10-16 doi: 10.1007/s11705-008-0015-2

Abstract: The Runge-Kutta method is used to solve the ordinary differential equations of the model.reaction kinetic parameters are benchmarked with several sets of balanced plant data and estimated by the differential

Keywords： ordinary differential     Runge-Kutta     catalyst deactivation     C-paraffins     optimization    

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Data-Driven Discovery of Stochastic Differential Equations Article

Yasen Wang, Huazhen Fang, Junyang Jin, Guijun Ma, Xin He, Xing Dai, Zuogong Yue, Cheng Cheng, Hai-Tao Zhang, Donglin Pu, Dongrui Wu, Ye Yuan, Jorge Gonçalves, Jürgen Kurths, Han Ding

Engineering 2022, Volume 17, Issue 10,   Pages 244-252 doi: 10.1016/j.eng.2022.02.007

Abstract:

Stochastic differential equations (SDEs) are mathematical models that are widely used to describe

Keywords： Data-driven method     System identification     Sparse Bayesian learning     Stochastic differential equations    

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A review on membrane distillation in process engineering: design and exergy equations, materials and

Frontiers of Chemical Science and Engineering 2022, Volume 16, Issue 5,   Pages 592-613 doi: 10.1007/s11705-021-2105-3

Abstract: One of the problems that most afflicts humanity is the lack of clean water. Water stress, which is the pressure on the quantity and quality of water resources, exists in many places throughout the World. Desalination represents a valid solution to the scarcity of fresh water and several technologies are already well applied and successful (such as reverse osmosis), producing about 100 million m3·d−1 of fresh water. Further advances in the field of desalination can be provided by innovative processes such as membrane distillation. The latter is of particular interest for the treatment of waste currents from conventional desalination processes (for example the retentate of reverse osmosis) as it allows to desalt highly concentrated currents as it is not limited by concentration polarization phenomena. New perspectives have enhanced research activities and allowed a deeper understanding of mass and heat transport phenomena, membrane wetting, polarization phenomena and have encouraged the use of materials particularly suitable for membrane distillation applications. This work summarizes recent developments in the field of membrane distillation, studies for module length optimization, commercial membrane modules developed, recent patents and advancement of membrane material.

Keywords： membrane distillation     recent developments     heat and mass transfer     wetting     membrane material    

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Tuned reactive power dispatch through modified differential evolution technique

S. BISWAS (RAHA), N. CHAKRABORTY

Frontiers in Energy 2012, Volume 6, Issue 2,   Pages 138-147 doi: 10.1007/s11708-012-0188-8

Abstract: This paper explores the capability of modified differential evolution (MDE) technique for solving theThe proposed method is based on the basic differential evolution (DE) technique with a few modifications

Keywords： reactive power dispatch (RPD)     modified differential evolution (MDE)     differential evolution algorithm    

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Parametric equations for notch stress concentration factors of rib–deck welds under bending loading

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 3,   Pages 595-608 doi: 10.1007/s11709-021-0720-1

Abstract: The effective notch stress approach for evaluating the fatigue strength of rib–deck welds requires notch stress concentration factors obtained from complex finite element analysis. To improve the efficiency of the approach, the notch stress concentration factors for three typical fatigue-cracking modes (i.e., root–toe, root–deck, and toe–deck cracking modes) were thoroughly investigated in this study. First, we developed a model for investigating the effective notch stress in rib–deck welds. Then, we performed a parametric analysis to investigate the effects of multiple geometric parameters of a rib–deck weld on the notch stress concentration factors. On this basis, the multiple linear stepwise regression analysis was performed to obtain the optimal regression functions for predicting the notch stress concentration factors. Finally, we employed the proposed formulas in a case study. The notch stress concentration factors estimated from the developed formulas show agree well with the finite element analysis results. The results of the case study demonstrate the feasibility and reliability of the proposed formulas. It also shows that the fatigue design curve of FAT225 seems to be conservative for evaluating the fatigue strength of rib–deck welds.

Keywords： notch stress concentration factor     rib–deck weld     parametric analysis     regression analysis     parametric equation    

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Study of bond strength between various grade of Ordinary Portland Cement (OPC) and Portland Pozzolane

A D POFALE, S P WANJARI

Frontiers of Structural and Civil Engineering 2013, Volume 7, Issue 1,   Pages 39-45 doi: 10.1007/s11709-013-0193-y

Abstract: There are many literatures available on bond strength of concrete mixes using Ordinary Portland Cement

Keywords： bond strength     Portland Pozzolane Cement (PPC) concrete     Ordinary Portland Cement (OPC) concrete     bond between    

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Review of MEMS differential scanning calorimetry for biomolecular study

Shifeng YU, Shuyu WANG, Ming LU, Lei ZUO

Frontiers of Mechanical Engineering 2017, Volume 12, Issue 4,   Pages 526-538 doi: 10.1007/s11465-017-0451-0

Abstract:

Differential scanning calorimetry (DSC) is one of the few techniques that allow direct determination

Keywords： differential scanning calorimetry     biomolecule     MEMS     thermodynamic    

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Extending blending proportions of ordinary Portland cement and calcium sulfoaluminate cement blends:

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 5,   Pages 1249-1260 doi: 10.1007/s11709-021-0770-4

Abstract: This study extended blending proportion range of ordinary Portland cement (OPC) and calcium sulfoaluminate

Keywords： calcium sulfoaluminate cement     cement blends     hydration reaction     setting     workability     compressive strength    

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Neuro-heuristic computational intelligence for solving nonlinear pantograph systems Article

Muhammad Asif Zahoor RAJA, Iftikhar AHMAD, Imtiaz KHAN, Muhammed Ibrahem SYAM, Abdul Majid WAZWAZ

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 4,   Pages 464-484 doi: 10.1631/FITEE.1500393

Abstract: the solution for initial value problems (IVPs) of nonlinear pantograph systems based on functional differentialequations (P-FDEs) of different orders.

Keywords： Neural networks     Initial value problems (IVPs)     Functional differential equations (FDEs)     Unsupervised    

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Some Scientific Problems in Proca's Theory Study

Huang Zhixun

Strategic Study of CAE 2005, Volume 7, Issue 3,   Pages 6-12

Abstract: In other-wise, for a massive photon the Maxwell equations get replaced by the Proca equations.

The main, linear extensions of Maxwell equations are the Proca equations (1936) and the Ohmaraequations (1956).

Keywords： special relativity     Maxwell equations     Proca equations     velocity of EM-waves     rest mass of photon    

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Solving multi-objective optimal power flow problem considering wind-STATCOM using differential evolution

Belkacem MAHDAD, K. SRAIRI

Frontiers in Energy 2013, Volume 7, Issue 1,   Pages 75-89 doi: 10.1007/s11708-012-0222-x

Abstract: In this paper, a simple strategy based differential evolution was proposed for solving the problem of

Keywords： differential evolution     multi-objective function     optimal power flow     economic dispatch     valve point effect    

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The Durability of Alkali-Activated Materials in Comparison with Ordinary Portland Cements and Concretes Review

Aiguo Wang, Yi Zheng, Zuhua Zhang, Kaiwei Liu, Yan Li, Liang Shi, Daosheng Sun

Engineering 2020, Volume 6, Issue 6,   Pages 695-706 doi: 10.1016/j.eng.2019.08.019

Abstract:

China is the largest producer and user of ordinary Portland cement (OPC), and the rapid growth of

Keywords： Alkali-activated materials     Geopolymer     Durability     Ordinary Portland cement     Deterioration mechanism    

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Title Author Date Type Operation

Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM

M. R. AKBARI,D. D. GANJI,A. MAJIDIAN,A. R. AHMADI

Journal Article

Analyzing the service availability of mobile cloud computing systems by fluid-flow approximation

Hong-wu LV,Jun-yu LIN,Hui-qiang WANG,Guang-sheng FENG,Mo ZHOU

Journal Article

Scrutiny of non-linear differential equations Euler-Bernoulli beam with large rotational deviation by

M. R. AKBARI,M. NIMAFAR,D. D. GANJI,M. M. AKBARZADE

Journal Article

Kinetic model for hydroisomerization reaction of C-aromatics

XU Ouguan, SU Hongye, JIN Xiaoming, CHU Jian

Journal Article

Data-Driven Discovery of Stochastic Differential Equations

Yasen Wang, Huazhen Fang, Junyang Jin, Guijun Ma, Xin He, Xing Dai, Zuogong Yue, Cheng Cheng, Hai-Tao Zhang, Donglin Pu, Dongrui Wu, Ye Yuan, Jorge Gonçalves, Jürgen Kurths, Han Ding

Journal Article

A review on membrane distillation in process engineering: design and exergy equations, materials and

Journal Article

Tuned reactive power dispatch through modified differential evolution technique

S. BISWAS (RAHA), N. CHAKRABORTY

Journal Article

Parametric equations for notch stress concentration factors of rib–deck welds under bending loading

Journal Article

Study of bond strength between various grade of Ordinary Portland Cement (OPC) and Portland Pozzolane

A D POFALE, S P WANJARI

Journal Article

Review of MEMS differential scanning calorimetry for biomolecular study

Shifeng YU, Shuyu WANG, Ming LU, Lei ZUO

Journal Article

Extending blending proportions of ordinary Portland cement and calcium sulfoaluminate cement blends:

Journal Article

Neuro-heuristic computational intelligence for solving nonlinear pantograph systems

Muhammad Asif Zahoor RAJA, Iftikhar AHMAD, Imtiaz KHAN, Muhammed Ibrahem SYAM, Abdul Majid WAZWAZ

Journal Article

Some Scientific Problems in Proca's Theory Study

Huang Zhixun

Journal Article

Solving multi-objective optimal power flow problem considering wind-STATCOM using differential evolution

Belkacem MAHDAD, K. SRAIRI

Journal Article

The Durability of Alkali-Activated Materials in Comparison with Ordinary Portland Cements and Concretes

Aiguo Wang, Yi Zheng, Zuhua Zhang, Kaiwei Liu, Yan Li, Liang Shi, Daosheng Sun

Journal Article