FDA Express

FDA Express    Vol. 34, No. 3, Mar 30, 2020

 

All issues: http://jsstam.org.cn/fda/

Editors: http://jsstam.org.cn/fda/Editors.htm

Institute of Soft Matter Mechanics, Hohai University
For contribution: shuhong@hhu.edu.cn, fdaexpress@hhu.edu.com

For subscription: http://jsstam.org.cn/fda/subscription.htm

PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol34_No3_2020.pdf


 

◆  Latest SCI Journal Papers on FDA

(Searched on Mar 30, 2020)

 

  Call for Papers

Fractional Calculus in Magnetic Resonance

Applications of Mathematics in Engineering and Economics

 

◆  Books

Waves with Power-Law Attenuation

 

◆  Journals

International Journal of Heat and Mass Transfer

Computer Methods in Applied Mechanics and Engineering

 

  Paper Highlight

Modeling Turbulent Flows in Porous Media

Improved singular boundary method and dual reciprocity method for fractional derivative Rayleigh–Stokes problem

 

  Websites of Interest

Fractal Derivative and Operators and Their Applications

Fractional Calculus & Applied Analysis

 

 

 

 

 

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 Latest SCI Journal Papers on FDA

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(Searched on Mar 31, 2020)



 Neumann method for solving conformable fractional Volterra integral equations

By: Ilie, Mousa; Biazar, Jafar; Ayati, Zainab
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 54-68 Published: WIN 2020


 Legendre-collocation spectral solver for variable-order fractional functional differential equations

By: Hafez, Ramy Mahmoud; Youssri, Youssri Hassan
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 99-110 Published: WIN 2020


 Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter

By: Najafi, Ramin
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 111-118 Published: WIN 2020


 k-fractional integral inequalities of Hadamard type for (h-m)-convex functions

By: Farid, Ghulam; Rehman, Atiq Ur; Ul Ain, Qurat
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 119-140 Published: WIN 2020


 Impulsive initial value problems for a class of implicit fractional differential equations

By: Shaikh, Amjad Salim; Sontakke, Bhausaheb R.
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 141-154 Published: WIN 2020


 A Study on Functional Fractional Integro-Differential Equations of Hammerstein type

By: Saeedi, Leila; Tari, Abolfazl; Babolian, Esmail
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 173-193 Published: WIN 2020


 A new method for constructing exact solutions for a time-fractional differential equation

By: Lashkarian, Elham; Hejazi, Seyed Reza; Habibi, Noora
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 194-204 Published: WIN 2020


 The solving integro-differential equations of fractional order with the ultraspherical functions

By: Panahi, Saeid; Khani, Ali
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 205-211 Published: WIN 2020


 Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations

By: Aliev, Fikrat Ahmadali; Aliev, Nihan; Safarova, Nargis; etc..
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS Volume: 8 Issue: 1 Pages: 212-221 Published: WIN 2020


 Discrete fractional Bihari inequality and uniqueness theorem of solutions of nabla fractional difference equations with non-Lipschitz nonlinearities

By: Wang, Mei; Jia, Baoguo; Chen, Churong; etc..
APPLIED MATHEMATICS AND COMPUTATION Volume: 376 Published: JUL 1 2020


 New numerical method for ordinary differential equations: Newton polynomial

By: Atangana, Abdon; Araz, Seda Igret
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 372 Published: JUL 2020


 High order numerical schemes for solving fractional powers of elliptic operators

By: Ciegis, Raimondas; Vabishchevich, Petr N.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 372 Published: JUL 2020


 On generalized fractional integral inequalities for twice differentiable convex functions

By: Mohammed, Pshtiwan Othman; Sarikaya, Mehmet Zeki
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 372 Published: JUL 2020


 Optimal attractors of the Kirchhoff wave model with structural nonlinear damping

By: Li, Yanan; Yang, Zhijian
JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 268 Issue: 12 Pages: 7741-7773 Published: JUN 5 2020


 An adaptive frequency-fixed second-order generalized integrator-quadrature signal generator using fractional-order conformal mapping based approach

By: Akhtar, M.A.; Saha, S.
IEEE Transactions on Power Electronics Volume: 35 Issue: 6 Pages: 5548-52 Published: June 2020


 Remaining Useful Life Prediction of Battery Using a Novel Indicator and Framework With Fractional Grey Model and Unscented Particle Filter

By: Lin Chen; Jing Chen; Huimin Wang; etc..
IEEE Transactions on Power Electronics Volume: 35 Issue: 6 Pages: 5850-9 Published: June 2020


 Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations

By: Xu, Da; Guo, Jing; Qiu, Wenlin
APPLIED NUMERICAL MATHEMATICS Volume: 152 Pages: 169-184 Published: JUN 2020



 A Chebyshev pseudo-spectral method for the multi-dimensional fractional Rayleigh problem for a generalized Maxwell fluid with Robin boundary conditions

By: Oloniiju, Shina D.; Goqo, Sicelo P.; Sibanda, Precious
APPLIED NUMERICAL MATHEMATICS Volume: 152 Pages: 253-266 Published: JUN 2020

 

 

 

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Call for Papers

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Fractional Calculus in Magnetic Resonance

(Special Issue in MDPI Journal, Mathematics (ISSN 2227-739))

The purpose of this Special Issue is to gather articles reflecting the latest developments of fractional calculus in the fields of nuclear magnetic resonance (NMR), electron spin resonance (ESR), and magnetic resonance imaging (MRI). Applications employing fractional calculus in the sub-disciplines of NMR/ESR spectroscopy, relaxation, diffusion, and MRI are encouraged..

Keywords:

-Fractional calculus
-Magnetic resonance
-Magnetic resonance imaging
-Nuclear magnetic resonance
-Electron spin resonance
-Spectroscopy
-Relaxation
-Diffusion

Manuscript Submission Information:

Deadline for manuscript submissions: 31 December 2020


All details on this special issue are now available at: https://www.mdpi.com/journal/mathematics/special_issues/Fractional_Calculus_Magnetic_Resonance .

 
 

Applications of Mathematics in Engineering and Economics
Special Session "Fractional Calculus, Special Functions and Applications"

( June 7-13, 2020, Sozopol, Bulgaria)

Due to the extraordinary Coronavirus pandemic situation the AMEE’20 Conference will take place virtually. More details about the organization will be announced on the website.

The Conference will cover the following topics:

-Mathematical Analysis and Applications
-Differential Equations
-Differential Geometry
-Operations Research, Economics, Programming
-Numerical Methods and Mathematical Modeling
-Statistics, Probability theory
-Software Innovations in Scientific Computing
-Informatics and Software Sciences
-E-learning

Important Dates:

Abstract submission: April 30, 2020
Declaration of participation: May 19, 2020
Full manuscript submission to the proceedings editor: July 15, 2020
Sending of the reviewed and revised papers to AIP: September 15, 2020


All details on this conference are now available at: http://amee.tu-sofia.bg/.

Consulting E-mail: conference secretary amee@tu-sofia.bg , for the special session virginia@diogenes.bg

 
 

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Books

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Waves with Power-Law Attenuation

(Authors: Sverre Holm)

Details: https://link.springer.com/book/10.1007%2F978-3-030-14927-7

Introduction

This book integrates concepts from physical acoustics with those from linear viscoelasticity and fractional linear viscoelasticity. Compressional waves and shear waves in applications such as medical ultrasound, elastography, and sediment acoustics often follow power law attenuation and dispersion laws that cannot be described with classical viscous and relaxation models. This is accompanied by temporal power laws rather than the temporal exponential responses of classical models.
The book starts by reformulating the classical models of acoustics in terms of standard models from linear elasticity. Then, non-classical loss models that follow power laws and which are expressed via convolution models and fractional derivatives are covered in depth. In addition, parallels are drawn to electromagnetic waves in complex dielectric media. The book also contains historical vignettes and important side notes about the validity of central questions. While addressed primarily to physicists and engineers working in the field of acoustics, this expert monograph will also be of interest to mathematicians, mathematical physicists, and geophysicists.
Couples fractional derivatives and power laws and gives their multiple relaxation process interpretation Investigates causes of power law attenuation and dispersion such as interaction with hierarchical models of polymer chains and non-Newtonian viscosity Shows how fractional and multiple relaxation models are inherent in the grain shearing and extended Biot descriptions of sediment acoustics Contains historical vignettes and side notes about the formulation of some of the concepts discussed

Contents:

Acoustics and Linear Viscoelasticity
–Front Matter
–Classical Wave Equations
–Models of Linear Viscoelasticity
–Absorption Mechanisms and Physical Constraints
Modeling of Power-Law Media –Front Matter
–Power-Law Wave Equations from Constitutive Equations
–Phenomenological Power-Law Wave Equations
–Justification for Power Laws and Fractional Models
–Power Laws and Porous Media
–Power Laws and Fractal Scattering Media
–Back Matter

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 Journals

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International Journal of Heat and Mass Transfer

 (Selected)

 


 Time-fractional subdiffusion model for thin metal films under femtosecond laser pulses based on Caputo fractional derivative to examine anomalous diffusion process

Milad Mozafarifard, Davood Toghraie


 Comparison of mathematical models with fractional derivative for the heat conduction inverse problem based on the measurements of temperature in porous aluminum

Rafał Brociek, Damian Słota, Mariusz Król, Grzegorz Matula, Waldemar Kwaśny


 A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws

Devendra Kumar, Jagdev Singh, Kumud Tanwar, Dumitru Baleanu


 New approach to solving the atmospheric pollutant dispersion equation using fractional derivatives

Davidson Moreira, Paulo Xavier, Anderson Palmeira, Erick Nascimento


 Fractional order and memory-dependent analysis to the dynamic response of a bi-layered structure due to laser pulse heating

Yan Li, Pei Zhang, Chenlin Li, Tianhu He


 Effect of fractional parameter on thermoelastic half-space subjected to a moving heat source

Eman M. Hussein


 Numerical modeling and experimental validation of fractional heat transfer induced by gas adsorption in heterogeneous coal matrix

Jianhong Kang, Di Zhang, Fubao Zhou, Haijian Li, Tongqiang Xia


 Fractional Boltzmann transport equation for anomalous heat transport and divergent thermal conductivity

Shu-Nan Li, Bing-Yang Cao


 Weighted meshless spectral method for the solutions of multi-term time fractional advection-diffusion problems arising in heat and mass transfer

Manzoor Hussain, Sirajul Haq


 A fractional step lattice Boltzmann model for two-phase flow with large density differences

Chunhua Zhang, Zhaoli Guo, Yibao Li


 A spatial structural derivative model for the characterization of superfast diffusion/dispersion in porous media

Wei Xu, Yingjie Liang, Wen Chen, John H. Cushman


 A power-law liquid food flowing through an uneven channel with non-uniform suction/injection

Botong Li, Yikai Yang, Xuehui Chen

 

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Computer Methods in Applied Mechanics and Engineering

 (Selected)

 


 Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain

Kailai Xu, Eric Darve


 An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials

Will Zhang, Adela Capilnasiu, Gerhard Sommer, Gerhard A. Holzapfel, David A. Nordsletten


 A 3D non-orthogonal plastic damage model for concrete

Xin Zhou, Dechun Lu, Xiuli Du, Guosheng Wang, Fanping Meng


 Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn–Hilliard equation

Florian Frank, Andreas Rupp, Dmitri Kuzmin


 Physics driven real-time blood flow simulations

Sethuraman Sankaran, David Lesage, Rhea Tombropoulos, Nan Xiao, Hyun Jin Kim, David Spain, Michiel Schaap, Charles A.Taylor


 Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications

Siwei Duo, Yanzhi Zhang


 One-dimensional modeling of fractional flow reserve in coronary artery disease: Uncertainty quantification and Bayesian optimization

Minglang Yin, Alireza Yazdani, George Em Karniadakis


 Space–time adaptive finite elements for nonlocal parabolic variational inequalities

Heiko Gimperlein, Jakub Stocek


 Adaptive continuation solid isotropic material with penalization for volume constrained compliance minimization

Mohamed Tarek, Tapabrata Ray


 A fully partitioned Lagrangian framework for FSI problems characterized by free surfaces, large solid deformations and displacements, and strong added-mass effects

M. L. Cerquaglia, D. Thomas, R. Boman, V. Terrapon, J. -P. Ponthot


 Explicit and efficient topology optimization of frequency-dependent damping patches using moving morphable components and reduced-order models

Xiang Xie, Hui Zheng, Stijn Jonckheere, Wim Desmet


 Stabilized material point methods for coupled large deformation and fluid flow in porous materials

Yidong Zhao, Jinhyun Choo


 Nonlinear acceleration of sequential fully implicit (SFI) method for coupled flow and transport in porous media

Jiamin Jiang, Hamdi A. Tchelepi


 Fully Implicit multidimensional Hybrid Upwind scheme for coupled flow and transport

François P. Hamon, Bradley T. Mallison


 Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation

Laura Moreno, Ramon Codina, Joan Baiges, Ernesto Castillo


 Improved treatment of wall boundary conditions for a particle method with consistent spatial discretization

Takuya Matsunaga, Axel Södersten, Kazuya Shibata, Seiichi Koshizuka


 A simple non-iterative uncoupled algorithm for nonlinear pore-dynamic analyses

Delfim Soares

 

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 Paper Highlight

Modeling Turbulent Flows in Porous Media

Brian D. Wood, Xiaoliang He, Sourabh V. Apte 

Publication information: Annual Review of Fluid Mechanics, Vol. 52:171-203, 2020

https://doi.org/10.1146/annurev-fluid-010719-060317


Abstract

Turbulent flows in porous media occur in a wide variety of applications, from catalysis in packed beds to heat exchange in nuclear reactor vessels. In this review, we summarize the current state of the literature on methods to model such flows. We focus on a range of Reynolds numbers, covering the inertial regime through the asymptotic turbulent regime. The review emphasizes both numerical modeling and the development of averaged (spatially filtered) balances over representative volumes of media. For modeling the pore scale, we examine the recent literature on Reynolds-averaged Navier–Stokes (RANS) models, large-eddy simulation (LES) models, and direct numerical simulations (DNS). We focus on the role of DNS and discuss how spatially averaged models might be closed using data computed from DNS simulations. A Darcy–Forchheimer-type law is derived, and a prior computation of the permeability and Forchheimer coefficient is presented and compared with existing data.

 

Keywords

turbulence, porous media, closure, Darcy–Forchheimer law, direct numerical simulation, spatial averaging

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Improved singular boundary method and dual reciprocity method for fractional derivative Rayleigh–Stokes problem

 Farzaneh Safari, HongGuang Sun

Publication information: Engineering with Computers151, March 2020
https://doi.org/10.1007/s00366-020-00991-3


Keywords


Rayleigh–Stokes problem, Higher-order splines, Finite difference, Origin intensity factors

 

Abstract

The improved singular boundary method (ISBM) and dual reciprocity method (DRM) are coupled to solve fractional derivative the Rayleigh–Stokes problem with nonhomogeneous term. This method is free of mesh and integration, mathematically simple, and easy to program. Also, origin intensity factors (OIFs) significant techniques in ISBM make the method as a strong meshless method. First, the time-fractional derivative term in mentioned equation is discretized; then, ISBM–DRM is utilized to solve consequent equation. It is proved the method is unconditionally stable and convergent with convergence order O ( τ 1 + α ) . In addition, numerical results confirm the accuracy and efficiency of the presented scheme.

 

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