Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term by Hengfei Ding, Changpin Li

“…Two numerical algorithms are derived to compute the fractional diffusion-wave equation with a reaction term. Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we approximate Riemann-Liouville derivative by a second-order difference scheme. …”
Get full text

L1(R)-Nonlinear Stability of Nonlocalized Modulated Periodic Reaction-Diffusion Waves by Soyeun Jung

“…Assuming spectral stability conditions of periodic reaction-diffusion waves u¯(x), we consider L1(R)-nonlinear stability of modulated periodic reaction-diffusion waves, that is, modulational stability, under localized small initial perturbations with nonlocalized initial modulations. …”
Get full text

Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space by Kangqun Zhang

“…In this paper, we consider Cauchy problem of space-time fractional diffusion-wave equation. Applying Laplace transform and Fourier transform, we establish the existence of solution in terms of Mittag-Leffler function and prove its uniqueness in weighted Sobolev space by use of Mikhlin multiplier theorem. …”
Get full text

Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method by Fengying Zhou, Xiaoyong Xu

“…The second-kind Chebyshev wavelets collocation method is applied for solving a class of time-fractional diffusion-wave equation. Fractional integral formula of a single Chebyshev wavelet in the Riemann-Liouville sense is derived by means of shifted Chebyshev polynomials of the second kind. …”
Get full text

Time-Delayed Feedback Control of a Hydraulic Model Governed by a Diffusive Wave System by Boumediène Chentouf, Nejib Smaoui

“…This paper is concerned with the feedback flow control of an open-channel hydraulic system modeled by a diffusive wave equation with delay. Firstly, we put forward a feedback flow control subject to the action of a constant time delay. …”
Get full text

Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation by Mostafa Abbaszadeh, Mehdi Dehghan, Mahmoud A. Zaky, Ahmed S. Hendy

Get full text

Frequency multiplexed photothermal correlation tomography for non-destructive evaluation of manufactured materials by Pengfei Zhu, Rongbang Wang, Koneswaran Sivagurunathan, Stefano Sfarra, Fabrizio Sarasini, Clemente Ibarra-Castanedo, Xavier Maldague, Hai Zhang, Andreas Mandelis

Get full text

A Novel Numerical Treatment to One Dimensional Heat and Wave Equations with Second Order Accuracy by Muhammad Abid, Muhammad Shahid

“…The analysis employs finite difference techniques alongside multi-step Adams-Bashforth, Lax-Wendroff, CrankNicolson and Runge-Kutta time integration schemes for addressing heat (diffusion), wave (advection), and convection-diffusion equations over periodic and bounded domains. …”
Get full text

A generalized thermoelastic diffusion problem for an infinitely long solid cylinder by Moncef Aouadi

“…Numerical results predict finite speeds of propagation for thermoelastic and diffusive waves and the presence of a tensile stress region close to the cylinder surface. …”
Get full text

Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable by Najla M. Alarifi, Rabha W. Ibrahim

“…Moreover, as an application, we determine the upper bound of the generalized fractional 2-dimensional Saint-Venant equations (2D-SVE) of diffusive wave including the difference of bed slope.…”
Get full text

Effect of Co-fermentation with Streptococcus salivarius subsp. thermophilus and Bifidobacterium animalis subsp. lactis on Improving the Quality of Fermented Milk by LIU Zhizhong, LIU Liwei, LIU Zhigang, CHEN Haili, CUI Hong, YANG Bo, ZHANG Jiaqi, WU Rigeng, YAO Kai

“…Changes in microrheological properties during the fermentation process were studied using multi-frequency diffusing wave spectroscopy, and changes in pH, titratable acidity (TA), viable bacterial count (VBC), exopolysaccharide (EPS) content, viscosity, water-holding capacity (WHC), texture properties, and sensory evaluation were examined as well. …”
Get full text