[HTML][HTML] Modeling plant water deficit by a non-local root water uptake term in the unsaturated flow equation

M Berardi, G Girardi - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
In this paper we present a novel way to mathematically frame the concept of ecological
memory of plant water stress in the context of root water uptake in unsaturated flow …

Mittag-Leffler stability and synchronization for FOQVFNNs including proportional delay and Caputo derivative via fractional differential inequality approach

H Zhang, C Wang, W Zhang, H Zhang - Computational and Applied …, 2022 - Springer
This article discusses the dynamics of Caputo fractional-order quaternion-valued fuzzy
neural networks (FOQVFNNs) including proportional delay and derivative order interval (0 …

A fast-convolution based space–time Chebyshev spectral method for peridynamic models

L Lopez, SF Pellegrino - Advances in Continuous and Discrete Models, 2022 - Springer
Peridynamics is a nonlocal generalization of continuum mechanics theory which addresses
discontinuous problems without using partial derivatives and replacing them by an integral …

Efficient second-order accurate exponential time differencing for time-fractional advection-diffusion-reaction equations with variable coefficients

IO Sarumi, KM Furati, AQM Khaliq - Mathematics and Computers in …, 2024 - Elsevier
Time-fractional advection-diffusion-reaction type equations are useful for characterizing
anomalous transport processes. In this paper, linearly implicit as well as explicit generalized …

Stability analysis study for the time-fractional Galilei invariant advection-diffusion model of distributive order using an efficient hybrid approach

R Cai, S Kosari, MH Derakhshan - Physica Scripta, 2024 - iopscience.iop.org
In this manuscript, a new model of the time-fractional Galilei-invariant advection-diffusion
model of distributed order is studied. An efficient hybrid numerical approach with high …

An Easy-To-Use Tool to Solve Differential Equations with the Fractional Laplacian

FV Difonzo, R Garrappa - IFAC-PapersOnLine, 2024 - Elsevier
Numerical simulation of fractional-order partial differential equations is a challenging task
and the majority of computing environments does not provide support for these problems. In …

A fast and high-order IMEX method for non-linear time-space-fractional reaction-diffusion equations

K Kazmi - Numerical Algorithms, 2024 - Springer
An efficient and high-order numerical method is presented for solving a time-space-
fractional reaction-diffusion equation. Matrix transfer technique based on fourth-order …

Richards' equation with non-local root water uptake modeling plant water deficit

M Berardi, G Girardi - Available at SSRN 4325755, 2022 - papers.ssrn.com
In this paper we present a novel way to mathematically frame the concept of ecological
memory of plant water stress in the context of root water uptake in unsaturated flow …

MESHLESS METHODS FOR SOLVING REACTION-DIFFUSION PROBLEMS-A BRIEF REVIEW

MIP Hidayat, R Ruzuqi, VD Waas - MATERIALS RESEARCH …, 2020 - iptek.its.ac.id
Reaction-diffusion equations represent many important and critical applications in
engineering and science. Numerical techniques play an important role for solving such …