Results 31 to 40 of about 105 (103)

A Fitted Linear Multistep Approach for Singularly Perturbed Parabolic‐Type Reaction–Diffusion Problems Using Shishkin Meshes

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper presents a class of singularly perturbed parabolic‐type reaction diffusion problems. Due to the presence of a small parameter ε, (0 < ε ≪ 1) as a diffusion coefficient, the proposed problem exhibits twin boundary layers in the neighborhood of the end points of the spatial domain near x = 0 and x = 1.
Amare Worku Demsie, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Theodore Simos   +3 more
wiley   +1 more source

On the Two-phase Fractional Stefan Problem

Advanced Nonlinear Studies, 2020
The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix, Endal Jørgen, Vázquez Juan Luis   +2 more
doaj   +1 more source

Testing reliability and validity of practitioner‐rated parental sensitivity: A novel tool for practice

Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.
Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer, Mirjam Oosterman, Anne Tharner, Carlo Schuengel   +3 more
wiley   +1 more source

LDG schemes with second order implicit time discretization for a fractional sub-diffusion equation

Results in Applied Mathematics, 2019
In this paper, we propose new local discontinuous Galerkin (LDG) schemes for solving a time fractional sub-diffusion equation. The new LDG schemes is constructed rely on the splitting of time fractional derivative and space derivative.
Can Li, Xiaorui Sun, Fengqun Zhao
doaj   +1 more source

Fast solution strategies for time-space fractional linear complementarity problems governing American options pricing

Demonstratio Mathematica
Fractional derivatives are widely used in various fields to model the historical dependence or spatial globalization of the solutions because of their nonlocal properties.
Chen Xu, Lei Siu-Long, She Zi-Hang, Wang Wenfei   +3 more
doaj   +1 more source

An adaptive mesh method for time dependent singularly perturbed differential-difference equations

Nonlinear Engineering, 2019
In this paper, a time dependent singularly perturbed differential-difference convection-diffusion equation is solved numerically by using an adaptive grid method. Similar boundary value problems arise in computational neuroscience in determination of the
Pramod Chakravarthy P., Kumar Kamalesh
doaj   +1 more source

Existence and uniqueness results of solutions for a new class of parabolic varitional inequalities related with impulse control problem

Nonlinear Engineering
In this work, we establish novel existence and uniqueness results for parabolic quasi-variational inequalities (PQVIs) by developing a structured four-phase numerical framework.
Boulaaras Salah, Guefaifia Rafik, Haiour Mohamed   +2 more
doaj   +1 more source

High-order numerical methods with stability analysis for Caputo–Riesz fractional reaction-diffusion models in three dimensions

Demonstratio Mathematica
In this paper, we propose and study a new ternary three-dimensional fractional reaction-diffusion model. The model combines Caputo fractional derivatives in time with Riesz fractional derivatives in space.
Kosari Saeed, Guan Hao
doaj   +1 more source

Well-posedness and maximum principles for lattice reaction-diffusion equations

Advances in Nonlinear Analysis, 2017
Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín, Stehlík Petr, Volek Jonáš   +2 more
doaj   +1 more source

Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]

BMC Res Notes, 2023
Negero NT.
europepmc   +1 more source