Results 41 to 50 of about 1,664 (89)
Crank–Nicolson Method for the Advection-Diffusion Equation Involving a Fractional Laplace Operator
Abstract and Applied AnalysisMSC2020 Classification: 35R11; 35S15; 65M12.
Martin Nitiema +2 more
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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 +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
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, 2015 The Douglas--Rachford and Peaceman--Rachford splitting methods are common choices for temporal discretizations of evolution equations. In this paper we combine these methods with spatial discretizations fulfilling some easily verifiable criteria.
Hansen, Eskil, Henningsson, Erik
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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 +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 +2 more
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Efficient PML for the wave equation [PDF]
, 2009 In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard second-order ...
Grote, Marcus J., Sim, Imbo
core
Generation of subordinated holomorphic semigroups via Yosida's theorem
, 2014 Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
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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
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On the Convergence of Space-Time Discontinuous Galerkin Schemes for Scalar Conservation Laws
, 2015 We prove convergence of a class of space-time discontinuous Galerkin schemes for scalar hyperbolic conservation laws. Convergence to the unique entropy solution is shown for all orders of polynomial approximation, provided strictly monotone flux ...
May, Georg, Zakerzadeh, Mohammad
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