Results 61 to 70 of about 55,209 (306)
A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation [PDF]
, 2014 In recent years, it has been found that many phenomena in engineering, physics, chemistry and other sciences can be described very successfully by models using mathematical tools from Fractional Calculus.
Liu, Fawang +6 more
core +1 more source
Green's functions and existence of solutions of nonlinear fractional implicit difference equations with Dirichlet boundary conditions [PDF]
Opuscula MathematicaThis article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In this case, due to the points where some of the fractional operators are
Alberto Cabada +2 more
doaj +1 more source
The Implicit Equation of a Holditch Curve
Bulletin of the Malaysian Mathematical Sciences SocietyAbstractHolditch’s theorem is a classical geometrical result on the areas of a given closed curve and another one, its Holditch curve, which is constructed as the locus of a fixed point dividing a chord of constant length that moves with its endpoints over the given curve and that returns back to its original position after some full revolution ...
Juan Monterde, David Rochera
openaire +3 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
Finite to infinite steady state solutions, bifurcations of an integro-differential equation
, 2011 We consider a bistable integral equation which governs the stationary solutions of a convolution model of solid–solid phase transitions on a circle. We study the bifurcations of the set of the stationary solutions as the diffusion coefficient is varied to ...
Grinfeld, Michael +12 more
core +1 more source
Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials
, 2021 We consider the two-dimensional Cahn-Hilliard equation with logarithmic potentials and periodic boundary conditions. We employ the standard semi-implicit numerical scheme, which treats the linear fourth-order dissipation term implicitly and the nonlinear
TANG, Tao, LI, Dong
core +1 more source
Solving of the Exner equation for morphologically complex bed [PDF]
Компьютерные исследования и моделирование, 2019 The Exner equation in conjunction phenomenological sediment transport models is widely used for mathematical modeling non-cohesive river bed. This approach allows to obtain an accurate solution without any difficulty if one models evolution of simple ...
Igor’ Ivanovich Potapov +1 more
doaj +1 more source
A Lightweight Procedural Layer for Hybrid Experimental–Computational Workflows in Materials Science
Advanced Engineering Materials, EarlyView.We unveil a prototype hybrid‐workflow framework that fuses automatedcomputation with hands‐on experiments. Built atop pyiron, a lightweight, parameterized layer translates procedure descriptions into executable manual steps, syncing instrument settings, human interventions, and data capture in real‐time today.
Steffen Brinckmann +8 more
wiley +1 more source
Numerical solution of the Falkner-Skan equation using third-order and high-order-compact finite difference schemes [PDF]
, 2011 We present a computational study of the solution of the Falkner-Skan equation (a third-order boundary value problem arising in boundary-layer theory) using high-order and high-order-compact finite differences schemes.
Galeano, Carlos +5 more
core +1 more source