Results 81 to 90 of about 11,559,130 (198)
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian +4 more
wiley +1 more source
Abstract and Applied Analysis, 2012 This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang +2 more
doaj +1 more source
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source
Studying a system of non-local condition hyperbolic equations
Қарағанды университетінің хабаршысы. Математика сериясыLocal boundary value problems for hyperbolic differential equations have been studied in considerable detail. However, the mathematical modeling of a number of real-world processes leads to nonlocal boundary value problems involving nonlinear hyperbolic
Y.A. Sharifov, A.R. Mammadli
doaj +1 more source
A Stable Difference Scheme for a Third-Order Partial Differential Equation
Современная математика: Фундаментальные направления, 2018 The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert space H with a self-adjoint positive definite operator A is considered.
A Ashyralyev, Kh Belakroum
doaj +1 more source
Integrating Grain to Ground Motion Data for Critical Rock Bridge and Slope Failure Analysis
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Rock masses can fail catastrophically with little warning, yet their stability depends on hidden internal connections that channel forces and localise damage. Among these, rock bridges–a “known unknown” in slope mechanics–lock fractured rock and control how failure unfolds, but their concealed geometry and uncertain strength obscure where and ...
Antoinette Tordesillas +5 more
wiley +1 more source
Small Methods, EarlyView.Van der Waals interactions are reviewed through the lens of advanced atomic force microscopy, highlighting recent progress in nanoscale quantification of Hamaker constants. Emerging methodologies enable high‐resolution mapping of intermolecular forces in 2D materials and biological systems, bridging experimental measurements with quantum‐informed ...
Amir Farokh Payam +2 more
wiley +1 more source
Coupled systems of boundary value problems with nonlocal boundary conditions
Applied Mathematics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
A Numerical Method for a Nonlocal Elliptic Boundary Value Problem
Journal of Integral Equations and Applications, 2008 The problem under consideration is \[ -\alpha\left(\int_0^1{u(t)\,dt}\right)u''=f(x ...
Cannon, John R., Galiffa, Daniel J.
openaire +3 more sources
On nonlinear spectra for some nonlocal boundary value problems
Mathematical Modelling and Analysis, 2008 We consider a second order nonlinear differential equation with nonlocal (integral) condition. The spectrum of it differs essentially from the known ones.
Natalija Sergejeva
doaj +1 more source