Results 61 to 70 of about 36,538 (210)
Numerical studies for solving fractional integro-differential equations
Journal of Ocean Engineering and Science, 2018 In this paper, we give a new numerical method for solving a linear system of fractional integro-differential equations. The fractional derivative is considered in the Caputo sense.
A.M.S. Mahdy
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
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Abstract and Applied Analysis, 2010 A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered. We introduce the reasonable PC-α-mild solution of second-
Y. Peng
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Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
Axioms, 2019 Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints.
Shin Min Kang +3 more
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A fast and precise method to solve the Altarelli-Parisi equations in x space [PDF]
, 2001 A numerical method to solve linear integro-differential equations is presented. This method has been used to solve the QCD Altarelli-Parisi evolution equations within the H1 Collaboration at DESY-Hamburg. Mathematical aspects and numerical approximations
Pascaud, C., Zomer, F.
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Schauder estimates for solutions of linear parabolic integro-differential equations
, 2014 We prove optimal pointwise Schauder estimates in the spatial variables for solutions of linear parabolic integro-differential equations. Optimal H\"older estimates in space-time for those spatial derivatives are also obtained.Comment: Submitted, 26 ...
Jin, Tianling, Xiong, Jingang
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A Peridynamic Framework for Modeling Progressive Failure in Porous Sandstone Indentation
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 6, Page 2727-2743, 25 April 2026.ABSTRACT A state‐based peridynamic model is proposed to simulate the failure mechanisms in porous rocks, using Bentheim sandstone as a specific example. Experimental observations reveal a transition from brittle to ductile failure under increasing triaxial compression. This behavior is attributed to pore compaction. The peridynamic model is enhanced to
Sahir N. Butt +2 more
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An ordinary integro-differential equation with a degenerate kernel and an integral condition
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
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Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
, 2010 We study waves in a rod of finite length with a viscoelastic constitutive equation of fractional distributed-order type for the special choice of weight functions.
Agraval +29 more
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Non‐Markovian Exceptional Points in Waveguide Quantum Electrodynamics
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Non‐Markovian waveguide‐QED systems exhibit dynamical transitions governed by exceptional points arising from retardation and interference. Giant atoms and spatially separated emitters display oscillatory relaxation and real zeros in the excited‐state amplitude at critical delay times.
Stefano Longhi
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