Results 91 to 100 of about 4,008,929 (272)
Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
Advances in Difference Equations, 2019 Herein, we use the generalized Lucas polynomials to find an approximate numerical solution for fractional initial value problems (FIVPs). The method depends on the operational matrices for fractional differentiation and integration of generalized Lucas ...
Mahmoud M. Mokhtar, Amany S. Mohamed
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Generalized Du Fort-Frankel methods for parabolic initial boundary value problems [PDF]
The Du Fort-Frankel difference scheme is generalized to difference operators of arbitrary high order accuracy in space and to arbitrary order of the parabolic differential operator. Spectral methods can also be used to approximate the spatial part of the
Gottlieb, D., Gustafsson, B.
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
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Nonlinear initial boundary-value problems with Riesz fractional derivative
Electronic Journal of Differential Equations, 2015 We consider an initial boundary-value problem for a nonlinear partial differential equation with fractional derivative of Riesz type on a half-line.
Martin P. Arciga-Alejandre
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Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control
Advanced Engineering Materials, EarlyView.This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian +4 more
wiley +1 more source
On the solutions of a nonlinear system of q-difference equations
Boundary Value ProblemsIn this paper, we examine the existence and uniqueness of solutions for a system of the first-order q-difference equations with multi-point and q-integral boundary conditions using various fixed point (fp) theorems.
Nihan Turan +2 more
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Advanced Engineering Materials, EarlyView.The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi +3 more
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What Do Large Language Models Know About Materials?
Advanced Engineering Materials, EarlyView.If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer +2 more
wiley +1 more source
A class of numerical methods for autonomous initial value problems
Journal of Numerical Analysis and Approximation Theory, 2012 In this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems for first order differential equations, using a nonlinear interpolation formula. We show that the methods generated in
Flavius Olimpiu Pătrulescu
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