Results 101 to 110 of about 12,954,008 (270)

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
doaj   +2 more sources

Initial value problems for Caputo fractional equations with singular nonlinearities

Electronic Journal of Differential Equations, 2019
We consider initial value problems for Caputo fractional equations of the form $D_{C}^{\alpha}u=f$ where f can have a singularity. We consider all orders and prove equivalences with Volterra integral equations in classical spaces such as $C^{m}[0,T]
Jeffrey R. L. Webb
doaj  

Operators and initial-value problems [PDF]

Proceedings of the American Mathematical Society, 1953
openaire   +1 more source

Microstructure Reconstruction in Battery Electrodes Using Machine Learning Based on Low‐Voltage Focused Ion Beam–Scanning Electron Microscopy Tomography Images

Advanced Engineering Materials, EarlyView.
Low‐voltage FIB‐SEM tomography combined with a image preprocessing pipeline improves phase contrast and enables reliable machine‐learning segmentation of conductive networks in lithium‐ion battery electrodes. Structural descriptors are extracted from segmented images, done semimanually and automated, and compared.
Lisa Beran, Vincent Nebel, Dominik Perius, Kshitij Kumar, Yannis Heim, Laura Bies, Tobias Kraus   +6 more
wiley   +1 more source

Reproducing kernel methods for solving linear initial-boundary-value problems

Electronic Journal of Differential Equations, 2008
In this paper, a reproducing kernel with polynomial form is used for finding analytical and approximate solutions of a second-order hyperbolic equation with linear initial-boundary conditions.
Li-Hong Yang, Yingzhen Lin
doaj  

A Chebyshev polynomial based block integrator for the direct numerical solution of fourth order ordinary differential equations

Journal of Nigerian Society of Physical Sciences
This paper introduces an innovative method for numerically integrating fourth-order initial value problems by utilizing Chebyshev polynomials as the fundamental basis function.
Oladotun Ogunlaran, Michael Kehinde, Moses Akanbi, Emmanuel Akinola   +3 more
doaj   +1 more source

Initial value problems for system of differential-algebraic equations in Maple. [PDF]

BMC Res Notes, 2018
Thota S.
europepmc   +1 more source

Influence of Scan Strategies in Electron Beam Powder Bed Fusion on Solidification, Microstructure, and High‐Temperature Compressive Properties of γ′‐Strengthened Inconel 738LC

Advanced Engineering Materials, EarlyView.
Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati, Karthik Kumar Banku, Prasanth Bondi, Ivan Zhirnov, Yangyiwei Yang, Gordon Schmidt, Jürgen Christen, Georg Hasemann, Manja Krüger, Bai‐Xiang Xu, Bilal Gökce, Silja‐Katharina Rittinghaus   +11 more
wiley   +1 more source

Strongly nonlinear parabolic initial-boundary value problems in Orlicz spaces

Electronic Journal of Differential Equations, 2002
problems. We also prove some compactness results in inhomogeneous Orlicz-Sobolev spaces.
Abdelhak Elmahi
doaj  

New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design

Advanced Engineering Materials, EarlyView.
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare, Y. Beideler, D. Chune, R. De Guio, T. Roland, H. Chibane   +5 more
wiley   +1 more source