Results 61 to 70 of about 1,456,699 (307)

Simplified iterative reproducing kernel method for handling time-fractional BVPs with error estimation

open access: yesAin Shams Engineering Journal, 2018
In this article, we introduce a novel numerical scheme, the iterative reproducing kernel method (IRKM), for providing numerical approximate solutions of a certain class of time-fractional boundary value problem within favorable aspects of the reproducing
Mohammed Al-Smadi
doaj   +1 more source

Novel Functional Materials via 3D Printing by Vat Photopolymerization

open access: yesAdvanced Functional Materials, EarlyView.
This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov   +3 more
wiley   +1 more source

Approximate solution to a multi-point boundary value problem involving nonlocal integral conditions by reproducing kernel method

open access: yesMathematical Modelling and Analysis, 2013
In this work, we investigate a sequence of approximations converging to the existing unique solution of a multi-point boundary value problem(BVP) given by a linear fourth-order ordinary differential equation with variable coeffcients involving nonlocal ...
Kemal Ozen, Kamil Orucoglu
doaj   +1 more source

Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems

open access: yesAIMS Mathematics, 2020
The aim of this paper is to develop an accurate symmetric collocation scheme for a class of linear stationary singular perturbation problems with two boundary layers.
F. Geng
semanticscholar   +1 more source

Photon Avalanching Nanoparticles: The Next Generation of Upconverting Nanomaterials?

open access: yesAdvanced Functional Materials, EarlyView.
This Perspective outlines the mechanistic foundations that enable photon‐avalanche (PA) behavior in lanthanide nanomaterials and contrasts them with emerging application spaces and forward‐looking design strategies. By bridging threshold engineering, energy‐transfer dynamics, and materials engineering, we provide a coherent roadmap for advancing the ...
Kimoon Lee   +7 more
wiley   +1 more source

Approximate Solutions to Three-Point Boundary Value Problems with Two-Space Integral Condition for Parabolic Equations

open access: yesAbstract and Applied Analysis, 2012
We construct a novel reproducing kernel space and give the expression of reproducing kernel skillfully. Based on the orthogonal basis of the reproducing kernel space, an efficient algorithm is provided firstly to solve a three-point boundary value ...
Jing Niu, Yingzhen Lin, Minggen Cui
doaj   +1 more source

Detecting Inverse Boundaries by Weighted High-Order Gradient Collocation Method

open access: yesMathematics, 2020
The weighted reproducing kernel collocation method exhibits high accuracy and efficiency in solving inverse problems as compared with traditional mesh-based methods.
Judy P. Yang, Hon Fung Samuel Lam
doaj   +1 more source

A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2018
In the present paper, we propose a method to solve a class of weakly singular Fredholm integral equations of the second kind in reproducing kernel spaces.
D. Hamedzadeh, E. Babolian
doaj   +1 more source

BACH, a Bayesian Optimization Protocol for Accurate Coarse‐Grained Parameterization of Organic Liquids

open access: yesAdvanced Functional Materials, EarlyView.
We present a fully automated Bayesian optimization (BO) protocol for the parameterization of nonbonded interactions in coarse‐grain CG force fields (BACH). Using experimental thermophysical data, we apply the protocol to a broad range of liquids, spanning linear, branched, and unsaturated hydrocarbons, esters, triglycerides, and water.
Janak Prabhu   +3 more
wiley   +1 more source

Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators

open access: yesAdvances in Mathematical Physics, 2014
A new algorithm called multistep reproducing kernel Hilbert space method is represented to solve nonlinear oscillator’s models. The proposed scheme is a modification of the reproducing kernel Hilbert space method, which will increase the intervals of ...
Banan Maayah   +3 more
doaj   +1 more source

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