Results 101 to 110 of about 489,759 (365)
Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations
Abstract and Applied Analysis, 2012 On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented.
Reza Mokhtari +2 more
doaj +1 more source
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعيةIn this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and ...
Hiba Aslan, Hamed Abbas
doaj +1 more source
Iterative reproducing kernel method for nonlinear oscillator with discontinuity
Applied Mathematics Letters, 2010 AbstractIn this paper, iterative reproducing kernel method is applied to obtain the analytical approximate solution of a nonlinear oscillator with discontinuities. The solution obtained by using the method takes the form of a convergent series with easily computable components.
Boying Wu, Xiuying Li
openaire +2 more sources
Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
Virus Enhanced Microrobots for Biofilm Eradication
Advanced Materials, EarlyView.Biofilms resist antimicrobials across medicine, industry, and environments. We present virus‐conjugated microrobots synthesized hydrothermally and magnetically actuated. Their motion and viral specificity enable targeted binding, penetration, and delivery, outperforming bare microrobots.
Jyoti +3 more
wiley +1 more source
An Exact Solution of the Binary Singular Problem
Journal of Function Spaces, 2014 Singularity problem exists in various branches of applied mathematics. Such ordinary differential equations accompany singular coefficients. In this paper, by using the properties of reproducing kernel, the exact solution expressions of dual singular ...
Baiqing Sun +3 more
doaj +1 more source
Probiotic‐Based Materials as Living Therapeutics
Advanced Materials, EarlyView.Recent advances in Engineered Living Materials are highlighted, integrating synthetic biology and advanced materials, with a focus on probiotic‐based therapeutics. Probiotic Living Materials hold great potential for biosensing, infection treatment, osteogenesis, wound healing, vaginal and gastrointestinal disorders, and cancer therapy. breakthroughs in
Laura Sabio +2 more
wiley +1 more source
Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method
Journal of Function Spaces and Applications, 2012 We propose a reproducing kernel method for solving the telegraph equation with initial conditions based on the reproducing kernel theory. The exact solution is represented in the form of series, and some numerical examples have been studied in order to ...
Mustafa Inc, Ali Akgül, Adem Kiliçman
doaj +1 more source
Representing functional data in reproducing Kernel Hilbert Spaces with applications to clustering and classification [PDF]
Functional data are difficult to manage for many traditional statistical techniques given their very high (or intrinsically infinite) dimensionality. The reason is that functional data are essentially functions and most algorithms are designed to work ...
Alberto Muñoz, Javier González
core
Reproducing kernel method with Taylor expansion for linear Volterra integro-differential equations
, 2017 This research aims of the present a new and single algorithm for linear integro-differential equations (LIDE). To apply the reproducing Hilbert kernel method, there is made an equivalent transformation by using Taylor series for solving LIDEs.
A. Alvandi, M. Paripour
semanticscholar +1 more source