Search Results - Iterative reproducing kernel algorithm

NUMERICAL SOLUTIONS OF RIESZ FRACTIONAL DIFFUSION AND ADVECTION-DISPERSION EQUATIONS IN POROUS MEDIA USING ITERATIVE REPRODUCING KERNEL ALGORITHM

Authors: Omar Abu Arqub Mohammed Al-Smadi

Source: Journal of Porous Media. 23:783-804

Subject Terms: 0103 physical sciences, 0101 mathematics, 01 natural sciences

Access URL: http://www.dl.begellhouse.com/journals/49dcde6d4c0809db
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Retraction Note: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates

Authors: Omar Abu Arqub Banan Maayah

Source: Neural Computing and Applications. 36:15937-15937

Numerical Solutions of Fractional Systems of Two-Point BVPs by Using the Iterative Reproducing Kernel Algorithm

Authors: Zuhier Altawallbeh Iryna Komashynska Mohammed Al-Smadi et al.

Source: Ukrainian Mathematical Journal. 70:687-701

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://link.springer.com/article/10.1007/s11253-018-1526-8

RETRACTED ARTICLE: Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates

Authors: Omar Abu Arqub Banan Maayah

Source: Neural Computing and Applications. 29:1465-1479

Subject Terms: 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences

Access URL: https://link.springer.com/article/10.1007/s00521-016-2484-4
https://dblp.uni-trier.de/db/journals/nca/nca29.html#ArqubM18
https://link.springer.com/article/10.1007/s00521-016-2484-4/fulltext.html

A Multi-Modal Distributed Learning Algorithm in Reproducing Kernel Hilbert Spaces

Authors: Raghavan, Aneesh Johansson, Karl H.

Index Terms: Distributed Regression, RKHS, Transfer Operators, Control Engineering, Reglerteknik, Signal Processing, Signalbehandling, Conference paper, info:eu-repo/semantics/conferenceObject, text

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-367196
Proceedings of the 6th Annual Learning for Dynamics and Control Conference, L4DC 2024, p. 1241-1252

Numerical algorithm to solve a coupled system of fractional order using a novel reproducing kernel method

Authors: Rania Saadeh

Source: Alexandria Engineering Journal, Vol 60, Iss 5, Pp 4583-4591 (2021)

Subject Terms: Caputo fractional derivative, Coupled system, Numerical algorithm, TA1-2040, 0101 mathematics, Engineering (General). Civil engineering (General), 01 natural sciences, Reproducing kernel function, Non-classical boundary condition

Access URL: https://doaj.org/article/0df9e83ee20a47cfacb820615cea944a
https://www.sciencedirect.com/science/article/pii/S1110016821001885
https://www.sciencedirect.com/science/article/abs/pii/S1110016821001885
https://doaj.org/article/0df9e83ee20a47cfacb820615cea944a

Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method

Authors: Mohammed Al-Smadi Shaher Momani Shrideh Al-Omari et al.

Source: Applied Numerical Mathematics. 170:418-434

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://www.sciencedirect.com/science/article/pii/S0168927421002336

An Iterative Coupling Algorithm for Hydro-mechanical Systems Using Reproducing Kernel Particle Method

Authors: Xie, Yongning CIVL Wang, Gang

Index Terms: Conference paper

URL: http://repository.ust.hk/ir/Record/1783.1-66694
http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=&rft.volume=&rft.issue=&rft.date=2013&rft.spage=&rft.aulast=Xie&rft.aufirst=&rft.atitle=An%20Iterative%20Coupling%20Algorithm%20for%20Hydro-mechanical%20Systems%20Using%20Reproducing%20Kernel%20Particle%20Method&rft.title=International%20Conference%20on%20Computational%20Mechanics%20(CM13)%2C%20Durham%2C%20UK%2C%2025-27%20March%202013

An Iterative Coupling Algorithm for Hydro-mechanical Systems Using Reproducing Kernel Particle Method

Authors: Xie, Yongning Wang, Gang

Index Terms: Conference paper

URL: http://repository.hkust.edu.hk/ir/Record/1783.1-66694
http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=&rft.volume=&rft.issue=&rft.date=2013&rft.spage=&rft.aulast=Xie&rft.aufirst=&rft.atitle=An%20Iterative%20Coupling%20Algorithm%20for%20Hydro-mechanical%20Systems%20Using%20Reproducing%20Kernel%20Particle%20Method&rft.title=International%20Conference%20on%20Computational%20Mechanics%20(CM13)%2C%20Durham%2C%20UK%2C%2025-27%20March%202013

Solutions of Bagley-Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates.

Authors: Abu Arqub, Omar Maayah, Banan

Source: Neural Computing & Applications; Mar2018, Vol. 29 Issue 5, p1465-1479, 15p

Subject Terms: FRACTIONAL calculus, KERNEL functions, ERROR analysis in mathematics, ITERATIVE methods (Mathematics), ESTIMATION theory

Numerical algorithm to solve a coupled system of fractional order using a novel reproducing kernel method.

Authors: Saadeh, Rania¹ (AUTHOR) rsaadeh@zu.edu.jo

Source: Alexandria Engineering Journal. Oct2021, Vol. 60 Issue 5, p4583-4591. 9p.

Subject Terms: Caputo fractional derivatives, Boundary value problems, Gram-Schmidt process, Algorithms, Sobolev spaces, Fractional differential equations, Kernel functions

Numerical Solutions of Fractional Systems of Two-Point BVPs by Using the Iterative Reproducing Kernel Algorithm.

Authors: Altawallbeh, Z. Al-Smadi, M. Komashynska, I. et al.

Source: Ukrainian Mathematical Journal; Oct2018, Vol. 70 Issue 5, p687-701, 15p, 3 Charts, 1 Graph

Subject Terms: FRACTIONAL calculus, ITERATIVE methods (Mathematics), KERNEL functions, APPROXIMATION theory, NUMERICAL solutions to boundary value problems

Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space

Authors: Shaher Momani Mohammed Al-Smadi Shatha Hasan et al.

Source: Alexandria Engineering Journal, Vol 61, Iss 3, Pp 1778-1786 (2022)

Subject Terms: Iterative reproducing kernel algorithm, Fractional integro-differntial equations, Caputo-Fabrizio operator, Numerical solution, 0103 physical sciences, Stability analysis, TA1-2040, 0101 mathematics, Engineering (General). Civil engineering (General), 01 natural sciences

Access URL: https://doaj.org/article/21e642080b7b436ba04c0472ff648b47
https://www.sciencedirect.com/science/article/pii/S1110016821004488

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

Authors: Mohammed Al-Smadi

Source: Ain Shams Engineering Journal, Vol 9, Iss 4, Pp 2517-2525 (2018)

Subject Terms: TA1-2040, 0101 mathematics, Engineering (General). Civil engineering (General), 01 natural sciences

Access URL: https://doaj.org/article/9f6e7b54c158491eb6d8f84d2b32586b
https://www.sciencedirect.com/science/article/pii/S2090447917300850
https://www.sciencedirect.com/science/article/abs/pii/S2090447917300850

An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

Authors: Serkan Araci Nadir Djeddi Mohammed Al-Smadi et al.

Contributors: Serkan Araci Nadir Djeddi Mohammed Al-Smadi et al.

Source: Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)

Subject Terms: Economics, Numerical solution, Mathematical analysis, Quantum mechanics, 01 natural sciences, Orthogonal Polynomials, Convergence Analysis of Iterative Methods for Nonlinear Equations, QA1-939, FOS: Mathematics, 0101 mathematics, Approximation, Reproducing kernel algorithm, Anomalous Diffusion Modeling and Analysis, Economic growth, Caputo-Fabrizio fractional derivative, Numerical Analysis, Applied Mathematics, Physics, Hilbert space, Fractional calculus, Caputo–Fabrizio fractional derivative, Partial differential equation, Discrete mathematics, Applied mathematics, Algorithm, Fractional Derivatives, Error analysis, Abel-type differential equation, Modeling and Simulation, Physical Sciences, Convergence (economics), Kernel (algebra), Nonlinear system, Fractional Calculus, Mathematics

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Access URL: https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-021-03428-3
https://doaj.org/article/469b0687337c4a2ab9fd3b9a60eff935
https://link.springer.com/article/10.1186/s13662-021-03428-3/tables/1
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https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-021-03428-3
https://link.springer.com/article/10.1186/s13662-021-03428-3

Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type

Authors: Iryna Komashynska Mohammed Al‐Smadi

Source: Journal of Applied Mathematics, Vol 2014 (2014)
J. Appl. Math.

Subject Terms: Artificial intelligence, Fredholm theory, Class (philosophy), Convergent series, Geometry, Epistemology, Mathematical analysis, Quantum mechanics, 01 natural sciences, Engineering, Numerical Methods for Singularly Perturbed Problems, Numerical Methods, QA1-939, FOS: Mathematics, Series (stratigraphy), 0101 mathematics, Boundary value problem, Biology, Anomalous Diffusion Modeling and Analysis, Integral equation, Numerical Analysis, Ecology, Fredholm integral equation, Physics, Mathematical optimization, Pure mathematics, Paleontology, Power series, Applied mathematics, Computer science, Iterative method, FOS: Philosophy, ethics and religion, 3. Good health, Fracture Mechanics Modeling and Simulation, Philosophy, Mechanics of Materials, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Kernel (algebra), Nonlinear system, Simple (philosophy), Monotone polygon, Type (biology), Mathematics

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Access URL: http://downloads.hindawi.com/journals/jam/2014/459509.pdf
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https://projecteuclid.org/journals/journal-of-applied-mathematics/volume-2014/issue-none/Iterative-Reproducing-Kernel-Method-for-Solving-Second-Order-Integrodifferential-Equations/10.1155/2014/459509.full
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https://www.hindawi.com/journals/jam/2014/459509/
https://projecteuclid.org/euclid.jam/1425305711

Mirror Descent on Reproducing Kernel Banach Spaces

Authors: Kumar, Akash Belkin, Mikhail Pandit, Parthe

Index Terms: Computer Science - Machine Learning, Mathematics - Optimization and Control, Statistics - Machine Learning, text

URL: http://arxiv.org/abs/2411.11242

Distributed Learning and Function Fusion in Reproducing Kernel Hilbert Space

Authors: Raghavan, Aneesh Johansson, Karl Henrik

Index Terms: Electrical Engineering and Systems Science - Systems and Control, 62J07 68T05 46N30, text

URL: http://arxiv.org/abs/2401.03012

An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems

Authors: Babak Azarnavid Kourosh Parand

Source: Journal of Computational and Applied Mathematics. 328:151-163

Subject Terms: 2. Zero hunger, 0101 mathematics, 01 natural sciences

Access URL: https://www.sciencedirect.com/science/article/am/pii/S0377042717303564
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http://www.sciencedirect.com/science/article/pii/S0377042717303564
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Iterative reproducing kernel Hilbert spaces method for Riccati differential equations

Authors: Sakar, Mehmet Giyas

Source: Journal of Computational and Applied Mathematics. 309:163-174

Subject Terms: 0101 mathematics, 01 natural sciences

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https://doi.org/10.1016/j.cam.2016.06.029
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