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1.Nonstandard finite difference schemes for numerical solution of the fractional neutron point kinetics equations

作者：Yasser Mohamed Hamada ; M.G. Brikaa ; ^{gaber.brikaa@yahoo.com}

关键词：Non-standard finite difference method ; Stability ; Fractional point kinetics equations ; Relaxation time effect ; Grunwald-Letnikov derivatives

刊名：Annals of Nuclear Energy

出版年：2017

2.Analytical solution of the fractional point kinetics equations with multi-group of delayed neutrons during start-up of a nuclear reactor

作者：Abdallah A. Nahla ^{a.nahla@science.tanta.edu.eg" class="auth_mail" title="E-mail the corresponding author}

关键词：Fractional point kinetics equations ; Multi-group of delayed neutrons ; Reactor start-up ; Fractional calculus ; Laplace transform

刊名：Annals of Nuclear Energy

出版年：2017

3.Incorporating delayed neutrons into the point-model equations routinely used for neutron coincidence counting in nuclear safeguards

作者：S. Croft^a ; ^{crofts@ornl.gov" class="auth_mail" title="E-mail the corresponding author} ; A. Favalli^b ; ^{afavalli@lanl.gov" class="auth_mail" title="E-mail the corresponding author}

关键词：Delayed neutrons ; Neutron coincidence counting ; Point-model equations ; Neutron multiplicity counting

刊名：Annals of Nuclear Energy

出版年：2017

4.Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley-Torvik equation

作者：Muhammad Asif Zahoor Raja^a ; ^{muhammad.asif@ciit-attock.edu.pk" class="auth_mail" title="E-mail the corresponding author} ; ^{asif.phdee10@iiu.edu.pk" class="auth_mail" title="E-mail the corresponding author} ; ^{rasifzahoor@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Raza Samar^b ; ^{rsamar@jinnah.edu.pk" class="auth_mail" title="E-mail the corresponding author} ; Muhammad Anwar Manzar^c ; ^{anwaar.phdee08@iiu.edu.pk" class="auth_mail" title="E-mail the corresponding author} ; Syed Muslim Shah^b ; ^{smshah77@gmail.com" class="auth_mail" title="E-mail the corresponding author}

关键词：Bagley&ndash ; Torvik equation ; Fractional differential equations ; Interior point algorithm ; Neural networks ; Unsupervised modeling

刊名：Mathematics and Computers in Simulation

出版年：2017

5.Positive solutions for a discrete two point nonlinear boundary value problem with p-Laplacian

作者：Giuseppina D'Aguì ; ^a ; ^{gdagui@unime.it" class="auth_mail" title="E-mail the corresponding author} ; Jean Mawhin^b ; ^{jean.mawhin@uclouvain.be" class="auth_mail" title="E-mail the corresponding author} ; Angela Sciammetta^a ; ^{asciammetta@unime.it" class="auth_mail" title="E-mail the corresponding author}

关键词：Difference equations ; Discrete boundary value problems ; Positive solutions ; Two solutions ; p-Laplacian ; Critical point theory

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

6.Calculation of critical points from Helmholtz-energy-explicit mixture models

作者：Ian H. Bell^a ; ^{ian.h.bell@gmail.com} ; Andreas Jä ; ger^b

关键词：Critical points ; Phase equilibria ; Spinodal

刊名：Fluid Phase Equilibria

出版年：2017

7.All roots spectral methods: Constraints, floating point arithmetic and root exclusion

作者：John P. Boyd^a ; ^{jpboyd@umich.edu} ; Călin-Ioan Gheorghiu^b ; ^{ghcalin@ictp.acad.ro}

关键词：Chebyshev polynomials ; Nonlinear ordinary differential equations ; Two-point boundary value problem ; Lemniscate elliptic function ; Computer algebra

刊名：Applied Mathematics Letters

出版年：2017

8.On the simplification of the form of Lie transformation groups admitted by systems of evolution differential equations

作者：Stavros Kontogiorgis ^{kontogiorgis.stavros@ucy.ac.cy} ; Christodoulos Sophocleous ; ^{christod@ucy.ac.cy}

关键词：Nonlinear systems of evolution equations ; Quasi-linear systems of evolution equations ; Lie groups of transformations

刊名：Journal of Mathematical Analysis and Applications

出版年：2017

9.Three-dimensional dynamic ring load and point load Green's functions for continuously inhomogeneous viscoelastic transversely isotropic half-space

作者：Saeed Cheshmehkani ; Morteza Eskandari-Ghadi ; ^{ghadi@ut.ac.ir}

关键词：Green's function ; Ring load ; Point load ; Dynamic response ; Transversely isotropic ; Continuously inhomogeneous ; Viscoelastic

刊名：Engineering Analysis with Boundary Elements

出版年：2017

10.Solution of systems of integro-differential equations using numerical treatment of fixed point

作者：M.I. Berenguer ^{maribel@ugr.es} ; D. Gá ; mez ; ^{domingo@ugr.es} ; A.J. Ló ; pez Linares ^{alopezl@ugr.es}

关键词：45J05 ; 45L10 ; 65R05

刊名：Journal of Computational and Applied Mathematics

出版年：2017

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