Open Access
EDITORIAL
Şuayip Yüzbaşı1,*, Kamel Al-Khaled2, Nurcan Baykuş Savaşaneril3, Devendra Kumar4
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 913-915, 2020, DOI:10.32604/cmes.2020.011225
（This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)
Abstract This article has no abstract. More >
Open Access
ARTICLE
An Chen1, *
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 917-939, 2020, DOI:10.32604/cmes.2020.09224
（This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)
Abstract In this paper, two classes of Riesz space fractional partial differential equations
including space-fractional and space-time-fractional ones are considered. These two
models can be regarded as the generalization of the classical wave equation in two
space dimensions. Combining with the Crank-Nicolson method in temporal direction,
efficient alternating direction implicit Galerkin finite element methods for solving these two
fractional models are developed, respectively. The corresponding stability and convergence
analysis of the numerical methods are discussed. Numerical results are provided to verify
the theoretical analysis. More >
Open Access
ARTICLE
Şuayip Yüzbaşı1, *, Murat Karaçayır1
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 941-956, 2020, DOI:10.32604/cmes.2020.08938
（This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)
Abstract In this study, we present a numerical scheme similar to the Galerkin method in
order to obtain numerical solutions of the Bagley Torvik equation of fractional order 3/2. In
this approach, the approximate solution is assumed to have the form of a polynomial in the
variable t = xα
, where α is a positive real parameter of our choice. The problem is firstly
expressed in vectoral form via substituting the matrix counterparts of the terms present
in the equation. After taking inner product of this vector with nonnegative integer powers
of t up to a selected positive parameter N,… More >
Open Access
ARTICLE
Marjan Uddin1, *, Najeeb Ullah2, Syed Inayat Ali Shah2
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 957-972, 2020, DOI:10.32604/cmes.2020.08911
（This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)
Abstract In this work, a numerical scheme is constructed for solving nonlinear parabolictype partial-integro differential equations. The proposed numerical scheme is based on
radial basis functions which are local in nature like finite difference numerical schemes.
The radial basis functions are used to approximate the derivatives involved and the integral
is approximated by equal width integration rule. The resultant differentiation matrices are
sparse in nature. After spatial approximation using RBF the partial integro-differential
equations reduce to the system of ODEs. Then ODEs system can be solved by various
types of ODE solvers. The proposed numerical scheme is tested and compared with… More >
Open Access
ARTICLE
Gökçe Yıldız1, Gültekin Tınaztepe2, *, Mehmet Sezer1
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 973-993, 2020, DOI:10.32604/cmes.2020.09329
（This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)
Abstract In this article, we approximate the solution of high order linear Fredholm
integro-differential equations with a variable coefficient under the initial-boundary
conditions by Bell polynomials. Using collocation points and treating the solution as a
linear combination of Bell polynomials, the problem is reduced to linear system of
equations whose unknown variables are Bell coefficients. The solution to this algebraic
system determines the approximate solution. Error estimation of approximate solution is
done. Some examples are provided to illustrate the performance of the method. The numerical
results are compared with the collocation method based on Legendre polynomials and the
other two methods… More >
Open Access
ARTICLE
Tao Li1, Qingsheng Yang1, *, Lianhua Ma2, Xiaojun Zhang2, *
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 995-1014, 2020, DOI:10.32604/cmes.2020.09152
Abstract Phase transition of hydrogel, which is polymerized by polymer network, can be
regarded as the transition of polymer network stability. The stability of the polymer
network might be changed when the external environment changed. This change will lead
to the transformation of sensitive hydrogels stability, thus phase transition of hydrogel
take place. Here, we present a new free density energy function, which considers
the non-gaussianity of the polymer network, chains entanglement and functionality of
junctions through adding Gent hyplastic model and Edwards-Vilgis slip-link model to
Flory-Huggins theory. A program to calculate the phase transition temperature was written
based on new… More >
Open Access
ARTICLE
Yang Yang1,*, Jing Dong1, Chao Fang2, Ping Xie3, Na An3
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 1015-1031, 2020, DOI:10.32604/cmes.2020.09404
Abstract The development of cloud computing and virtualization technology has
brought great challenges to the reliability of data center services. Data centers
typically contain a large number of compute and storage nodes which may fail
and affect the quality of service. Failure prediction is an important means of
ensuring service availability. Predicting node failure in cloud-based data centers
is challenging because the failure symptoms reflected have complex characteristics, and the distribution imbalance between the failure sample and the normal
sample is widespread, resulting in inaccurate failure prediction. Targeting these
challenges, this paper proposes a novel failure prediction method FP-STE (Failure
Prediction… More >
Open Access
ARTICLE
Gang Zhao1,2, Jiaming Yang1, Wei Wang1,*, Yang Zhang1, Xiaoxiao Du1, Mayi Guo1
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 1033-1059, 2020, DOI:10.32604/cmes.2020.09920
（This article belongs to this Special Issue: Recent Developments of Isogeometric Analysis and its Applications in Structural Optimization)
Abstract In this paper, a new isogeometric topology optimization (ITO) method
is proposed by using T-splines based isogeometric analysis (IGA). The arbitrarily
shaped design domains, directly obtained from CAD, are represented by a single
T-spline surface which overcomes the topological limitations of Non-Uniform
Rational B-Spline (NURBS). The coefficients correlated with control points are
directly used as design variables. Therefore, the T-spline basis functions applied
for geometry description and calculation of structural response are simultaneously
introduced to represent the density distribution. Several numerical examples show
that the proposed approach leads to a coherent workflow to handle design problems of complicated structures. The… More >
Open Access
ARTICLE
Di Wang1, Guangzhao Ye1, Jingming Mai2, Xiaomin Chen1, Yongqiang Yang1,*, Yang Li1,*, Xiaojun Chen1, Jie Chen1
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 1061-1077, 2020, DOI:10.32604/cmes.2020.09842
（This article belongs to this Special Issue: Design & simulation in Additive Manufacturing)
Abstract In this paper, a novel micromixer with complex 3D-shape inner units
was put forward and fabricated by metal Additive Manufacturing (AM). The
design of the micromixer combined the constraints of selective laser melting technology and the factors to improve mixing efficiency. Villermaux-Dushman reaction system and Compute Fluid Design (CFD) simulation were conducted to
investigate the performance and the mechanism of this novel micromixer to
improve mixing efficiency. The research found that the best mixing efficiency
of this novel micromixer could be gained when the inner units divided fluid into
five pieces with a uniform volume. Compared with a conventional micromixer… More >
Open Access
ARTICLE
Shixue Liang1, Zhongshu Xie1, Tiancan Huang2, *
CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.3, pp. 1079-1103, 2020, DOI:10.32604/cmes.2020.09200
（This article belongs to this Special Issue: Numerical Modeling and Simulation for Structural Safety and Disaster Mitigation)
Abstract Concrete is intrinsically endowed with randomness on meso-scale due to the
random distribution of aggregates, mortar, etc. In this paper, two random medium models
of concrete mesostructure are developed and comparative studies are provided based on
random field representation approach. In the first place, concrete is considered as a kind
of one-phase random field, where stochastic harmonic function is adopted as the approach
to simulate the random field. Secondly, in order to represent the stochastic distribution of
the multi-phase of concrete such as aggregates and mortar, two-phase random field based
on the Nataf transformation and the Hermite polynomials are introduced.… More >
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