2021
1
2
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77
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NewtonKrylov generalized minimal residual algorithm in solving nonlinear VolterraFredholmHammerstein integral equations
http://mcs.qut.ac.ir/article_241644.html
10.30511/mcs.2021.141498.1012
1
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear VolterraFredholmHammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear integral equation to finding the solution of nonlinear algebraic equations, in order to solve these nonlinear algebraic equations we use Newton method composed by generalized minimal residual (NGMRes) method, the iteration number and running time for implementation of NGMRes method are important parameters that have been considered to solve this type of integral equations. These methods are applied on several various nonlinear VFH integral equations that confirm accuracy and efficiency of the methods.
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1
16


Ahmad
Zavvartorbati
Malek Ashtar University of Technology, Tehran, Iran.
Iran
zavvarahmad@gmail.com
VolterraFredholmHammerstein integral equations
Collocation method
Galerkin method
Spectral methods
NewtonKrylove GMRes
1

Seismic bearing capacity of strip footings adjacent to slopes using pseudo dynamic approach
http://mcs.qut.ac.ir/article_241645.html
10.30511/mcs.2021.137964.1009
1
Determining of the seismic bearing capacity has a great importance for foundations located near sloping ground in geotechnical earthquake engineering. In this paper a new formulation based on the pseudodynamic method is presented to calculate the seismic bearing capacity of strip foundations resting on Cφ soil which are adjacent to slope using limit equilibrium method. The seismic bearing capacity coefficient Nγe for the simultaneous resistance of surcharge, unit weight and cohesion is calculated considering twosided composite rupture surface which is the combination of a logarithmic spiral and planar surfaces. This failure mechanism comprises of two slip surfaces which are assumed that a realistic failure surface occurs on the side of slope and the resistance mobilization is taken into account on the side without slope. Using the presented approach a parametric study is conducted to study the effect of various parameters such as soil cohesion, soil friction angle, slope angle, horizontal, and vertical seismic coefficients. Results show the bearing capacity coefficient increases by approximately 176 and 264% when β increases from 10 to 20° and from 20 to 30°, respectively. The results of this study are compared with the few pseudostatic results available in the literature. Present procedure give lower amount of bearing capacity of strip footings in comparison with the results of pseudostatic analysis.
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17
41


Morteza
Jiryaei Sharahi
Department of Civil Engineering, Qom University of Technology
Iran
jiryaei@qut.ac.ir


Ali
Ramazan Boroujerdi
Department of Civil Engineering, Qom University of Technology
Iran
jiryaei@yahoo.com
Seismic Bearing capacity
slopes
Pseudodynamic
limit equilibrium
1

Solvabiltiy for a system of boundary value problems by fixed point theory
http://mcs.qut.ac.ir/article_241646.html
10.30511/mcs.2021.141538.1013
1
In this paper we study the existence of positive solutions for a class of boundary problems.
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42
47


Robabeh
Sahandi
Department of Mathematics. Islamic Azad University. Tehran. Iran
Iran
sahandi_1352@yahoo.com


Behnaz
Farnam
Department of Mathematics, Qom University of Technology
Iran
behnaz_farnam@yahoo.com
Boundary value problem
positive solution
Fixed point index
Jensen's inequality
1

Computational modelling of energy pile systems
http://mcs.qut.ac.ir/article_241647.html
10.30511/mcs.2021.138261.1010
1
Geothermal energy is one of the most environmentalfriendly and cost effective energy sources with potential to replace fossil fuels and help mitigate global warming. Recent technological progress, energy price variability, difficulty of oil and gas supply from foreign countries and the need to reduce fossil fuel deployment have made the exploitation of geothermal energy, especially for heating and cooling purposes, an attractive and viable energy alternative. Energy pile provides a mean to reduce energy consumption for space heating and cooling, while functioning as a support for superstructure. Despite of the environmental benefits of energy pile, some countries are still reluctant in implementing energy pile. This is because of knowledge gap on the influence of temperature cycles on energy pile ultimate and serviceability limit states. This paper reviews the geo exchanger and energy pile systems and highlights their applicability and efficiency as well as advantages and limits. To investigate the effects of soils on energy pile, in present study a two dimensional (2D), axisymmetric numerical model for the energy piles has been created using finite element method based on the field test. The main purpose of this study is investigating energy pile response in various soils. This was performed by considering some different hypothetical layers with underlain bedrock and their results which included displacement, strain and stresses induced by thermal load compared with four layered soil experimental data. The results showed that soil properties have important effect on the response of energy pile. Also temperature affects pile reactions.
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48
60


Fatemeh
Sheshpari
Department of Civil Engineering, Faculty of Engineering, Qom University of Technology
Iran
f_sheshpari@yahoo.com


Masoud
Amelsakhi
Department of Civil Engineering, Faculty of Engineering, Qom University of Technology
Iran
mamelsakhi@yahoo.com
Geothermal Energy
heat exchanger
fossil fuels
Finite element
COMSOL
1

Analytical BoundState solution of the Schrodinger equation for the morse potential within the NikiforovUvarov method
http://mcs.qut.ac.ir/article_241717.html
10.30511/mcs.2021.522714.1016
1
AbstractThe Morse potential has important and significance rule to describe the diatomic molecule energy and structure. However there is no any analytical solution for Schrodinger equation with this potential without approximation, therefore other ways such as numerical, perturbation, variation and so on are taken to deal with this potential. In this work the the NikiforovUvarov method is taken to obtain its energy eigenvalues and eigenfunctions. In the ground state the Schrodinger equation with this potential have exact solution but with arbitrary lstate the Morse potential with centrifugal term have no exact solution therefore it is solved analytically with use the Pekeris approximation. Here in this work we solved the Schrodinger in the space of D dimension and use the NikiforoveUvarov method which is based on solving the hyper geometric type secondorder differential equations by means of the special orthogonal functions.
0

61
70


Enayatolah
Yazdankish
Applied Chemistry Department, Faculty of Gas and Petroleum, Yasouj UNIVERSITY
Iran
enayat.yazdankish@gmail.com
solving of Schrodinger equation
Morse potential
NikiforovUvarov method
1

Bilinear cryptography using Lie algebras from pgroups
http://mcs.qut.ac.ir/article_242145.html
10.30511/mcs.2021.522222.1015
1
Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013. Also Mahalanobis et al. proposed bilinear cryptographyusing groups of nilpotency class two in 2017. In this paper, I develop a novel idea of a bilinear cryptosystemusing Lie algebras from pgroups. First the researcher proposes pairing on Lie algebras from elliptic curves,and then pairings that can be constructed on Lie algebras from some of the nonabelian pgroups.
0

71
77


Elaheh
Khamseh
Department of Mathematics, Islamic Azad university, ShahreQods Branch, Tehran, Iran.
Iran
elahehkhamseh@gmail.com
Lie algebra
Bilinear map
pgroup