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Dan Wu, Yuezan Tao, Jie Yang and Bo Kang
For a semi-infinite aquifer controlled by a river channel boundary, when the Laplace transform is used to solve a one-dimensional unsteady seepage model of phreatic water while considering the influence of the vertical water exchange intensity e with the...
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Mingchen Zhong and Kun Meng
A mathematical model for an outer soil, multi-defects pipe pile, and inner soil dynamic interaction system is established to research the influences of multi-defects on the vibration of a pipe pile. The dynamic impedance of the pipe pile is deduced by ap...
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Indranil Ghosh, Muhammad Mahbubur Rashid, Shukranul Mawa, Rupal Roy, Md Manjurul Ahsan, Muhammad Ramiz Uddin, Kishor Datta Gupta and Pallabi Ghosh
The human immunodeficiency virus (HIV) mainly attacks CD4+ T cells in the host. Chronic HIV infection gradually depletes the CD4+ T cell pool, compromising the host?s immunological reaction to invasive infections and ultimately leading to acquired immuno...
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Efthimios Providas
In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra?Fredholm equations of the second kind. The method is based on the existence of the inverse of the relevan...
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Václav Ficaj, Pavel Pech and Daniel Kahuda
As the climate is changing, greater exploitation of groundwater reserves is becoming evident; however, this would have been apparent even without climate change. Therefore, increasing emphasis is given to maintaining well functionality. Wells are suscept...
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Izaz Ali, Hassan Khan, Rasool Shah, Dumitru Baleanu, Poom Kumam and Muhammad Arif
In the present research work, a newly developed technique which is known as variational homotopy perturbation transform method is implemented to solve fractional-order acoustic wave equations. The basic idea behind the present research work is to extend ...
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Amer Darweesh, Marwan Alquran and Khawla Aghzawi
In this paper, we present a robust algorithm to solve numerically a family of two-dimensional fractional integro differential equations. The Haar wavelet method is upgraded to include in its construction the Laplace transform step. This modification has ...
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Fouad Mohammad Salama,Norhashidah Hj. Mohd Ali
It is time and memory consuming when numerically solving time fractional differential equations as it requires O(N^2) computational cost and O(NM) memory complexity. N and M are the total number of time levels and space grid points, respectively. In this...
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Mykhaylo Postan,Iryna Savelieva,Vi?toria Stadnik
Pág. 49 - 56
A method for determining the time distribution function of ship berthing under loading under the direct option of loading operations (i. e., without the warehouse) in conditions of irregular cargo delivery by rail is developed. In order to take into...
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Maria V. Korovina
Pág. 14 - 22
In this work, we derive asymptotics of solutions of ordinary differential equations with holomorphic coefficients in the neighborhood of infinity. This problem represents a particular case of the general problem of constructing asymptotics of linear diff...
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