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Husniddin Khayrullaev, Issa Omle and Endre Kovács
We systematically investigate the performance of numerical methods to solve Fisher?s equation, which contains a linear diffusion term and a nonlinear logistic term. The usual explicit finite difference algorithms are only conditionally stable for this eq...
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Manigandan Paneer, Josip Ba?ic, Damir Sedlar, ?eljan Lozina, Nastia Degiuli and Chong Peng
This study investigates the impact of fluid loads on the elastic deformation and dynamic response of linear structures. A weakly coupled modal solver is presented, which involves the solution of a dynamic equation of motion with external loads. The mode ...
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Mahmoud Saleh, Endre Kovács and Imre Ferenc Barna
The time-dependent diffusion equation is studied, where the diffusion coefficient itself depends simultaneously on space and time. First, a family of novel, nontrivial analytical solutions is constructed in one space dimension with the classical self-sim...
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Ádám Nagy, János Majár and Endre Kovács
We collected 20 explicit and stable numerical algorithms for the one-dimensional transient diffusion equation and analytically examined their consistency and convergence properties. Most of the methods used have been constructed recently and their trunca...
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Ali Habeeb Askar, Issa Omle, Endre Kovács and János Majár
Based on many previous experiments, the most efficient explicit and stable numerical method to solve heat conduction problems is the leapfrog-hopscotch scheme. In our last paper, we made a successful attempt to solve the nonlinear heat conduction?convect...
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Humam Kareem Jalghaf, Issa Omle and Endre Kovács
Calculating heat transfer in building components is an important and nontrivial task. Thus, in this work, we extensively examined 13 numerical methods to solve the linear heat conduction equation in building walls. Eight of the used methods are recently ...
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Suleiman Ali Alsaif, Minyar Sassi Hidri, Imen Ferjani, Hassan Ahmed Eleraky and Adel Hidri
For more than ten years, online job boards have provided their services to both job seekers and employers who want to hire potential candidates. The provided services are generally based on traditional information retrieval techniques, which may not be a...
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Chang-Yong Song
Recently, there have been frequent reports of subsea cable breakage accidents caused by the drop of an anchor pile for aquaculture works involving subsea cables for high-voltage direct current (HVDC) transmission embedded in the southwest sea of Korea. T...
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Guo Li, Junbo Liu, Huimin Zhou, Liangliang Zuo and Shuiting Ding
Numerical integration methods have the characteristics of high efficiency and precision, making them attractive for aero-engine probabilistic risk assessment and design optimization of an inspection plan. One factor that makes the numerical integration m...
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Veerarajan Selvakumar and Shuenn-Yih Chang
Although many families of integration methods have been successfully developed with desired numerical properties, such as second order accuracy, unconditional stability and numerical dissipation, they are generally implicit methods. Thus, an iterative pr...
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