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Nikolaos Bakas
Function approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates...
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Noori Y. Abdul-Hassan, Zainab J. Kadum and Ali Hasan Ali
In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge?Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accu...
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Zhenjiang Wu, Chuiyu Lu, Qingyan Sun, Wen Lu, Xin He, Tao Qin, Lingjia Yan and Chu Wu
In recent years, the groundwater level (GWL) and its dynamic changes in the Hebei Plain have gained increasing interest. The GWL serves as a crucial indicator of the health of groundwater resources, and accurately predicting the GWL is vital to prevent i...
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Po-Wei Li, Shenghan Hu and Mengyao Zhang
This study applies the space?time generalized finite difference scheme to solve nonlinear dispersive shallow water waves described by the modified Camassa?Holm equation, the modified Degasperis?Procesi equation, the Fornberg?Whitham equation, and its mod...
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Yuri Kuzmin and Stanislav Proshkin
Based on a rigorous solution to the problem, analytical expressions are obtained for calculating the diffraction of the electromagnetic field of a grounded cable on an elongated dielectric spheroid in a conductive layer. The field of a grounded AC cable ...
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Javier Ibáñez, José M. Alonso, Pedro Alonso-Jordá, Emilio Defez and Jorge Sastre
The action of the matrix exponential on a vector ????????
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, appears in problems that arise in mathematics, physics, and engineering, such as the solution of systems of linear ordinary differential equation...
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Simón Sepúlveda-García, Oscar Danilo Montoya and Alejandro Garcés
This paper addresses the problem of the power flow analysis of bipolar direct current (DC) networks considering unbalanced loads and the effect of a neutral wire, which may be solidly grounded or non-grounded. The power flow problem is formulated using t...
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Yang Li, Wanchun Chen and Liang Yang
In this paper, a linear Chebyshev pseudospectral method (LCPM) is proposed to solve the nonlinear optimal control problems (OCPs) with hard terminal constraints and unspecified final time, which uses Chebyshev collocation scheme and quasi-linearization. ...
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Saleh A. Bawazeer, Saleh S. Baakeem and Abdulmajeed A. Mohamad
Radial basis function (RBF) is gaining popularity in function interpolation as well as in solving partial differential equations thanks to its accuracy and simplicity. Besides, RBF methods have almost a spectral accuracy. Furthermore, the implementation ...
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Jaehak Lee, Bo Woo Nam, Jae-Hoon Lee and Yonghwan Kim
In this study, a modified two-time-scale model is proposed to overcome the limitations of the existing maneuvering analysis model. To this end, not only wave conditions but also all directions of ship operation velocities are considered in estimating wav...
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