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Fiza Zafar, Alicia Cordero, Husna Maryam and Juan R. Torregrosa
Power flow problems can be solved in a variety of ways by using the Newton?Raphson approach. The nonlinear power flow equations depend upon voltages Vi" role="presentation">|????|Vi
V
i
and phase angle δ" role="presentation">??d
d
. An electri...
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Alicia Cordero, Javier G. Maimó, Antmel Rodríguez-Cabral and Juan R. Torregrosa
In this manuscript, we carry out a study on the generalization of a known family of multipoint scalar iterative processes for approximating the solutions of nonlinear systems. The convergence analysis of the proposed class under various smooth conditions...
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Vinay Kanwar, Alicia Cordero, Juan R. Torregrosa, Mithil Rajput and Ramandeep Behl
In this paper, we present a new third-order family of iterative methods in order to compute the multiple roots of nonlinear equations when the multiplicity (m≥1)" role="presentation">(??=1)(m=1)
(
m
=
1
)
is known in advance. There is a pleth...
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Samundra Regmi, Ioannis K. Argyros and Santhosh George
A local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence. Moreover, no error esti...
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Chengzhi Liu, Xuli Han and Juncheng Li
In this paper, we exploit an numerical method for solving second order differential equations with boundary conditions. Based on the theory of the analytic solution, a series of spline functions are presented to find approximate solutions, and one of the...
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Janak Raj Sharma, Sunil Kumar and Ioannis K. Argyros
We discuss the local convergence of a derivative-free eighth order method in a Banach space setting. The present study provides the radius of convergence and bounds on errors under the hypothesis based on the first Fréchet-derivative only. The approaches...
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Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi and Halyna Yarmola
A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods...
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Mikail Et, Yavuz Altin, Rifat Çolak
Pág. 55 - 61
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Han-Ching Huang,Yong-Chern Su,Chun-Chi Shih
Pág. 591 - 601
This study investigates the convergence process toward efficiency of daily top losers. We find that significance of order imbalance coefficients decreases with increasing time interval, indicating evidences on convergence to market efficiency. A time-var...
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S. Indrapriyadarsini, Shahrzad Mahboubi, Hiroshi Ninomiya, Takeshi Kamio and Hideki Asai
Gradient-based methods are popularly used in training neural networks and can be broadly categorized into first and second order methods. Second order methods have shown to have better convergence compared to first order methods, especially in solving hi...
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Chong Sun and Qin Sheng
This paper studies an effective finite difference scheme for solving two-dimensional Heston stochastic volatility option-pricing model problems. A dynamically balanced up-downwind strategy for approximating the cross-derivative is implemented and analyze...
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Martin Geier and Hussein Alihussein
We propose and validate a method to find an implicit representation of a surface placed at a distance h from another implicit surface. With two such surfaces on either side of the original surface, a volumetric shell of predefined thickness can be obtain...
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Hao Zou, Jing-Sen Cai, E-Chuan Yan, Rui-Xuan Tang, Lin Jia and Kun Song
Due to the spatial variability of hydraulic properties, probabilistic slope seepage analysis becomes necessary. This study conducts a probabilistic analysis of slope seepage under rainfall, considering the spatial variability of saturated hydraulic condu...
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Lang Ruan, Jin Chen, Qiuju Guo, Xiaobo Zhang, Yuli Zhang and Dianxiong Liu
In scenarios such as natural disasters and military strikes, it is common for unmanned aerial vehicles (UAVs) to form groups to execute reconnaissance and surveillance. To ensure the effectiveness of UAV communications, repeated resource acquisition issu...
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Andres Tassara,Gonzalo Yanez
Pág. 159 - 186
Using a flexural analysis of the correlation between relief and gravity, the factors that control the Andean segmentation (15-47°S) and the orogenic process are investigated. As a framework for this analysis, the following segmentation is proposed; the f...
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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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Mohd. Ahmed, Devinder Singh, Saeed AlQadhi and Nabil Ben Kahla
The displacement and stress-based error estimates in a posteriori error recovery of compressible and nearly-incompressible elastic finite element solutions is investigated in the present study. The errors in the finite element solutions, i.e., in displac...
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Manuel A. Duarte-Mermoud, Javier A. Gallegos, Norelys Aguila-Camacho and Rafael Castro-Linares
Adaptive and non-adaptive minimal realization (MR) fractional order observers (FOO) for linear time-invariant systems (LTIS) of a possibly different derivation order (mixed order observers, MOO) are studied in this paper. Conditions on the convergence an...
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Ali Akbar Kekha Javan, Assef Zare, Roohallah Alizadehsani and Saeed Balochian
This paper investigates the robust adaptive synchronization of multi-mode fractional-order chaotic systems (MMFOCS). To that end, synchronization was performed with unknown parameters, unknown time delays, the presence of disturbance, and uncertainty wit...
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Juan Li, Huadong Zhang, Tao Chen and Jiaqi Wang
Aiming at the control problem of autonomous underwater vehicle (AUV) pilot-following formation with communication delay and communication interruption, a controller based on feedback linearization and the PD control method is designed in this paper. Firs...
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