Results 81 to 90 of about 576 (215)
IET Electric Power Applications, Volume 20, Issue 1, January/December 2026.In this paper, a PI controller is improved for DVR to compensate voltage drops and reduce the series transformer inrush current effectively. The controller parameters are optimised using the modified arctic puffin optimisation (MAPO) algorithm in order to improve the performance of DVR.
Mohammad Ali Taghikhani
wiley +1 more source
, 2003 This paper presents a new discrete Gronwall inequality. Using the inequality, we prove convergence and error estimate of the numerical solutions of the second weakly singular Volterra integral equation, where discrete equation is derived by Novot's ...
Tao, Lü, Yong, Huang
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On the solution of Fredholm-Volterra integral equation with discontinuous kernel in time. [PDF]
, 2014 The existence of a unique solution of Fredholm-Volterra integral equation (F-VIE) under certain conditions, are discussed and proved. The Fredholm integral term (FIT) is considered in position with continuous kernel, while the Volterra integral ...
El - Kojok, M. M. +2 more
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IET Renewable Power Generation, Volume 20, Issue 1, January/December 2026.In this study, a novel approach to estimating the grid‐connected micro grid load is put forth. This research predicts the micro grid load with the method GMDH‐MPSO‐LOF. ABSTRACT Precision tools are required because load forecasting is essential for power system planning and optimal performance.
Houman Gadari +3 more
wiley +1 more source
Solution of a singular integral equation by a split-interval method
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J. +3 more
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Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
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Tau approximate solution of weakly singular Volterra integral equations
Mathematical and Computer Modelling, 2013 Abstract In this paper, we present a numerical solution of weakly singular Volterra integral equations including the Abel’s equations by the Tau method with arbitrary polynomial bases. The Tau method produces approximate polynomial solutions of differential, integral and integro-differential equations. An extension of the Tau method has been done for
S. Karimi Vanani, Fazlollah Soleymani
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Efficient numerical methods for Volterra integral equations of Hammerstein type
, 2006 Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
core
, 1993 Nonlinear Volterra integral equation with weakly singular kernels are considered and are solved by applying piecewise collocation methods based on multiquadric approximations combined with Gauss quadrature ...
Kansa, E. J. +2 more
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The Novel Numerical Solutions for Time‐Fractional Fishers Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan +3 more
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