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An Iterative Approach for Solving Fractional Differential Equations Using the α-Generalized Daftardar–Jafari Method [version 1; peer review: 2 approved]

F1000Research
Background Fractional calculus has gained significant attention due to its applications in modeling complex systems. This paper introduces several fundamental fractional operators, including the Riemann–Liouville, Caputo, and Hadamard operators.
Sahib Abdulkadhim Sachit, Hassan Kamil Jassim   +1 more
doaj   +1 more source

Preconditioned Generalized Minimal Residual Method for Solving Fractional Advection-Diffusion Equation

پژوهش‌های ریاضی, 2019
Introduction Fractional differential equations (FDEs)  have  attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc.
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APPLICATION OF SIMD-INSTRUCTIONS TO INCREASE THE EFFICIENCY OF NUMERICAL METHODS FOR SOLVING SLAE

Компютерні системи та інформаційні технології
Computational efficiency has become a key factor in progress across many fields of science and technology. However, traditional methods for improving the performance of computational systems have reached their limits, necessitating the search for new ...
Oleg ZHULKOVSKYI, Inna ZHULKOVSKA, Hlib VOKHMIANIN, Alexander FIRSOV, Illia TYKHONENKO   +4 more
doaj   +1 more source

An Analytical-Numerical Method for the Solution of Nonlinear Fractional Fredholm Integro-Differential Equations With Logarithmic Weakly Singular Kernel

Journal of Mathematics
In this work, we investigate a numerical method for solving nonlinear fractional Fredholm integro-differential equations with logarithmic weakly singular kernels.
Ali Edham Awadh, Esmaeil Najafi
doaj   +1 more source

A Robust and Versatile Numerical Framework for Modeling Complex Fractional Phenomena: Applications to Riccati and Lorenz Systems

Fractal and Fractional
The fractional differential quadrature method (FDQM) with generalized Caputo derivatives is used in this paper to show a new numerical way to solve fractional Riccati equations and fractional Lorenz systems.
Waleed Mohammed Abdelfattah, Ola Ragb, Mohamed Salah, Mokhtar Mohamed   +3 more
doaj   +1 more source

Low-Complexity SAOR and Conjugate Gradient Accelerated SAOR Based Signal Detectors for Massive MIMO Systems

Applied System Innovation
A major challenge for massive multiple-input multiple-output (MIMO) technology is designing an efficient signal detector. The conventional linear minimum mean square error (MMSE) detector is capable of achieving good performance in large antenna systems ...
Imran A. Khoso, Mazhar Ali, Muhammad Nauman Irshad, Sushank Chaudhary, Pisit Vanichchanunt, Lunchakorn Wuttisittikulkij   +5 more
doaj   +1 more source

Synthetic Aperture Sonar Compressive Sensing Imaging by Iterative Optimization Based on Ridge Regression

IEEE Access
Synthetic aperture sonar (SAS) imaging based on compressive sensing (CS) has shown strong potential for high-resolution reconstruction under sparse sampling conditions.
Yingqi Yang, Linyuan Guo, Liran Ma
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Numerical Investigation of Preconditioning for Iterative Methods in Linear Systems Obtained by Extended Element-Free Galerkin Method

Journal of Advanced Simulation in Science and Engineering, 2016
Itoh, Taku, Saitoh, Ayumu, Ikuno, Soichiro, Kamitani, Atsushi   +3 more
openaire   +2 more sources

A general class of iterative splitting methods for solving linear systems. ETNA - Electronic Transactions on Numerical Analysis

Recently Ahmadi et al. [IEEE Trans. Parallel Distrib. Syst., 32 (2021), pp. 1452–1464] and Tagliaferro [Research Square (2022)] proposed some iterative methods for the numerical solution of linear systems which, under the classical hypothesis of strict diagonal dominance, typically converge faster than the Jacobi method but slower than the forward ...
Tagliaferro, Fulvio, Zennaro, Marino, Novati, Paolo   +2 more
openaire  

On a Control Problem by Lumped-Parameter at the Right-Hand Side of the Semi-Linear Hyperbolic System

Известия Иркутского государственного университета: Серия "Математика", 2015
At the article an optimal control problem by a first order system of semi-linear hyperbolic equations in the class of smooth control function is studied.
A.V. Arguchintsev, V.P. Poplevko
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