Results 31 to 40 of about 14,119 (263)
Fractal and Fractional, 2023 This research uses a novel analytical method known as the modified Extended Direct Algebraic Method (mEDAM) to explore families of soliton solutions for the complex structured Coupled Fractional Biswas–Arshed Model (CFBAM) in Birefringent Fibers.
Humaira Yasmin +3 more
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Perov's theorem applied to systems of equations
Modern Mathematical Methods, 2023 In this paper, we consider systems of equations having a linear part and also a nonlinear part. We give sufficient conditions which imply the existence and uniqueness of solutions to the system.
Gabriela Motronea +2 more
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Journal of Graph Algorithms and Applications, 2015 Many well-known graph drawing techniques, including force-directed drawings, spectral graph layouts, multidimensional scaling, and circle packings, have algebraic formulations.
Michael Bannister +3 more
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Sweeping algebraic curves for singular solutions
Journal of Computational and Applied Mathematics, 2010 Many problems give rise to polynomial systems. These systems often have several parameters and we are interested to study how the solutions vary when we change the values for the parameters. Using predictor-corrector methods we track the solution paths. A point along a solution path is critical when the Jacobian matrix is rank deficient.
Kathy Piret, Jan Verschelde
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Meromorphic Solutions of Some Algebraic Differential Equations
Abstract and Applied Analysis, 2014 By means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related results of Barsegian et al. (2002).
Jianming Lin, Weiling Xiong, Wenjun Yuan
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Positive solutions and eigenvalue intervals for systems of algebraic equations
上海师范大学学报. 自然科学版, 2018 During the last few years, the study on the existence of nontrivial solutions for nonlinear algebraic equations or nonlinear systems of algebraic equations has attracted much attention of some researchers, and some interesting results have been obtained.
Liao Fangfang, Wang Yanchao
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Traveling wave structures of some fourth-order nonlinear partial differential equations
Journal of Ocean Engineering and Science, 2023 This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen +3 more
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Algebraic Solutions to a Class of Interval Equations [PDF]
J. Univers. Comput. Sci., 1998 JUCS - Journal of Universal Computer Science Volume Nr.
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Intelligent Tutoring Systems for Adult Learning in STEM Disciplines
New Directions for Adult and Continuing Education, EarlyView.ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
wiley +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source