Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations by A. R. Seadawy, A. Sayed

“…New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed.…”
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An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders by Lili Zhang, Chengbo Zhai

“…By applying a fixed point theorem for three operators containing $ x\in{AxBx+Cx} $ in Banach algebras, we get an existence result for the discussed system via multi-valued maps in a Banach space. …”
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Tri-vector deformations with external fluxes by Sergei Barakin, Kirill Gubarev, Edvard T. Musaev

“…We derive explicit transformation rules for 11D supergravity component fields and prove that these generate solutions given the same algebraic conditions hold: generalized Yang–Baxter equation and the unimodularity condition.…”
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Pythagorean fuzzy Artinian and Noetherian ring by Meryem Fakhraoui, Idris Bakhadach, Sofyane Achik, Hamid Sadiki

“…Furthermore, this study introduces Pythagorean fuzzy Noetherian rings, delineating their intrinsic attributes, thereby enriching the comprehensive comprehension of these algebraic constructs.…”
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Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays by Haiyan Yuan, Jingjun Zhao, Yang Xu

“…It is shown that strongly algebraically stability gives D-Convergence DA, DAS, and ASI stability give GDN stability. …”
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Haar Wavelet Method for Nonlinear Vibration of Functionally Graded CNT-Reinforced Composite Beams Resting on Nonlinear Elastic Foundations in Thermal Environment by Jianyu Fan, Jin Huang

“…To evaluate the nonlinear natural frequencies, the obtained equations are discretized into a set of nonlinear algebraic equations through HWDM and then the direct iteration technique is employed to solve the resulting algebraic equations. …”
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An original method of direct calculation for the identification of the last hinge and the definition of the deformative state at collapse by Roberto Maria De Salvo

“…On the contrary, the rotations resulting from an imprinted motion in the verse of collapse movement are algebraically added. If, for each hinge, the product between the plastic moment and the correspondent algebraic sum is made, this product has to be surely positive, due to the verses concordance. …”
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On the Computation of Degenerate Hopf Bifurcations for n-Dimensional Multiparameter Vector Fields by Michail P. Markakis, Panagiotis S. Douris

“…The restriction of an n-dimensional nonlinear parametric system on the center manifold is treated via a new proper symbolic form and analytical expressions of the involved quantities are obtained as functions of the parameters by lengthy algebraic manipulations combined with computer assisted calculations. …”
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Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications by Saad Ihsan Butt, Muhammad Tariq, Adnan Aslam, Hijaz Ahmad, Taher A. Nofal

“…In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties. As a result, several new integral inequalities are established. …”
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On the Nonexistence of Order Isomorphisms between the Sets of All Self-Adjoint and All Positive Definite Operators by Lajos Molnár

“…We conjecture that a similar assertion is true for general noncommutative C*-algebras and present a proof in the finite dimensional case.…”
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On Quantum Statistical Mechanics: A Study Guide by Wladyslaw Adam Majewski

“…These include the emergence of algebraic approach and the necessity of employment of infinite-dimensional structures. …”
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Combinatorics in N = 1 Heterotic Vacua by Seung-Joo Lee

“…The Calabi-Yau threefolds are algebraically realised as hypersurfaces in toric varieties, and a large class of vector bundles are constructed thereon as monads. …”
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THREE-DIMENSIONAL RECONSTRUCTION BY SART METHOD WITH MINIMIZATION OF THE TOTAL VARIATION by S. A. Zolotarev, M. A. Mirzavand

“…Computed tomography is still being intensively studied and widely used to solve a number of industrial and medical applications. The algebraic reconstruction method with simultaneous iterations SART considered in this work as one of the most promising of iterative methods, suitable for the tomographic problems. …”
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Modeling Dominant Height Growth in Planted Pinus pinea Stands in Northwest of Tunisia by Sghaier Tahar, Palahi Marc, Garchi Salah, Bonet José Antonio, Ammari Youssef, Pique Miriam

“…Six generalized algebraic difference equations (GADAs) derived from the base models of log-logistic, Bertalanffy-Richards, and Lundqvist-Korf were used to develop site index model for Pinus pinea plantations in north-west of Tunisia. …”
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On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions by M. Zakarya, Ghada AlNemer, H. A. Abd El-Hamid, Roqia Butush, H. M. Rezk

“…By utilizing the peculiarities of superquadratic and subquadratic functions, we give the extensions for multidimensional inequalities of Hardy-type with general kernel. We use some algebraic inequalities such as the Minkowski inequality, the refined Jensen inequality, and the Bernoulli inequality to prove the essential results in this paper. …”
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A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method by Changqing Yang, Jianhua Hou

“…The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. …”
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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique by Youssef Esmaiel, Magdi El-Azab, Galal El-Baghdady

“…By employing these polynomials, the singular Volterra integral equation is transformed into a set of algebraic equations that need to be solved. Subsequently, numerical analysis is introduced, followed by some examples and a comparison of them with existing methods to demonstrate the soundness and practicality of our method.…”
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Linearization from Complex Lie Point Transformations by Sajid Ali, M. Safdar, Asghar Qadir

“…Complex Lie point transformations are used to linearize a class of systems of second order ordinary differential equations (ODEs) which have Lie algebras of maximum dimension d, with d≤4. We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. …”
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Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions by GuoLin Yu

“…In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. …”
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Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation by Binlu Feng, Yufeng Zhang

“…Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the corresponding negative-order integrable couplings of the negative-order KdV equations are followed to be obtained. …”
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