图书简介
This book is a collection of invited and reviewed chapters on state-of-the-art developments in interdisciplinary mathematics. The book discusses recent developments in the fields of theoretical and applied mathematics, covering areas of interest to mathematicians, scientists, engineers, industrialists, researchers, faculty, and students. Readers will be exposed to topics chosen from a wide range of areas including differential equations, integral reforms, operational calculus, numerical analysis, fluid mechanics, and computer science. The aim of the book is to provide brief and reliably expressed research topics that will enable those new or not aware of mathematical sciences in this part of the world.While the book has not been precisely planned to address any branch of mathematics, it presents contributions of the relevant topics to do so. The topics chosen for the book are those that we have found of significant interest to many researchers in the world. These also are topics that are applicable in many fields of computational and applied mathematics. This book constitutes the first attempt in Jordanian literature to scientifically consider the extensive need of research development at the national and international levels with which mathematics deals. The book grew not only from the international collaboration between the authors but rather from the long need for a research-based book from different parts of the world for researchers and professionals working in computational and applied mathematics.
V. Bevia, C. Burgos, J.C. Cortes, A. Navarro-Quiles, and R. J. Villanueva: Analysing Differential Equations with Uncertainties via the Liouville–Gibbs Theorem: Theory and Applications.- Reem Edwan, Rania Saadeh, Samir Hadid, Mohammed Al-Smadi, and Shaher Momani: Solving Time-Space Fractional Cauchy Problem with Constant Coefficients by Finite Difference Method.- Mohammad S. Alkousa: On Modification of an Adaptive Stochastic Mirror Descent Algorithm for Convex Optimization Problems with Functional Constraints.- Amir Baklouti and Samiha Hidri: Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems.- Ko Messan Agbavon, Appanah Rao Appadu, and Bilge Inan: Comparative Study of Some Numerical Methods for the Standard Fitzhugh–Nagumo Equation.- Mohammed Shqair, and Essam R. El-Zahar: Analytical Solution of Neutron Diffusion Equation in Reflected Reactors using Modified Differential Transform Method.- Doria Affane and Mustapha Fateh Yarou: Second-Order Perturbed State-Dependent Sweeping Process with Subsmooth Sets.- Khaled Alhussan, Kirill Delendik, Natalia Kolyago, Oleg Penyazkov, and A.V. Olga Voitik: Membrane Hydrogen Mixture Separation: Modelling and Analysis.- TalatAlkhouli, Hatem S.A. Hamatta, Mustafa Mamat, and Mohd Rivaie: An Efficient Hybrid Conjugate Gradient Method for Unconstrained Optimization.- Karima Laoubi and Djamila Seba: On the Polynomial Decay of the Wave Equation with Wentzell Conditions.- Shatha Hasan, Samir Hadid, Mohammed Al-Smadi, Omar Abu Arqub, and Shaher Momani: Solutions of Fractional Verhulst Model by Modified Analytical and Numerical Approaches.- Julia Calatayud , Juan Carlos Cortes, Marc Jornet, and Laura Villafuerte: Is It Worthwhile Considering Orthogonality in Generalized Polynomial Chaos Expansions Applied to Solving Stochastic Models?
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