Dr. Emilio a. Diarte-Carot

Solving Goldbach's Conjecture using Gaussian Arithmetic and a Probabilistic Model

Mathematics

This paper proves that Goldbach's conjecture is true.� The proof uses Gaussian modular arithmetic to calculate the�number of pairs of odd n...

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Ikrar Pramudya, Bagus Aqil Saputra, Ira Kurniawati

ANALYSIS OF THE COMPOSITION OF TWO PLANE ISOMETRIES: TRANSLATION, REFLECTION, AND ROTATION USING A LINEAR ALGEBRA APPROACH

Mathematics

Geometric transformation is a branch of mathematics that focuses on the transformation (bijective function) of geometric objects in a plane or transfo...

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The paper titled "ANALYSIS OF THE COMPOSITION OF TWO PLANE ISOMETRIES: TRANSLATION, REFLECTION, AND ROTATION USING A LINEER ALGEBRA APPROACH" presents...

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I. Blessy, I. Gnanaselvi

Some Results on Square Prime Cordial Graphs

Mathematics

Let G = (p, q) be a graph with p vertices and q edges. A SPC labeling of a graph G with vertex collection V(G) is a bijection a: V(G) --> {0, 1, 2,...

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This paper introduces a novel graph labeling scheme termed "Square Prime Cordial (SPC) labeling," aiming to classify graphs that admit such a labeling...

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Alasdair Urquhart

Formulas of one variable in KR

Mathematics

This note corrects an error in an earlier paper (Urquhart 2023)claiming that the algebra of three-variable formulas in the logic KR is finite.Here we...

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Mario Piazza, Andrea Sabatini

On anticut rules: classical, FDE-based and intuitionistic logics

Mathematics

In this paper, we investigate certain intricacies and peculiarities of the proof theory of deduction-refutation systems (D-R systems, henceforth), nam...

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Samed J. Aliyev, Maftun N. Heydarova , Arzu G. Aliyeva Aliyeva

ON THE EXISTENCE OF CLASSICAL SOLUTION TO ONE-DIMENSIONAL FOURTH ORDER SEMILINEAR EQUATIONS

Mathematics

In this paper, we prove the existence in small of classical solution of one-dimensional mixed problem for one class of fourth order semilin...

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BAGAYOGO Moussa, MINOUNGOU Youssouf, NEBIE Abdoul Wassiha, PARE Youssouf

HOMOTOPY PERTURBATION METHOD TO SOLVE DUFFING-VAN DER POL EQUATION

Mathematics

In this paper, the Homotopy Perturbation Method (HPM) and the Regular Perturbation Method (RPM) are used to study Duffing-Van der Pol equat...

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A. H. Tedjani, Mahmoud M. Abdelwahab, M. A. Abdelkawy

AN EFFICIENT SCHEME TO SOLVE FOURTH ORDER NONLINEAR TRIPLY SINGULAR FUNCTIONAL DIFFERENTIAL EQUATION

Mathematics

We present a novel mathematical model based on the fourth order multi-singular nonlinear functional differential equations. This designed n...

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The submitted work, titled "AN EFFICIENT SCHEME TO SOLVE FOURTH ORDER NONLINEAR TRIPLY SINGULAR FUNCTIONAL DIFFERENTIAL EQUATION," presents a numerica...

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Mohammad Almousa, Ahmad Al-Hammouri, Qutebah Ali Almomani, Mustafa Husam Alomari , Mustafa Mohammad Alzubaidi

SUMUDU AND ELZAKI INTEGRAL TRANSFORMS FOR SOLVING SYSTEMS OF INTEGRAL AND ORDINARY DIFFERENTIAL EQUATIONS

Mathematics

We present two integral transforms namely Sumudu (ST) and Elzaki (ET) transforms for solving systems of integral and ordinary differential...

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Gérard ZONGO, Ousséni SO , Geneviève BARRO

A NUMERICAL METHOD TO SOLVE THE VISCOSITY PROBLEM OF THE BURGERS EQUATION

Mathematics

Considering the viscosity problem of the Burgers equation, we give a numerical solution using the Cole-Hopf transformation. Received: Janua...

Review:

The submitted work, titled "A NUMERICAL METHOD TO SOLVE THE VISCOSITY PROBLEM OF THE BURGERS EQUATION," addresses a significant challenge in computati...

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