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American Journal of Computational Mathematics

ISSN Print: 2161-1203

ISSN Online: 2161-1211

Website: http://www.scirp.org/journal/ajcm

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Quantization of the Kinetic Energy of Deterministic Chaos

Victor A. Miroshnikov

On Fermat Last Theorem: The New Efficient Expression of a Hypothetical Solution as a Function of Its Fermat Divisors

Prosper Kouadio Kimou

Analyzing Electric Circuits with Computer Algebra

Haiduke Sarafian

Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method

Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra

Semi-Implicit Scheme to Solve Allen-Cahn Equation with Different Boundary Conditions

Banan Alqanawi, Musa Adam Aigo

Application of Principal Component Analysis as Properties and Sensory Assessment Tool for Legume Milk Chocolates

Preethini Selvaraj, Arrivukkarasan Sanjeevirayar, Anhuradha Shanmugam

On the Numerical Solution of Singular Integral Equation with Degenerate Kernel Using Laguerre Polynomials

Khadeejah Sultan Alroogy, Musa Adam Aigo

Picture Fuzzy Relations over Picture Fuzzy Sets

Mohammad Kamrul Hasan, Abeda Sultana, Nirmal Kanti Mitra

Coulomb, Yukawa, and Hooke’s Oscillations

Haiduke Sarafian

Synovial Joint Study

Nawal Odah Al-Atawi, Daoud Suleiman Mashat

Transitioning from Discrete to Continuous Distribution Mathematica vs. Excel —An Example

Haiduke Sarafian

Finite Element Analysis of Magnetohydrodynamic Natural Convection within Semi-Circular Top Enclosure with Triangular Obstacles

Arju Ara Runa, Md. Abdul Alim, Md. Shahidul Alam, Kazi Humayun Kabir

Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5th-CASAM-N): I. Mathematical Framework

Dan Gabriel Cacuci

Fifth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems (5th-CASAM-N): II. Paradigm Application to a Bernoulli Model Comprising Uncertain Parameters

Dan Gabriel Cacuci

Stress Waves in Polymeric Fluids

Karan S. Surana, Michael D. Kitchen

On Fermat’s Last Theorem and Galaxies of Sequences of Positive Integers

Joachim Moussounda Mouanda

Maxwell-Boltzmann Distribution Mathematica Based Practitioner’s Approach

Haiduke Sarafian

Designing Physics Problems with Mathematica

Haiduke Sarafian

A Class of Smoothing Modulus-Based Iterative Method for Solving Implicit Complementarity Problems

Cong Guo, Chenliang Li, Tao Luo

Analysis of Soft Decision Trees for Passive-Expert Reinforcement Learning

Jonathan Martini, Daniel J. Fonseca

Variable Selection in Randomized Block Design Experiment

Sadiah Mohammed Aljeddani

Higher Order Implicit Scheme for Nonlinear Time-Dependent Convection-Diffusion- Reaction Equation

Uzair Ahmed, Daoud Suleiman Mashat, Dalal Adnan Maturi

Characteristics of an Accelerated Transverse Mechanical Pulse and Its Implications

Haiduke Sarafian

Using Riccati Equation to Construct New Solitary Solutions of Nonlinear Difference Differential Equations

Xinxiang Liu, Kaiwen Cui, Guojiang Wu

Insight into Dynamics of Hydromagnetic Flow of Micropolar Fluid Containing Nanoparticles and Gyrotactic Microorganisms at Weak and Strong Concentrations of Microelements: Homotopy Analysis Method

Olubode Kolade Koriko, Adeola John Omowaye, Amos Oladele Popoola, Tosin Oreyeni, Abigail Ayooye Adegbite, Emmanuel Abiodun Oni, Emmanuel Omokhuale, Muhammad Muhammad Altine

A Computational Investigation of the Lid-Driven Cavity Flow

Nawal Odah Al-Atawi, Daoud Suleiman Mashat

Designing Physics Problems with Mathematica Example II

Haiduke Sarafian

Estimation of Thermal Pollution Using Numerical Simulation of Energy Equation Coupled with Viscous Burgers’ Equation

Prokriti Biswas, Laek Sazzad Andallah, Khandaker Md. Eusha-Bin-Hafiz

Hyperbolic Method to Explore Multiplicity Flow Solutions in a Four-Sided Lid-Driven Cavity

Hubert Baty

Electrified Bow and Arrow

Haiduke Sarafian

Chebyshev Polynomial-Based Analytic Solution Algorithm with Efficiency, Stability and Sensitivity for Classic Vibrational Constant Coefficient Homogeneous IVPs with Derivative Orders n, n-1, n-2

David P. Stapleton

Impact of the Evolution of a Curved Charge Distribution on Electric Field

Haiduke Sarafian

Block Extension of a Single-Step Hybrid Multistep Method for Directly Solving Fourth-Order Initial Value Problems

Monday Kolawole Duromola, Adelegan Lukuman Momoh, Olusegun Mayowa Akinmoladun

Impact of a Mobile Void within a Charge Distribution on the Electric Field

Haiduke Sarafian

A Mathematical Model of Global Equity for Allocating Asteroid Resources Based on Analytic Hierarchy Process

Shuyang Qian

Mathematical Models for a Social Partitioning Problem

Vardges Melkonian

Nonlinear Electrostatic “Hesitant” Oscillator

Haiduke Sarafian

Polynomial Time Method for Solving Nash Equilibria of Zero-Sum Games

Yoshihiro Tanaka, Mitsuru Togashi

Convergence and Superconvergence of Fully Discrete Finite Element for Time Fractional Optimal Control Problems

Yuelong Tang

Alternate Cooling Model vs Newton’s Cooling

Haiduke Sarafian

On a Dual to the Properties of Hurwitz Polynomials I

Gastón Vergara-Hermosilla

Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: II. Mathematical Expressions and CPU-Time Comparisons for Computing 4th-Order Sensitivities

Dan Gabriel Cacuci, Ruixian Fang

Fourth-Order Adjoint Sensitivity Analysis of an OECD/NEA Reactor Physics Benchmark: I. Mathematical Expressions and CPU-Time Comparisons for Computing 1st-, 2nd- and 3rd-Order Sensitivities

Dan Gabriel Cacuci, Ruixian Fang

What Projective Angle Makes the Arc-Length of the Trajectory in a Resistive Media Maximum? A Reverse Engineering Approach

Haiduke Sarafian

Shared Hyperplanes and Normal Families of Holomorphic Curves

Xiaojie Zheng

A Study of Banach Fixed Point Theorem and It’s Applications

Md. Abdul Mannan, Md. R. Rahman, Halima Akter, Nazmun Nahar, Samiran Mondal

Verifiable Secret Sharing Scheme Based on Certain Projective Transformation

Bin Li

Quartic Non-Polynomial Spline for Solving the Third-Order Dispersive Partial Differential Equation

Zaki Mrzog Alaofi, Talaat Sayed Ali, Faisal Abd Alaal, Silvestru Sever Dragomir

Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping

Tongxin Wang, Ziwen Jiang, Zhe Yin

Collatz Sequences and Characteristic Zero-One Strings: Progress on the 3x + 1 Problem

David C. Kay

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