Results 1 to 10 of about 949 (114)

Emergence of periodic soliton patterns in the time-fractional Hodgkin–Huxley model arising in modern neuroscience [PDF]

Scientific Reports
The time-fractional Hodgkin-Huxley Model (tfHHM) with Katugampola Fractional Derivatives (KFDs) is the main subject of the current study. This model was developed in modern neuroscience that imitate the way action potentials move along the giant axon in ...
Yousef Jawarneh, Safyan Mukhtar, Safiqul Islam, Yaouba Amadou   +3 more
doaj   +2 more sources

Optimal hyperdimensional representation for learning and cognitive computation [PDF]

Frontiers in Artificial Intelligence
Hyperdimensional Computing (HDC) is a neurally inspired computing paradigm that leverages lightweight, high-dimensional operations to emulate key brain functions.
Prathyush P. Poduval, Hamza Errahmouni Barkam, Xiangjian Liu, Sanggeon Yun, Yang Ni, Zhuowen Zou, Nathaniel D. Bastian, Mohsen Imani   +7 more
doaj   +2 more sources

An analytical exploration of dark and bright solitary wave solutions of time-fractional (3+1) -dimensional generalized Painlevé-type equation [PDF]

Scientific Reports
This research study constructs and examines solitary wave solutions to the Katugampola time-fractional $$(3 +1)$$ -dimensional generalized Painlev’e-type (also known as P-type) equation with the help of the generalized $$(r+\frac{G'}{G})$$ -expansion ...
Mohsin Khan, Rashid Ali, Ibraheem M. Alsulami, Amer Alsulami   +3 more
doaj   +2 more sources

Exact wave structures and bifurcation for the (2+1)-Dimensional bogoyavlensky–Konopelchenko equation using modified extended direct algebraic technique [PDF]

MethodsX
This study investigates exact analytical solutions and bifurcation dynamics of the (2+1)-dimensional Bogoyavlensky–Konopchenko (BK) equation, a nonlinear model that arises in fluid mechanics and nonlinear wave propagation.
Mohamed A. Elhady, Hamdy M. Ahmed, Ahmed M. Ahmed, Haytham M. Rezk, Wafaa B. Rabie   +4 more
doaj   +2 more sources

Visualizing a Cubic Linkage through the Use of CAS and DGS

Mathematics, 2022
Our goal is to discuss the different issues that arise when attempting to visualize a joints-and-bars cube through GeoGebra, a widespread program that combines dynamic geometry (DGS) and computer algebra systems (CAS). As is standard in the DGS framework,
Tomás Recio, Rafael Losada-Liste, Luis Felipe Tabera, Carlos Ueno   +3 more
doaj   +1 more source

New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method

Journal of Function Spaces, 2023
In the present study, the optimality approach is applied to find the exact solution of the Landau-Ginzburg-Higgs Equation (LGHE) using new transformations.
Khalil Ahmad, Khudija Bibi, Muhammad Shoaib Arif, Kamaleldin Abodayeh   +3 more
doaj   +1 more source

The Galois Complexity of Graph Drawing: Why Numerical Solutions are Ubiquitous for Force-Directed, Spectral, and Circle Packing Drawings

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, William Devanny, David Eppstein, Michael Goodrich   +3 more
doaj   +1 more source

Symbolic Methods for Analysing Bifurcations and Chaos of Two Five-Parameter Families of Planar Quadratic Maps

Science Journal of University of Zakho, 2020
In this work, we analyze the dynamical behaviors of two five-parameter families of planar quadratic maps by utilizing strategies of symbolic computation.
Sarbast H. Mikaeel, Bewar H. Othman
doaj   +1 more source

Mixed algorithm for solving boundary value problem

Computer Assisted Methods in Engineering and Science, 2023
Symbolic computation has been applied to Runge-Kutta technique in order to solve two-point boundary value problem. The unknown initial values are considered as symbolic variables, therefore they will appear in a system of algebraic equations, after the ...
Béla Paláncz, György Popper
doaj  

SymbAlign: A Hybrid Symbolic–Neural Alignment Framework for Automated Mathematical Solution Scoring [PDF]

EPJ Web of Conferences
Automated scoring of mathematical solutions is challenging due to the diversity of solution strategies and the need to assess both correctness and reasoning.
Johnsi R., Kumar Guntur Bharadwaja
doaj   +1 more source