Results 31 to 40 of about 114 (105)

An Efficient Transform‐Based Approach for Some Nonlinear Singular Boundary Value Problems With Nonlocal Integral Boundary Specifications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper presents a method for solving some nonlinear singular boundary value problems with nonlocal integral boundary conditions. The method first converts the problem into a dynamic optimization problem with dynamical and algebraic constraints. A parameter optimization algorithm is then used to solve this optimization problem.
Mohammad Ali Mehrpouya, Patricia J. Y. Wong, Jagan Mohan Jonnalagadda   +2 more
wiley   +1 more source

Finding initial solutions for a class of nonlinear BVP [PDF]

, 2015
The purpose of these paper is to solve a nonlinear boundary value problem having the origin in fluid mechanics. The equation has in general several solutions and the main difficulty is to find starting solutions.
TRÎMBIȚAȘ, Maria Gabriela, TRÎMBIȚAȘ, Radu T.   +1 more
core  

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

Demonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source

Analysis of Spectral Tau Method for Approximate Solution of Fourth‐Order BVP in Hilbert Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research explores the effectiveness of the spectral Tau method for solving fourth‐order differential boundary value problem (FBVP). We transform this FBVP into a Volterra–Fredholm integral equation (VFIE). By applying Banach’s fixed‐point theorem, we investigate the existence and uniqueness of the solution for the VFIE form of the FBVP equation ...
Javad Shokri, Smritijit Sen
wiley   +1 more source

Two-step multiblock hybrid method for the simulation of three-dimensional chaotic systems

Scientific African
Chaotic systems, characterized by their butterfly-shaped phase portraits, nonlinearity, extreme sensitivity to initial conditions, and irregular, non-periodic behavior, pose significant challenges in numerical simulations due to the absence of closed ...
Joshua Sunday, Reem Allogmany, Nathaniel Mahwash Kamoh, Olabode Oludare Bamisile   +3 more
doaj   +1 more source

GUBIC: The global urban biological invasions compendium for plants

Ecological Solutions and Evidence, Volume 6, Issue 1, January–March 2025.
By integrating multiple data sources, we compiled a Global Urban Biological Invasions Compendium (GUBIC) for vascular plants representing 553 urban centres from 61 countries across every continent except Antarctica. This database includes 8140 non‐native plant species from 253 families.
Daijiang Li, Luke J. Potgieter, Myla F. J. Aronson, Irena Axmanová, Benjamin Baiser, Marta Carboni, Laura Celesti‐Grapow, Sonja Knapp, Ingolf Kühn, Ana Carolina Lacerda de Matos, Zdeňka Lososová, Flavia A. Montaño‐Centellas, Petr Pyšek, David M. Richardson, Lauren B. Trotta, Rafael D. Zenni, Sarel S. Cilliers, Bruce D. Clarkson, Amy J. S. Davis, Rebecca W. Dolan, Marcin K. Dyderski, Franz Essl, Orou G. Gaoue, Joanne Gui, Charly Géron, Gustavo Heringer, Cang Hui, Anzar A. Khuroo, Stefan Klotz, Peter M. Kotanen, Holger Kreft, Frank A. La Sorte, Jonas J. Lembrechts, Bernd Lenzner, Christopher A. Lepczyk, Scott MacIvor, Cristina Martínez‐Garza, Akira S. Mori, Charles Nilon, Jan Pergl, Stefan J. Siebert, Alyona S. Tretyakova, Toby P. N. Tsang, Kei Uchida, Mark van Kleunen, Montserrat Vilà, Hua‐Feng Wang, Patrick Weigelt, Peter Werner, Nicholas S. G. Williams, Marten Winter, Marc W. Cadotte   +51 more
wiley   +1 more source

Integer–Fractional Order of Identical Eigenvalues Chaotic Oscillator: Analysis and Shadow Economy Application

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur, Faruk Ozger, Nasser Saeed, Surma Ibrabim, Viet-Thanh Pham, Giuseppe Grassi, Peiguang Wang   +6 more
wiley   +1 more source

Testing reliability and validity of practitioner‐rated parental sensitivity: A novel tool for practice

Infant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.
Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer, Mirjam Oosterman, Anne Tharner, Carlo Schuengel   +3 more
wiley   +1 more source

PERFORMANCE COMPARISON OF SPREAD AND BERNSTEIN BASIS IN THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATION VIA COLLOCATION METHOD [PDF]

, 2022
In this article, basis functions of Spread and Bernstein polynomials are linearly combined with unknown coefficients. These linear combinations are applied in formulating approximate solution for fractional differential equations.
Joseph, F. L, Atanyi, Y. E., Olagunju , A. S.   +2 more
core  

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

Demonstratio Mathematica
In this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj   +1 more source