Results 41 to 50 of about 100 (92)

Stability and convergence analysis on Shishkin mesh for a nonlinear singularly perturbed problem with three-point boundary condition

open access: yes, 2021
The present study is conducted on finite difference method in Shishkin piecewise uniform mesh in a singularly perturbed boundary value problem for a nonlinear differential equation.
Arslan, Derya
core  

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

open access: yesInternational 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   +2 more
wiley   +1 more source

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

open access: yes, 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   +1 more
core  

Quintic B-spline method for numerical solution of fourth order singular perturbation boundary value problems [PDF]

open access: yes, 2018
In this communication, we have studied an efficient numerical approach based on uniform mesh for the numerical solutions of fourth order singular perturbation boundary value problems.
Ram Kishun Lodhi   +3 more
core   +1 more source

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

open access: yesDemonstratio 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

open access: yesJournal 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

open access: yesScientific 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   +3 more
doaj   +1 more source

GUBIC: The global urban biological invasions compendium for plants

open access: yesEcological 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   +51 more
wiley   +1 more source

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

open access: yesInternational 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   +6 more
wiley   +1 more source

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

open access: yesInfant 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   +3 more
wiley   +1 more source

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