Results 61 to 70 of about 23,229 (213)

Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind

REMAT
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj   +1 more source

Three new approaches for solving a class of strongly nonlinear two-point boundary value problems

Boundary Value Problems, 2021
Three new and applicable approaches based on quasi-linearization technique, wavelet-homotopy analysis method, spectral methods, and converting two-point boundary value problem to Fredholm–Urysohn integral equation are proposed for solving a special case ...
Monireh Nosrati Sahlan, Hojjat Afshari
doaj   +1 more source

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

Integral equations for the wave function of particle systems

Semiconductor Physics, Quantum Electronics & Optoelectronics, 2019
Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral
K.V. Avdonin
doaj   +1 more source

An Approximate Solutions of Fuzzy Linear Fredholm Integral Equations [PDF]

Engineering and Technology Journal, 2010
The main aims of this paper are studying and modifying an approximate to solvefuzzy linear integral equations of Fredholm type.Two different Kinds of fuzzy functions are used to transform the ordinary linearintegral equations of Fredholm type to the ...
Nuha Abduljabbar Rajab, Mazin Hashim Suhhiem   +1 more
doaj   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

A New Family of Boundary-Domain Integral Equations for a Mixed Elliptic BVP with Variable Coefficient [PDF]

, 2015
A mixed boundary value problem for the stationary heat transfer partial differential equation with variable coefficient is reduced to some systems of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs).
Mikhailov, SE, Portillo, CF
core   +1 more source

Integrating evolution equations using Fredholm determinants

Electronic Research Archive, 2021
<p style='text-indent:20px;'>We outline the construction of special functions in terms of Fredholm determinants to solve boundary value problems of the string spectral problem. Our motivation is that the string spectral problem is related to the spectral equations in Lax pairs of at least three nonlinear evolution equations from mathematical ...
openaire   +2 more sources

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source