Results 41 to 50 of about 1,003 (182)

Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]

Sahand Communications in Mathematical Analysis, 2015
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj  

Numerical solution of nonlinear Volterra–Fredholm integral equations using hybrid of block-pulse functions and Taylor series

Alexandria Engineering Journal, 2013
A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
doaj   +1 more source

Existence and Spectral Stability Analysis of Viscous‐Dispersive Shock Profiles for Isentropic Compressible Fluids of Korteweg Type

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity coefficients are nonlinear smooth, positive functions of the specific volume, making the system the most ...
Raffaele Folino, Corrado Lattanzio, Ramón G. Plaza   +2 more
wiley   +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

Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind

Abstract and Applied Analysis, 2013
The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind.
Mohammad Almousa, Ahmad Ismail
doaj   +1 more source

Solving Linear Volterra – Fredholm Integral Equation of the Second Type Using Linear Programming Method

مجلة بغداد للعلوم, 2020
In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (
Muna Mansoor Mustafaf
doaj   +1 more source

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

On the solution of intuitionistic fuzzy nonlinear Fredholm integral equation using direct computational method

Journal of Big Data
Fuzzy integral equations play an important role in addressing uncertain mathematical problems. There are various techniques present in the literature to solve fuzzy linear integral equations.
Zain Khan, Saleem Abdullah, Ariana Abdul Rahimzai, Saifullah Khan   +3 more
doaj   +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

Multivariate representations of univariate marked Hawkes processes

Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 140-174, March 2026.
Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis, Conor Kresin, Boris Baeumer, Ting Wang   +3 more
wiley   +1 more source