Results 51 to 60 of about 206,050 (258)
Mathematics, 2021 The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 more
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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
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
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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
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Numerical solution of 2D-fuzzy Fredholm integral equations using optimal homotopy asymptotic method
Alexandria Engineering Journal, 2021 This paper deals with the solution of system of 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon the parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM).
Sumbal Ahsan +5 more
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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 +3 more
wiley +1 more source
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
Fredholm-Choquet integral equations
Journal of Integral Equations and Applications, 2019 The author considers the classical second-kind Fredholm integral equation, in which the Lebesgue-type integral \(\int\) is replaced by the more general Choquet integral \((\mathrm{c}) \int\) with respect to a monotone, submodular and continuous from below set function \(\mu: \mathcal{C}\rightarrow [0,+\infty]\), and studies the corresponding Fredholm ...
openaire +2 more sources
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 +3 more
wiley +1 more source
An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries [PDF]
, 2011 This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions.
Ahmad Alejaily, Ejaily Milad +7 more
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