Results 51 to 60 of about 341 (180)
Advances in Mathematical Physics, 2022 The goal of this paper is study the mixed integral equation with singular kernel in two-dimensional adding to the time in the Volterra integral term numerically.
A. M. Al-Bugami
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The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
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Asymptotic solutions of linear Volterra integral equations with singular kernels [PDF]
Transactions of the American Mathematical Society, 1974 Volterra integral equations of the form u ′ ( t
Wong, J. S. W., Wong, R.
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On solving a singular Volterra integral equation
FilomatIn the paper, a general solution of the singular Volterra integral equation of the second kind is found. The feature of the considered integral equation lies in the fact that the integral of its kernel does not tend to zero as the upper limit approaches the lower one, thus making the Picard method inapplicable.
Murat Ramazanov +2 more
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Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis
Engineering Reports, Volume 8, Issue 4, April 2026.We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim +2 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
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Advanced Photonics Research, Volume 7, Issue 3, March 2026.This article proposes a deep learning (DL) approach for modeling and optimizing frequency‐doubled radio‐over‐fiber links. By collectively replacing traditional components with DL model, accurate system evaluation is achieved. Moreover, through an end‐to‐end architecture, performance optimization is accomplished.
Difei Shi +3 more
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On linear singular volterra integral equations of the second kind
Journal of Mathematical Analysis and Applications, 1984 Let \(\mu\) be a nonatomic, signed measure on the Borel sets of \([0,1]\), whose total variation measure is infinite on \([0,1]\), but finite on \([t,1]\), \(t\in (0,1)\). Let the measurable function \(k\) be defined on \(\Delta =\{(t,s):\) \(0\leq s\leq t\leq 1\}\) such that \(k(\circ,s)\) is absolutely continuous on \([s,1]\) with derivative \(k_ t ...
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Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels [PDF]
SIAM Journal on Mathematical Analysis, 1971 Differentiability of nonlinear Volterra integral equations of second kind with convolutional weakly singular ...
Miller, Richard K., Feldstein, Alan
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Noûs, Volume 60, Issue 1, Page 136-160, March 2026.Abstract It is well‐recognized in the sciences that a multitude of nonequivalent models are used by researchers to fulfill a range of goals, even for the same target system, a result known broadly as model pluralism. The possibility of the same form of pluralism occurring in logic, however, has not been adequately considered.
Ben Martin
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