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Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications [PDF]
Journal of Inequalities and Applications, 2008 Some new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in the analysis of various problems in the theory of certain classes
Ma Qing-Hua +2 more
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Singularly perturbed Volterra integral equations with weakly singular kernels [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay ...
Angelina Bijura
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A M\"untz-Collocation spectral method for weakly singular volterra integral equations [PDF]
Journal of Scientific Computing, 2019 In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s)^{-\mu ...
Azaiez, Mejdi +3 more
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Two‐grid iteration method for weakly singular integral equations
Mathematical Modelling and Analysis, 2000 For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems.
K. Hakk
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Ain Shams Engineering Journal, 2022 We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla +3 more
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Journal of Inequalities and Applications, 2017 The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities.
Zizun Li, Wu-Sheng Wang
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Product Integration for Weakly Singular Integral Equations [PDF]
Mathematics of Computation, 1981 The product integration method is used for the numerical solution of weakly singular integral equations of the second kind. These equations often have solutions which have derivative singularities at the endpoints of the range of integration. Therefore, the order of convergence results of de Hoog and Weiss for smooth solutions do not hold in general ...
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Boundary-value problems for weakly singular integral equations
Discrete & Continuous Dynamical Systems - B, 2022 <p style='text-indent:20px;'>We consider a perturbed linear boundary-value problem for a weakly singular integral equation. Assume that the generating boundary-value problem is unsolvable for arbitrary inhomogeneities. Efficient conditions for the coefficients guaranteeing the appearance of the family of solutions of the perturbed linear boundary-
Boichuk, Oleksandr, Feruk, Victor
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Journal of Mathematics, 2022 In this paper, we establish several new weakly singular integral inequalities that generalize several previously known ones. Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional ...
Abdellatif Ben Makhlouf +3 more
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Generalised Dirichelt-to-Neumann map in time dependent domains [PDF]
, 2012 We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function.
Baratella +11 more
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