Results 31 to 40 of about 1,686 (292)
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.
Pelloni, Beatrice; id_orcid +2 more
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International Journal of Differential Equations, 2018 An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan +2 more
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Singularity Subtraction for Nonlinear Weakly Singular Integral Equations of the Second Kind [PDF]
, 2019 The singularity subtraction technique for computing an approximate solution of a linear weakly singular Fredholm integral equation of the second kind is generalized to the case of a nonlinear integral equation of the same kind. Convergence of the sequence of approximate solutions to the exact one is proved under mild standard hypotheses on the ...
Ahues, Mario +3 more
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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique [PDF]
Computational Algorithms and Numerical DimensionsThis study presents a method to solve weakly singular Volterra integral equations using an approximation approach. The method relies on Chelyshkov wavelet polynomials. The characteristics of the Chelyshkov wavelet are presented.
Youssef Esmaiel +2 more
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Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan +7 more
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Results in Applied Mathematics, 2023 This paper presents efficient collocation methods for linear Volterra integral equations with weakly singular highly oscillatory kernels. The numerical steepest descent method and generalized Gauss–Laguerre rule are utilized to calculate the weakly ...
Qinghua Wu, Mengjun Sun
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Second-order maximum principle controlled weakly singular Volterra integral equations [PDF]
Archives of Control SciencesThis work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems. For optimum controls, we prove a second-order Pontryagin type maximal principle.
Jasarat J. Gasimov, Nazim I. Mahmudov
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Genetic programming approaches for solving elliptic partial differential equations [PDF]
, 2008 In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A. +5 more
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Advances in Difference Equations, 2019 This paper investigates some new retarded weakly singular integral inequalities with discontinuous functions for two independent variables. The inequalities given here can be used in the qualitative analysis of various problems for integral equations and
Yaoyao Luo, Run Xu
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The properties of solutions of weakly singular integral equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981 AbstractWe examine the differential properties of the solution of the linear integral equation of the second kind, whose kernel depends on the difference of arguments and has an integrable singularity at the point zero. The derivatives of the solution of the equation have singularities at the end points of the domain of integration, and we derive ...
Vainikko, G., Pedas, A.
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