Results 31 to 40 of about 1,588 (293)
Journal of Mathematics, 2021 In this paper, we present a numerical scheme for finding numerical solution of a class of weakly singular nonlinear fractional integro-differential equations. This method exploits the alternative Legendre polynomials.
Guodong Shi, Yanlei Gong, Mingxu Yi
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Collocation Solutions of a Weakly Singular Volterra Integral Equation
Trends in Computational and Applied Mathematics, 2007 The discrete superconvergence properties of spline collocation solutions for a certain Volterra integral equation with weakly singular kernel are analyzed.
T. Diogo, P. Lima
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, 2016 In this paper, a numerical method is proposed for solving weakly singular Fredholm integral equations in Hilbert reproducing kernel space (RKHS). The Taylor series is used to remove singularity and reproducing kernel function are used as a basis.
Alvandi, Azizallah, Paripour, Mahmoud
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Advanced Modeling and Simulation in Engineering Sciences, 2021 In this study, we applied an advanced barycentric Lagrange interpolation formula to find the interpolate solutions of weakly singular Fredholm integral equations of the second kind.
E. S. Shoukralla +2 more
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On operators induced by weakly 2-singular kernels [PDF]
Czechoslovak Mathematical Journal, 1995 It is shown that a kernel \(K(x,y)= L(x,y)/| x-y|^{1/2}\) for \(x\neq y\) in \([0,1]\) defines a \((q,2)\)-summing operator on \(L_\infty(0,1)\) for any \(q>2\) provided that \(\sup_x| L(x,\cdot)|\in L_{2,1}(0,1)\).
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A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels [PDF]
SIAM Journal on Numerical Analysis, 2003 This paper presents a new hybrid collocation method for solving certain second kind Volterra integral equations with singular kernels. The solution of the equation has a singularity, caused by the singularity in the kernel, and this presents particular challenges for numerical schemes.
Cao, Y. Z., Herdman, Terry L., Xu, Y. H.
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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Approximation Solution of Fuzzy Singular Volterra Integral Equation by Non-Polynomial Spline
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A non-polynomial spline (NPS) is an approximation method that relies on the triangular and polynomial parts, so the method has infinite derivatives of the triangular part of the NPS to compensate for the loss of smoothness inherited by the polynomial. In
Zahraa A. Ibrahim, Nabaa N. Hasan
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On the functional-integral equation of Volterra type with weakly singular kernel [PDF]
Publications de l'Institut Mathematique, 2008 We give sufficient conditions for the existence of Lp-solution of a Volterra functional-integral equation in a Banach space. Our assumptions and proofs are expressed in terms of measures of noncompactness.
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Advances in Difference Equations, 2018 In this paper, a new set of functions called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential equations.
Yanxin Wang, Li Zhu, Zhi Wang
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