Results 21 to 30 of about 553 (265)
Asymptotics of integrodifferential models with integrable kernels II
International Journal of Mathematics and Mathematical Sciences, 2003 Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
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Discrete collocation method for Volterra type weakly singular integral equations with logarithmic kernels [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 An efficient discrete collocation method for solving Volterra type weakly singular integral equations with logarithmic kernels is investigated. One of features of these equations is that, in general the first erivative of solution behaves like as a ...
P. Mokhtary
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Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid [PDF]
E3S Web of Conferences, 2023 The effect of non-stationary external forces on the vibration of pipelines made of composite materials is investigated in the paper. A mathematical model of composite pipeline vibration is developed, considering the viscosity properties of the structure ...
Verlan A.A. +4 more
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Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels
Journal of Applied Mathematics, 2005 We study the numerical solvability of a class of nonlinear weakly singular integral equations of Volterra-Hammerstein type with noncompact kernels. We obtain existence and uniqueness results and analyze the product integration methods for these equations
M. Hadizadeh, M. Mohamadsohi
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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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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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Mathematical Modelling and AnalysisFor Volterra integro-differential equations (VIDEs) with weakly singular kernels, their solutions are singular at the initial time. This property brings a great challenge to traditional numerical methods. Here, we investigate the numerical approximation
ZhiPeng Liu, DongYa Tao, Chao Zhang
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Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
مجلة بغداد للعلومThere is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations.
Muna M. Mustafa, Heba A. Abd-Alrazak
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Nonlinear impulsive differential and integral inequalities with nonlocal jump conditions
Journal of Inequalities and Applications, 2018 Some new nonlinear impulsive differential and integral inequalities with nonlocal integral jump conditions are presented in this paper. Using the method of mathematical induction, we obtain a new upper bound estimation of certain differential and ...
Zhaowen Zheng, Yingjie Zhang, Jing Shao
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RBFs for Integral Equations with a Weakly Singular Kernel [PDF]
American Journal of Applied Mathematics, 2015 In this paper a numerical method, based on collocation method and radial basis functions (RBF) is proposed for solving integral equations with a weakly singular kernel. Integrals appeared in the procedure of the solution are approximated by adaptive Lobatto quadrature rule.
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