Results 41 to 50 of about 39,241 (326)
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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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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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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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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Stochastic fractional integro-differential equations with weakly singular kernels: Well-posedness and Euler–Maruyama approximation [PDF]
Discrete and Continuous Dynamical Systems - Series B, 2019 This paper considers the initial value problem of general nonlinear stochastic fractional integro-differential equations with weakly singular kernels.
Xinjie Dai, A. Xiao, W. Bu
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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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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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Multi-Component BEM for the Helmholtz Equation: A Normal Derivative Method
Shock and Vibration, 2012 We describe a multi-component boundary element method for predicting wave energy distributions in a complex built-up system with material properties changing discontinuously at boundaries between sub-components.
H.A.M. Ben Hamdin, G. Tanner
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