Results 61 to 70 of about 36,781 (141)
To Calculation of Rectangular Plates on Periodic Oscillations
MATEC Web of Conferences, 2018 Geometrically nonlinear mathematical model of the problem of parametric oscillations of a viscoelastic orthotropic plate of variable thickness is developed using the classical Kirchhoff-Love hypothesis.
Abdikarimov Rustamkhan +2 more
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Kuwait Journal of Science, 2016 In this study, a Galerkin-like approach is applied to numerically solve high-orderintegro-differential equations having weakly singular kernel. The method includestaking inner product of a set of monomials with a vector obtained from the equationin ...
Şuayip Yüzbaşı, Murat Karaçayır
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Abstract and Applied Analysis, 2012 The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
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Advances in Mathematical Physics, 2019 We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE). The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the ...
Mohamed R. Ali +2 more
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Mathematical Modelling and Analysis, 2009 We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity.
Marek Kolk, Arvet Pedas
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An improvement of the product integration method for a weakly singular Hammerstein equation
, 2016 We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the discretization scheme from the linear case in order to obtain a nonlinear ...
Grammont, Laurence, Kaboul, Hanane
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Numerical solution of a parabolic equation with a weakly singular positive-type memory term
Electronic Journal of Differential Equations, 1997 We find a numerical solution of an initial and boundary value problem. This problem is a parabolic integro-differential equation whose integral is the convolution product of a positive-definite weakly singular kernel with the time derivative of the ...
Marian Slodicka
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Application of the homotopy perturbation method for weakly singular Volterra integral equations
Journal of New Results in ScienceIn this paper, we study a weakly singular Volterra integral equation of the second kind with the kernel $\displaystyle K(x,t) = \left (\frac{t}{x}\right )^\nu\frac{1}{t}$, for some $\nu >0$ and $x\in[0,X]$.
Ahmet Altürk
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Three models for rectilinear particle motion with the Basset history force
Electronic Journal of Differential Equations, 2015 We consider three model problems that describe rectilinear particle motion in a viscous fluid under the influence of the Basset history force. These problems consist of sedimentation starting from rest, impulsive motion in a quiescent fluid, and ...
Shujing Xu, Ali Nadim
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Journal of Function SpacesIn the present article, an emerging subdivision-based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives,
Zainab Iqbal +4 more
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