A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
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On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the ...
S.N. Askhabov
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General functional-integral Volterra equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
Advances in Difference Equations, 2020 In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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INTEGRATION OF PARTIALLY INTEGRABLE EQUATIONS [PDF]
Waves and Stability in Continuous Media, 2006 12 p, WASCOM XIII (Acireale, 19-25 June 2005)
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Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme [PDF]
, 2012 An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the ...
Bağcı, H +11 more
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Solving a nonhomogeneous integral equation with the variable lower limit
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova +3 more
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Application of DRBEM for 2D sine-Gordon equation
Journal of Taibah University for Science, 2021 This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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