Approximate solution of second kind integral equations on infinite cylindrical surfaces [PDF]
, 1994 The paper considers second kind integral equations of the form (abbreviated)φφK+=g, in which S is an infinite cylindrical surface of arbitrary smooth cross-section.
Peplow, AT, Chandler-Wilde, SN
core +3 more sources
Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]
, 2006 Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
core +1 more source
Degenerate method in mixed nonlinear three dimensions integral equation
Alexandria Engineering Journal, 2019 In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
doaj +1 more source
Solution of a singular integral equation by a split-interval method
, 2007 The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J. +3 more
core +2 more sources
Inverse problem for a Fredholm third order partial integro-differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj +1 more source
On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations
Numerical Mathematics: Theory, Methods and Applications, 2022 Summary: Collocation and Galerkin methods in the discontinuous and globally continuous piecewise polynomial spaces, in short, denoted as DC, CC, DG and CG methods respectively, are employed to solve second-kind Volterra integral equations (VIEs). It is proved that the quadrature DG and CG (QDG and QCG) methods obtained from the DG and CG methods by ...
openaire +3 more sources
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
core +1 more source
The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice [PDF]
, 2005 It is shown that the 2-discrete dimensional Lotka-Volterra lattice, the two dmensional Toda lattice equation and the recent 2-discrete dimensional Toda lattice equation of Santini et al can be obtained from a 2-discrete 2-continuous dimensional Lotka ...
Gilson, C.R. +3 more
core +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 The one-valued solvability of the conjugation problems of parabolic and hyperbolic equations in finite domains was proved by the method of equivalent reduction to Volterra integral equation of the second kind.
Valeriy A Eleev, Alyona H Balkizova
doaj +3 more sources
Approximation Solution of Volterra Integral Equation Using Adomian Decomposition Method [PDF]
Engineering and Technology Journal, 2009 In this paper, Adomian Decomposition method has been used to find the approximationsolution for the linear Volterra integral equation of the second kind.
Khawla A. AL-Zubaidy
doaj +1 more source