Results 171 to 180 of about 148,162,886 (209)
Some of the next articles are maybe not open access.
On a method of noble for second kind Volterra integral equations
BIT, 1979We modify Noble's method by replacing the unknown solution in each interval by repeated quadratic and cubic interpolating polynomials and obtain fourth order convergence with precision three and improved accuracy. We also describe two interesting fourth order self-starting methods based on the above concept which show the superiority of the modified ...
openaire +2 more sources
Stability of Numerical Solutions for Abel–Volterra Integral Equations of the Second Kind
Mediterranean Journal of Mathematics, 2018Motivated by the wide scope of the applications of the weakly singular Volterra integral equations (VIEs) (see, for instance, [\textit{U. J. Choi} and \textit{R. C. MacCamy}, J. Math. Anal. Appl. 139, No. 2, 448--464 (1989; Zbl 0674.45007); \textit{K. Diethelm}, The analysis of fractional differential equations. An application-oriented exposition using
G. Izzo, E. Messina, A. Vecchio
openaire +4 more sources
Superconvergence Results for Volterra-Urysohn Integral Equations of Second Kind
2017In this paper, we consider the Galerkin method to approximate the solution of Volterra-Urysohn integral equations of second kind with a smooth kernel, using piecewise polynomial bases. We show that the exact solution is approximated with the order of convergence \(\mathcal {O}(h^{r})\) for the Galerkin method, whereas the iterated Galerkin solutions ...
Moumita Mandal, Gnaneshwar Nelakanti
openaire +2 more sources
Approximation methods for second kind weakly singular Volterra integral equations
Journal of Computational and Applied Mathematics, 2020The Volterra integral equation with a weakly singular kernel is studied. Projection methods used for solving this equation including the convergence rate are studied. Galerkin and multi-Galerkin methods in the space of piecewise polynomials based on graded meshs are considered. The convergence rates of both methods are developed.
Kapil Kant, Gnaneshwar Nelakanti
openaire +1 more source
On one solution of Volterra integral equations of second kind
AIP Conference Proceedings, 2016A solution of Volterra integral equations of the second kind with separable and difference kernels based on solutions of corresponding equations linking the kernel and resolvent is suggested. On the basis of a discrete functions class, the equations linking the kernel and resolvent are obtained and the methods of their analytical solutions are proposed.
V. Myrhorod, I. Hvozdeva
openaire +1 more source
Journal of Mathematical Sciences, 2022
A numerical solution of the system of linear Volterra-Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given.
Asanov, Avyt, Matanova, Kalyskan
openaire +2 more sources
A numerical solution of the system of linear Volterra-Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given.
Asanov, Avyt, Matanova, Kalyskan
openaire +2 more sources
Mechanical algorithm for solving the second kind of Volterra integral equation
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Solution of a Singular Integral Equation of Volterra Type of the Second Kind
Lobachevskii Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramazanov, M. I. +3 more
openaire +2 more sources
An iterative numerical method for Fredholm–Volterra integral equations of the second kind
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Numerical solution of linear Volterra integral equations system of the second kind
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Tahmasbi, Omid Solaymani Fard
openaire +3 more sources