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Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM

Abstract and Applied Analysis, 2013
The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
doaj   +1 more source

Approximate solutions to several classes of Volterra and Fredholm integral equations using the neural network algorithm based on the sine-cosine basis function and extreme learning machine

Frontiers in Computational Neuroscience, 2023
In this study, we investigate a new neural network method to solve Volterra and Fredholm integral equations based on the sine-cosine basis function and extreme learning machine (ELM) algorithm.
Yanfei Lu, Shiqing Zhang, Futian Weng, Hongli Sun   +3 more
doaj   +1 more source

On asymptotically periodic solutions of linear discrete Volterra equations [PDF]

, 2010
We show that a class of linear nonconvolution discrete Volterra equations has asymptotically periodic solutions. We also examine an example for which the calculations can be done explicitly.
Győri, István, Reynolds, David W.
core   +2 more sources

Uniform-graded mesh block method for second kind Volterra integral equations

Computer Assisted Methods in Engineering and Science, 2023
In this paper a block method is developed to use on uniform-graded mesh for the solution of Volterra integral equations of the second kind. This method permits the use of a variable step size when solving Volterra integral equations.
Gamal M. Attia
doaj  

Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, we consider a class of impulsive stochastic Volterra-Levin equations. By establishing a new integral inequality, some sufficient conditions for the existence and global attractivity of periodic solution for impulsive stochastic Volterra ...
dingshi li, Daoyi Xu
doaj   +1 more source

Numerical Solution of Locally Loaded Volterra Integral Equations

Computation
Loaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin, Aleksandr Tynda, Denis Sidorov, Aliona Dreglea   +3 more
doaj   +1 more source

Solvability of a Volterra–Stieltjes integral equation in the class of functions having limits at infinity

Electronic Journal of Qualitative Theory of Differential Equations, 2017
The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

$A$-stable methods of high order for Volterra integral equations [PDF]

, 1975
summary:Method for numerical solution of Volterra integral equations, based on the O.I.M. methods, is suggested. It is known that the class of O.I.M. methods includes $A$-stable methods of arbitrary high order of asymptotic accuracy.
Malina, Ľubor
core   +1 more source

Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
doaj   +3 more sources

Random volterra integral equations

Mathematical and Computer Modelling, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source