Zobrazeno 1 - 10
of 652
pro vyhledávání: '"volterra integro-differential equations"'
Publikováno v:
Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 121-139 (2024)
In this paper, an operational matrix method based on the Bell polynomials has been presented to find approximate solutions of high-order Volterra integro-differential equations. This method uses a simple computational manner to obtain a quite accepta
Externí odkaz:
https://doaj.org/article/55b6995ff6b244199dc055ece00a5d03
Autor:
Samiha Mouchir, Abdeldjalil Slama
Publikováno v:
Journal of Numerical Analysis and Approximation Theory, Vol 53, Iss 2 (2024)
This paper addresses the convergence analysis of the θ-Euler-Maruyama method for a class of stochastic Volterra integro-differential equations (SVIDEs). At first, we discuss the existence, uniqueness, boundedness and H¨older continuity of the the
Externí odkaz:
https://doaj.org/article/01babb83810b4f1e8399f66b67e65397
Autor:
Dilek Varol, Ayşegül Daşcıoğlu
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 7, Iss 1, Pp 38-45 (2024)
This paper discusses the linear fractional Fredholm-Volterra integro-differential equations (IDEs) considered in the Caputo sense. For this purpose, Laguerre polynomials have been used to construct an approximation method to obtain the solutions of t
Externí odkaz:
https://doaj.org/article/2da659b7c4dd406e8584a016afbc81c3
Publikováno v:
Mathematics and Computational Sciences, Vol 5, Iss 1, Pp 55-64 (2024)
This study proposes a numerical approach for solving Integro-Differential Equations (IDEs) of the Fredholm and Volterra types. The method utilizes a collocation computational approach with fourth-kind shifted Chebyshev polynomials. By employing this
Externí odkaz:
https://doaj.org/article/4e537b15b5b7496eb2f0f37646dbc8c1
Autor:
Ratesh Kumar, Sabiha Bakhtawar
Publikováno v:
International Journal of Mathematical, Engineering and Management Sciences, Vol 8, Iss 4, Pp 787-803 (2023)
The objective of this study is to explore non-dyadic Haar wavelets for higher order integro-differential equations. In this research article, non-dyadic collocation method is introduced by using Haar wavelet for approximating the solution of higher o
Externí odkaz:
https://doaj.org/article/27efdbd29a40431cb33f48558a682858
Autor:
Pramod M Dhakane
Publikováno v:
Ratio Mathematica, Vol 51, Iss 0 (2024)
In this paper, we prove the existence, uniqueness and boundedness of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space. The theory of strongly continuous cosine family, modified version o
Externí odkaz:
https://doaj.org/article/253fcccaad21459abf22103962ed484e
Autor:
Jehad K. Mohammed, Ayad R. Khudair
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100529- (2023)
This article aims to present a new approach based on the operational matrix method for solving integro-differential equations using numerical techniques. In this method, we employ fourth-degree hat functions (FDHFs) to construct operational matrices.
Externí odkaz:
https://doaj.org/article/dba2be22ab9845be9889f3f1d6a48852
Autor:
Faranak Rabiei, Fatin Abd Hamid, Mohammad Mehdi Rashidi, Zeeshan Ali, Kamal Shah, Kamyar Hosseini, Touraj Khodadadi
Publikováno v:
Journal of Applied and Computational Mechanics, Vol 9, Iss 1, Pp 72-82 (2023)
In this research, fourth-order Improved Runge-Kutta method with three stages for solving fuzzy Volterra integro-differential (FVID) equations of the second kind under the concept of generalized Hukuhara differentiability is proposed. The advantage of
Externí odkaz:
https://doaj.org/article/c37145fe9786445dac6740055856b8ed
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