Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Daniela Marian"'
Autor:
Richard Olatokunbo Akinola, Ali Shokri, Joshua Sunday, Daniela Marian, Oyindamola D. Akinlabi
Publikováno v:
Axioms, Vol 13, Iss 3, p 165 (2024)
In this paper, we compare the performances of two Butcher-based block hybrid methods for the numerical integration of initial value problems. We compare the condition numbers of the linear system of equations arising from both methods and the absolut
Externí odkaz:
https://doaj.org/article/deb4c14146954c2fa090850c0370f46e
Autor:
Daniela Inoan, Daniela Marian
Publikováno v:
Axioms, Vol 12, Iss 3, p 279 (2023)
In this paper the semi-Hyers–Ulam–Rassias stability of some Volterra integro-differential equations is investigated, using the Laplace transform. This is a continuation of some previous work on this topic. The equation in the general form contain
Externí odkaz:
https://doaj.org/article/736fd599f2514b0a9fe9b1695ac85429
Publikováno v:
Symmetry, Vol 14, Iss 8, p 1682 (2022)
In this paper, using the construction of the Carleman matrix, we explicitly find a regularized solution of the Cauchy problem for matrix factorizations of the Helmholtz equation in a three-dimensional unbounded domain.
Externí odkaz:
https://doaj.org/article/d57ef4ba3ca24642a0a8282621ea02d6
Publikováno v:
Fractal and Fractional, Vol 6, Iss 7, p 386 (2022)
The second derivative block hybrid method for the continuous integration of differential systems within the interval of integration was derived. The second derivative block hybrid method maintained the stability properties of the Runge–Kutta method
Externí odkaz:
https://doaj.org/article/35eb43b5b6e04047976c273f850dcfcf
Publikováno v:
Fractal and Fractional, Vol 6, Iss 7, p 403 (2022)
In this paper, the Carleman matrix is constructed, and based on it we found explicitly a regularized solution of the Cauchy problem for the matrix factorization of the Helmholtz equation in a multidimensional unbounded domain in Rm,(m=2k,k≥2). The
Externí odkaz:
https://doaj.org/article/02b6c2f19b0448ddbbbd29b92a427283
Publikováno v:
Mathematics, Vol 10, Iss 15, p 2556 (2022)
In this paper, we define and study Hyers–Ulam stability of order 1 for Euler’s equation and Hyers–Ulam stability of order m−1 for the Euler–Poisson equation in the calculus of variations in two special cases, when these equations have the f
Externí odkaz:
https://doaj.org/article/2fb45e6760734dceb53cd6f4acd17654
Publikováno v:
Entropy, Vol 24, Iss 7, p 968 (2022)
In this paper, on the basis of the Carleman matrix, we explicitly construct a regularized solution of the Cauchy problem for the matrix factorization of Helmholtz’s equation in an unbounded two-dimensional domain. The focus of this paper is on regu
Externí odkaz:
https://doaj.org/article/72acd60b0c584cb0b1cd7bdc2fd9dd99
Publikováno v:
Fractal and Fractional, Vol 6, Iss 7, p 358 (2022)
We study, in this paper, the Cauchy problem for matrix factorizations of the Helmholtz equation in the space Rm. Based on the constructed Carleman matrix, we find an explicit form of the approximate solution of this problem and prove the stability of
Externí odkaz:
https://doaj.org/article/50254a30a3db41c98ac75eece261e98f
Publikováno v:
Fractal and Fractional, Vol 6, Iss 6, p 343 (2022)
In this article, a variable step size strategy is adopted in formulating a new variable step hybrid block method (VSHBM) for the solution of the Kepler problem, which is known to be a rigid and stiff differential equation. To derive the VSHBM, the st
Externí odkaz:
https://doaj.org/article/08708b8082944c4884745ca34960a24a
Autor:
Daniela Inoan, Daniela Marian
Publikováno v:
Mathematics, Vol 10, Iss 11, p 1893 (2022)
The Laplace transform method is applied to study the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of the second order. A general equation is formulated first; then, some particular cases for the function from the
Externí odkaz:
https://doaj.org/article/2105c602f0454f648fab68b7a557ae98