Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Parviz Darania"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30761-30780 (2024)
In this research, we have elaborated high-rate multistep collocation strategies in order to concern with second-type vanishing delay VIEs. Herein, characteristics of uniqueness, existence, and regularity for both numerical and analytical solutions ha
Externí odkaz:
https://doaj.org/article/094c9133aed04679a2b23cfbbeea4f24
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17414-17429 (2024)
First-kind Volterra integral equations have ill-posed nature in comparison to the second-kind of these equations such that a measure of ill-posedness can be described by V-smoothing of the integral operator. A comprehensive study of the convergence a
Externí odkaz:
https://doaj.org/article/24cb5b191d7640f18e9261ac416cfe60
Autor:
Parviz Darania
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 1 (2024)
In this article, we will introduce the mathematical model of the diffusion process in a swelling medium that has already been modeled. The main purpose of this paper is introducing a new class of group transformations for solving the nonlinear emulsi
Externí odkaz:
https://doaj.org/article/5a4f260ad53045b38313e5a1b75c4c8a
Autor:
Parviz Darania
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 3, Iss 2, Pp 47-65 (2016)
The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method. These methods for approximating the solution in each subinterval are obtain
Externí odkaz:
https://doaj.org/article/ca3dc6eb5896494ba6bc27e9ede41f3f
Autor:
Parviz Darania, Jafar Ahmadi Shali
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 2, Iss 1, Pp 57-69 (2015)
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integra
Externí odkaz:
https://doaj.org/article/b7c97c8a5e8c408a8fe7181d038ef352
Publikováno v:
Acta Mechanica. 233:4441-4466
Autor:
Parviz Darania, Saed Pishbin
Publikováno v:
Boletim da Sociedade Paranaense de Matemática. 40:1-11
The results on the stability of recurrences play an important role in the theory of dynamical systems and computer science in connection to the notions of shadowing and controlled chaos. In this paper, stability properties of high-order multistep col
Autor:
Parviz Darania, Saeed Pishbin
Publikováno v:
Boletim da Sociedade Paranaense de Matemática. 40:1-11
In this note, we study a class of multistep collocation methods for the numerical integration of nonlinear Volterra-Fredholm Integral Equations (V-FIEs). The derived method is characterized by a lower triangular or diagonal coefficient matrix of the
Autor:
Parviz Darania, H. Sadeghi
Publikováno v:
Annals of Nuclear Energy. 148:107693
In this paper, we have presented a mesh-free numerical scheme for solving fractional neutron point kinetics equation. The proposed method uses moving least squares method and fractional calculus to obtain an approximate solution by means of a system
Autor:
Fatemeh Sotoudehmaram, Parviz Darania
Publikováno v:
Journal of Computational and Applied Mathematics. 374:112738
In this paper, we introduce a new class of Multistep Collocation Method (MCM) for solving the non-linear Volterra Functional Integral Equations (VFIEs) including two types of linear and non-linear lag functions. We divide the definition domain into s