Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Bogdan Căruntu"'
Publikováno v:
Mathematics, Vol 10, Iss 4, p 546 (2022)
In this paper, least squares homotopy perturbation is presented as a straightforward and accurate method to compute approximate analytical solutions for systems of ordinary differential equations. The method is employed to solve a problem related to
Externí odkaz:
https://doaj.org/article/9614aab9d3ad4e36b163c358cbc430be
Autor:
Bogdan Căruntu
Publikováno v:
Fractal and Fractional, Vol 5, Iss 4, p 198 (2021)
We employ the Polynomial Least Squares Method as a relatively new and very straightforward and efficient method to find accurate approximate analytical solutions for a class of systems of fractional nonlinear integro-differential equations. A compari
Externí odkaz:
https://doaj.org/article/2a3ad2ff1b8746208d221459bd2e8f25
Autor:
Bogdan Căruntu, Mădălina Sofia Paşca
Publikováno v:
Mathematics, Vol 9, Iss 21, p 2692 (2021)
We apply the polynomial least squares method to obtain approximate analytical solutions for a very general class of nonlinear Fredholm and Volterra integro-differential equations. The method is a relatively simple and straightforward one, but its pre
Externí odkaz:
https://doaj.org/article/99765c6f1be5456e804227fa0939b9d8
Autor:
Bogdan Căruntu, Mădălina Sofia Paşca
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2324 (2021)
We present a relatively new and very efficient method to find approximate analytical solutions for a very general class of nonlinear fractional Volterra and Fredholm integro-differential equations. The test problems included and the comparison with p
Externí odkaz:
https://doaj.org/article/b7d8f165c4354e6998a79eda53fc7500
Publikováno v:
Mathematics, Vol 8, Iss 8, p 1336 (2020)
In this paper a new method called the least squares differential quadrature method (LSDQM) is introduced as a straightforward and efficient method to compute analytical approximate polynomial solutions for nonlinear partial differential equations wit
Externí odkaz:
https://doaj.org/article/3d3e3f45bcda48fbbf5489dd0e0273f5
Publikováno v:
Symmetry, Vol 11, Iss 4, p 479 (2019)
This paper applies the Polynomial Least Squares Method (PLSM) to the case of fractional Lane-Emden differential equations. PLSM offers an analytical approximate polynomial solution in a straightforward way. A comparison with previously obtained resul
Externí odkaz:
https://doaj.org/article/e97bcdbf83474e3692b52a534f2ef2a3
Autor:
Constantin Bota, Bogdan Căruntu
Publikováno v:
Advances in Mathematical Physics, Vol 2015 (2015)
The paper presents a new method, called the Polynomial Least Squares Method (PLSM). PLSM allows us to compute approximate analytical solutions for the Brusselator system, which is a fractional-order system of nonlinear differential equations.
Externí odkaz:
https://doaj.org/article/7687ace420c149808b640067ce92018c
Autor:
Bogdan Căruntu, Constantin Bota
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solut
Externí odkaz:
https://doaj.org/article/344bef7334ef4511b3cce44343277c5f
Autor:
Constantin Bota, Bogdan Căruntu
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy pertu
Externí odkaz:
https://doaj.org/article/08ada57c643e495ca6da295d2b22d0b7
Publikováno v:
Mathematical Problems in Engineering, Vol 2020 (2020)
In this paper, the least squares differential quadrature method for computing approximate analytical solutions for the generalized Bagley–Torvik fractional differential equation is presented. This new method is introduced as a straightforward and a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85f31b2c6c4c49f0030d66c590e6d09e
https://doi.org/10.1155/2020/4806387
https://doi.org/10.1155/2020/4806387