Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Osama Ala'yed"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 4665-4683 (2024)
In the present study, we introduce a collocation approach utilizing quintic B-spline functions as bases for solving systems of Lane Emden equations which have various applications in theoretical physics and astrophysics. The method derives a solution
Externí odkaz:
https://doaj.org/article/5d3af57111d447b4a936654e13659b2d
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 19950-19970 (2023)
This study presents a new and attractive analytical approach to treat systems with fractional multi-pantograph equations. We introduce the solution as a rapidly-converging series using the Laplace residual power series technique. This method controls
Externí odkaz:
https://doaj.org/article/a0568e3d5be34e518258238f44a7bd11
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 14747-14766 (2023)
In this study, we develop a collocation method based on cubic B-spline functions for effectively solving the system of Lane-Emden type equations arising in physics, star structure, and astrophysics. To overcome the singularity behavior of the conside
Externí odkaz:
https://doaj.org/article/493da2dc2a264f989fd32e1be2b70425
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 9576-9584 (2023)
The quadratic Riccati equations are first-order nonlinear differential equations with numerous applications in various applied science and engineering areas. Therefore, several numerical approaches have been derived to find their numerical solutions.
Externí odkaz:
https://doaj.org/article/c083b08f986443e3b089f4cb2317786c
Publikováno v:
Fractal and Fractional, Vol 6, Iss 12, p 694 (2022)
In this study, we applied the Laplace residual power series method (LRPSM) to expand the solution of the nonlinear time-fractional coupled Hirota–Satsuma and KdV equations in the form of a rapidly convergent series while considering Caputo fraction
Externí odkaz:
https://doaj.org/article/e681c612aca640189893972368667d70
Publikováno v:
Fractal and Fractional, Vol 5, Iss 4, p 235 (2021)
Fractional-order boundary value problems are used to model certain phenomena in chemistry, physics, biology, and engineering. However, some of these models do not meet the existence and uniqueness required in the mainstream of mathematical processes.
Externí odkaz:
https://doaj.org/article/b43910282ce74d8eb7bfd66caa5eff3a
Publikováno v:
From the Internet of Things to the Internet of Ideas: The Role of Artificial Intelligence ISBN: 9783031177453
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1fa83eee779d56f1f1472e9b5a94b28
https://doi.org/10.1007/978-3-031-17746-0_45
https://doi.org/10.1007/978-3-031-17746-0_45
Publikováno v:
Fractal and Fractional, Vol 5, Iss 235, p 235 (2021)
Fractal and Fractional
Volume 5
Issue 4
Fractal and Fractional
Volume 5
Issue 4
Fractional-order boundary value problems are used to model certain phenomena in chemistry, physics, biology, and engineering. However, some of these models do not meet the existence and uniqueness required in the mainstream of mathematical processes.
Publikováno v:
European Journal of Pure and Applied Mathematics. 12:1199-1214
This paper deals with two-step hybrid block method with one generalized off-step points for solving second order initial value problem. In derivation of this method, power series of order nine are interpolated at the first two step points while its s
Publikováno v:
Journal of Interdisciplinary Mathematics. 22:405-413
In this paper, the nonlinear Bratu type equation is numerically solved via quintic B-spline method. It is shown that the proposed technique has fourth order convergence. The efficiency and ...