Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Syeda Tehmina Ejaz"'
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 154-164 (2024)
In this paper, we present two collocation methods utilizing subdivision schemes and Bernstein polynomials as their basis functions to solve Caputo-type fractional differential equations. These methods transform fractional differential equations into
Externí odkaz:
https://doaj.org/article/075894d7ab7646fba71ef185f7f87539
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract This paper presents a subdivision collocation algorithm for numerically solving the heat conduction equation with non-uniform thermal diffusivity, considering both initial and boundary conditions. The algorithm involves transforming the diff
Externí odkaz:
https://doaj.org/article/30ae6514d58a47cf8e4a281f85b4f7b4
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-18 (2024)
Abstract The current research presents a novel technique for numerically solving the one-dimensional advection-diffusion equation. This approach utilizes subdivision scheme based collocation method to interpolate the space dimension along with the fi
Externí odkaz:
https://doaj.org/article/3449caeb0f8e4196ad3a6d40f6f47c23
Publikováno v:
AIP Advances, Vol 14, Iss 1, Pp 015221-015221-9 (2024)
This research project introduces a novel computational approach for solving the regularized long wave equation. The proposed method utilizes a subdivision scheme with appropriate basis functions to transform the equation into a system of linear algeb
Externí odkaz:
https://doaj.org/article/f0d2071c5baa4499b6460067dc976ff1
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
Abstract We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinear differential equations with
Externí odkaz:
https://doaj.org/article/83acf44be8bd431cb373e0ef644cce8a
Autor:
Ghulam Mustafa, Dumitru Baleanu, Syeda Tehmina Ejaz, Kaweeta Anjum, Ali Ahmadian, Soheil Salahshour, Massimiliano Ferrara
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 6, Pp 6659-6677 (2020)
In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of
Externí odkaz:
https://doaj.org/article/997bad7048274ac9ba446b6e5f189115
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 7582-7604 (2020)
The ternary refinement schemes are the generalized version of the binary refinement schemes. This class of the schemes produce the smooth curves with the less number of refinement steps as compared to the binary class of schemes. In this paper, we pr
Externí odkaz:
https://doaj.org/article/6fbc061617e44090b4d1deb40cb71773
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-20 (2020)
Abstract A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical result
Externí odkaz:
https://doaj.org/article/11d7a9cc0dc94468ab32d2cc11343816
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
The purpose of this article is to employ the subdivision collocation method to resolve Bratu’s boundary value problem by using approximating subdivision scheme. The main purpose of this researcher is to explore the application of subdivision scheme
Externí odkaz:
https://doaj.org/article/90e61ca2b7474cd8926cf4b69d89389c
Publikováno v:
AIP Advances, Vol 10, Iss 9, Pp 095322-095322-9 (2020)
The subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point interpolating subdivision scheme i
Externí odkaz:
https://doaj.org/article/5ede4629f3034cd98ed7de8197946f69