Zobrazeno 1 - 10
of 411
pro vyhledávání: '"IVPs"'
Publikováno v:
Journal of Kufa for Mathematics and Computer, Vol 11, Iss 2 (2024)
The construction of the six-point block methods with extra derivatives for solving directly is presented in this paper. The suggested block methods concurrently approximate the problem's solution at six points and are formulated using the Hermite Int
Externí odkaz:
https://doaj.org/article/71f53a19842d4f2192bff1cc8b7e427e
Autor:
E. J. Onoja, U. W. Sirisena
Publikováno v:
Recent Advances in Natural Sciences, Vol 2, Iss 2 (2024)
This paper aims to evaluate the accuracy and performance of the second derivative block extended trapezoidal rule of the second kind, blended with generalized backward differentiation formulae using variable step sizes, in solving hyperchaotic initia
Externí odkaz:
https://doaj.org/article/31a706a60439456880263f94cb436f8e
Autor:
Theodore E. Simos
Publikováno v:
Mathematics, Vol 12, Iss 23, p 3652 (2024)
The author has just published a theory on first-order differential equations that accounts for the phase-lag and amplification-factor calculations using explicit, implicit, and backward differentiation multistep methods. Eliminating the phase-lag and
Externí odkaz:
https://doaj.org/article/dd230088a88144f689cd96992ba2e3d9
Autor:
Theodore E. Simos
Publikováno v:
Axioms, Vol 13, Iss 9, p 649 (2024)
A theory for the calculation of the phase–lag and amplification–factor for explicit and implicit multistep techniques for first–order differential equations was recently established by the author. His presentation also covered how the approache
Externí odkaz:
https://doaj.org/article/1a585796742e4fd68a71d8dd9c9591bc
Autor:
Theodore E. Simos
Publikováno v:
Axioms, Vol 13, Iss 8, p 514 (2024)
Recently, the author developed a theory for the computation of the phase lag and amplification factor for explicit and implicit multistep methods for first-order differential equations. In this paper, we will investigate the role of the derivatives o
Externí odkaz:
https://doaj.org/article/c0d17ce526cf47558daa7b09d5827f80
Autor:
Theodore E. Simos
Publikováno v:
Symmetry, Vol 16, Iss 5, p 508 (2024)
This research introduces a fresh methodology for creating efficient numerical algorithms to solve first-order Initial Value Problems (IVPs). The study delves into the theoretical foundations of these methods and demonstrates their application to the
Externí odkaz:
https://doaj.org/article/e419143596d9430eb21985395bde8ff8
Publikováno v:
Axioms, Vol 13, Iss 4, p 248 (2024)
The present manuscript proposes a computational approach to efficiently tackle a class of two-point boundary value problems that features third-order nonlinear ordinary differential equations. Specifically, this approach is based upon a combination o
Externí odkaz:
https://doaj.org/article/4a48250bd80749fd892299cb30410745
Autor:
R.K. Mohanty, Bishnu Pada Ghosh
Publikováno v:
MethodsX, Vol 11, Iss , Pp 102308- (2023)
A spline-in-compression method, implicit in nature, for computing numerical solution of second order nonlinear initial-value problems (IVPs) on a mesh not necessarily equidistant is discussed. The proposed estimation has been derived directly from co
Externí odkaz:
https://doaj.org/article/40d9163d496c4cb4a625d079f1fa9d52
The Homotopy Perturbation Method to Solve Initial Value Problems of First Order with Discontinuities
Autor:
Mohammed Ahmed, Waleed Al-Hayani
Publikováno v:
Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 16, Iss 2, Pp 61-70 (2022)
In this work, the homotopy perturbation method (HPM) is used to solve initial valueproblems of first order with various types of discontinuities. The numerical results obtained (arecompared) using the traditional HPM, and the integral equation of the
Externí odkaz:
https://doaj.org/article/e7cbbf3b37134d40a5dc146809d8c776
Autor:
Theodore E. Simos
Publikováno v:
Mathematics, Vol 12, Iss 4, p 504 (2024)
In this research, we provide a novel approach to the development of effective numerical algorithms for the solution of first-order IVPs. In particular, we detail the fundamental theory behind the development of the aforementioned approaches and show
Externí odkaz:
https://doaj.org/article/3bccf2578f8e4ad9befa4d475c70529e