Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Mufutau Ajani Rufai"'
Autor:
Mufutau Ajani Rufai, Bruno Carpentieri
Publikováno v:
Alexandria Engineering Journal, Vol 83, Iss , Pp 355-366 (2023)
This article proposes a variable stepsize implementation of an improved one-step block method (OBM) that uses two intermediate points to solve Burgers' equation. The model's problems under consideration are semi-discretized by reducing them into an e
Externí odkaz:
https://doaj.org/article/51f6cdded0fb4c0b9209d3be13516078
Publikováno v:
Results in Applied Mathematics, Vol 21, Iss , Pp 100417- (2024)
This paper presents and successfully applies an optimized hybrid block technique using a variable stepsize implementation to integrate a type of singularly perturbed parabolic convection–diffusion problems. The problem under consideration is semi-d
Externí odkaz:
https://doaj.org/article/760956006f7949c9bfde445da59ebd92
Publikováno v:
Mathematics, Vol 12, Iss 1, p 51 (2023)
This paper presents an efficient two-step hybrid block method (ETHBM) to obtain an approximate solution to the FitzHugh–Nagumo problem. The considered partial differential equation model problems are semi-discretized, reducing them to equivalent or
Externí odkaz:
https://doaj.org/article/bc5fb37b875f4e22951db542b0fa184f
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
This paper describes a third-derivative hybrid multistep technique (TDHMT) for solving second-order initial-value problems (IVPs) with oscillatory and periodic problems in ordinary differential equations (ODEs), the coefficients of which are independ
Externí odkaz:
https://doaj.org/article/06d909217a2e4a71a992bfbe55309a53
Publikováno v:
Fractal and Fractional, Vol 7, Iss 10, p 703 (2023)
This paper presents a new hybrid block method formulated in variable stepsize mode to solve some first-order initial value problems of ODEs and time-dependent partial differential equations in applied sciences and engineering. The proposed method is
Externí odkaz:
https://doaj.org/article/c1359f5ee19d4069ad9a559b3ab4bd1a
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1720 (2023)
This paper introduces an efficient approach for solving Lane–Emden–Fowler problems. Our method utilizes two Nyström schemes to perform the integration. To overcome the singularity at the left end of the interval, we combine an optimized scheme o
Externí odkaz:
https://doaj.org/article/a4b6e6c05223473e8a71e10d2a6456ae
Autor:
Mufutau Ajani Rufai, Higinio Ramos
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1535 (2023)
This research article introduces an efficient method for integrating Lane–Emden–Fowler equations of second-order singular initial value problems (SIVPs) using a pair of hybrid block methods with a variable step-size mode. The method pairs an opti
Externí odkaz:
https://doaj.org/article/cf77098153c24f80b2af98843d406819
Publikováno v:
Mathematics, Vol 11, Iss 3, p 609 (2023)
We investigate the numerical solution of the nonlinear Schrödinger equation in two spatial dimensions and one temporal dimension. We develop a parametric Runge–Kutta method with four of their coefficients considered as free parameters, and we prov
Externí odkaz:
https://doaj.org/article/6d2dc97dafc243b7bc9e85750c7e306f
Autor:
Mufutau Ajani Rufai
Publikováno v:
Mathematics, Vol 10, Iss 19, p 3692 (2022)
A new one-step hybrid block method with two-point third derivatives is developed to solve the second-order boundary value problems (BVPs). The mathematical derivation of the proposed method is based on the interpolation and collocation methods. The t
Externí odkaz:
https://doaj.org/article/96b0fea0a35f4f1daf4b2701b5271e3b
Autor:
Mufutau Ajani Rufai, Higinio Ramos
Publikováno v:
Axioms, Vol 10, Iss 3, p 202 (2021)
This manuscript presents an efficient pair of hybrid Nyström techniques to solve second-order Lane–Emden singular boundary value problems directly. One of the proposed strategies uses three off-step points. The obtained formulas are paired with an
Externí odkaz:
https://doaj.org/article/2f878b1d913649e4bd37980d9bb115a6