Zobrazeno 1 - 10
of 8 505
pro vyhledávání: '"Homotopy Analysis Method"'
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 4, Pp 1069-1105 (2024)
A class of linear and nonlinear fractional differential equations (FDEs) in the Caputo sense is considered and studied through two novel techniques called the Homotopy analysis method (HAM). A reliable approach is proposed for solving fractional orde
Externí odkaz:
https://doaj.org/article/4137001ae4d3484889a24ce559c11777
A Semi Analytical Study on Non-Linear Boundary Value Problem for MHD Fluid Flow with Chemical Effect
Publikováno v:
Journal of Heat and Mass Transfer Research, Vol 11, Iss 2, Pp 237-254 (2024)
The Runge-Kutta method combined with the shooting technique is used to solve the numerical results of the theoretical model for the electrically conducting micropolar fluid through two parallel plates in the presence of a heat source or sink and firs
Externí odkaz:
https://doaj.org/article/ff956065df6e49e187c14c6942d17795
Publikováno v:
AIMS Mathematics, Vol 9, Iss 12, Pp 33442-33466 (2024)
This paper presents an innovative approach to solve $ \mathit{q} $-fractional partial differential equations through a combination of two semi-analytical techniques: The Residual Power Series Method (RPSM) and the Homotopy Analysis Method (HAM). Both
Externí odkaz:
https://doaj.org/article/fe867cd69acb4629aba398aa701ca19b
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 32757-32781 (2024)
This paper presents a comprehensive study of the (2+1) time-fractional nonlinear generalized biological population model (TFNBPM) using the $ J $-transform combined with the optimal homotopy analysis method, a robust semi-analytical technique. The pr
Externí odkaz:
https://doaj.org/article/fabd9573cd754fa9897d0dd87c312c7c
Publikováno v:
Journal of Applied Science and Engineering, Vol 28, Iss 7, Pp 1601-1611 (2024)
This paper focuses on providing a semi-analytic approach for the approximate solutions of fuzzy variable-order fractional partial differential equations with Proportional delay, the fractional order derivative will be in the Caputo sense. The solutio
Externí odkaz:
https://doaj.org/article/620d45cbb4834a38b8f9a5fd6844599f
Publikováno v:
Propulsion and Power Research, Vol 13, Iss 3, Pp 416-432 (2024)
Stratified thermal storage promotes energy sustainability by storing excess energy during times of low demand for later use making it possible to integrate renewable energy sources like solar and wind. This communication discusses the significance of
Externí odkaz:
https://doaj.org/article/68147030b8084636a568816c636ca639
Publikováno v:
Case Studies in Thermal Engineering, Vol 64, Iss , Pp 105429- (2024)
Improving heat transfer in thermal systems is critical to achieving better results in a variety of systems. The study aims to investigate the laminar flow dynamics of Al2O3-SiO2-TiO2/water hybrid nanofluids, emphasizing how the channel geometry affec
Externí odkaz:
https://doaj.org/article/ddc613937ed2425cba06398060214200
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100950- (2024)
This manuscript presents enhanced versions of two methods: the natural transform iterative method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness concepts from Fractional Calculus, particularly leveraging the Caputo fractiona
Externí odkaz:
https://doaj.org/article/0a7974c9f5e642739a66e2a625920347
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
In this study, time-fractional coupled Korteweg–de Vries (cKdV) equations are solved using an efficient and reliable numerical technique. The classical cKdV system has been generalized into the time-fractional cKdV system. We employ the local fract
Externí odkaz:
https://doaj.org/article/a08eda9a662046b0883e3d60db7c7c7b
Publikováno v:
World Journal of Engineering, 2023, Vol. 21, Issue 4, pp. 754-766.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/WJE-02-2023-0044