Zobrazeno 1 - 10
of 6 327
pro vyhledávání: '"Adomian Decomposition Method"'
Autor:
Abdul Hamid Ganie, N. S. Alharthi, Adnan Khan, Abdulkafi Mohammed Saeed, Mohd Asif Shah, Saurav Mallik
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract In general, integer order differential equations fall short of adequately describing a range of phenomena in many disciplines of science and engineering when compared to fractional order differential equations. In the context of the Caputo f
Externí odkaz:
https://doaj.org/article/302fbc191cd14d57bae02d9f9ad15618
Autor:
Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami, Asrar Saleh Alsulami, Saleh S. Redhwan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30548-30571 (2024)
The present study introduced modifications to the standard Adomian decomposition method (ADM) by combining the Taylor series with orthogonal polynomials, such as Legendre polynomials and the first and second kinds of Chebyshev polynomials. These impr
Externí odkaz:
https://doaj.org/article/1fa076d3dd434db194bab6134d14fca8
Publikováno v:
BMC Research Notes, Vol 17, Iss 1, Pp 1-20 (2024)
Abstract Nonlinear time-fractional partial differential equations (NTFPDEs) play a great role in the mathematical modeling of real-world phenomena like traffic models, the design of earthquakes, fractional stochastic systems, diffusion processes, and
Externí odkaz:
https://doaj.org/article/b5239bf42d6640a8b1c1ce4945c63dca
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
Autor:
Ayari, M. Iadh, Thabet, Sabri T.M.
Publikováno v:
Arab Journal of Mathematical Sciences, 2023, Vol. 30, Issue 2, pp. 197-217.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AJMS-06-2022-0147
Autor:
Zhang, Yufeng, Wang, Lizhen
Publikováno v:
Engineering Computations, 2024, Vol. 41, Issue 4, pp. 793-818.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/EC-06-2023-0275
Autor:
Alsemiry, Reima Daher, Abo Elkhair, Rabea E., Alarabi, Taghreed H., Alharbi, Sana Abdulkream, Allogmany, Reem, Elsaid, Essam M.
Publikováno v:
International Journal of Numerical Methods for Heat & Fluid Flow, 2024, Vol. 34, Issue 5, pp. 2119-2145.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/HFF-01-2024-0002
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-20 (2024)
Abstract In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the fractional nonlinear seventh-order Kaup–Kupershmidt (KK) problem. The physical phenomena that a
Externí odkaz:
https://doaj.org/article/f284bab453ca44d8a91ac5136c6fd0d9
Autor:
M. Iadh Ayari, Sabri T.M. Thabet
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 30, Iss 2, Pp 197-217 (2024)
Purpose – This paper aims to study qualitative properties and approximate solutions of a thermostat dynamics system with three-point boundary value conditions involving a nonsingular kernel operator which is called Atangana-Baleanu-Caputo (ABC) der
Externí odkaz:
https://doaj.org/article/5036d86716b945468523c86bd91e8edb
Publikováno v:
Journal of Chemical and Petroleum Engineering, Vol 58, Iss 1, Pp 103-114 (2024)
The Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental e
Externí odkaz:
https://doaj.org/article/469c3f434cf543fda99ab82f96315d77