- Tytuł:
- A novel hybrid iterative method for applied mathematical models with time-efficiency
- Autorzy:
-
Jamali, Khalid
Solangi, Muhammad Anwar
Qureshi, Sania - Powiązania:
- https://bibliotekanauki.pl/articles/2202025.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
nonlinear equation
computational order
efficiency index
convergence order
Newton’s method
równanie nieliniowe - Opis:
- Non-linear phenomena appear in many fields of engineering and science. Research on numerical methods is continually extending with the improvement of the latest computing tools. In today’s computational field, one requires maximum achievement in a minimum amount of time. Therefore, there is a need to modify the Newton-type method to achieve higher-order convergence to solve non-linear equations. While the modified methods are expected to be higher-order convergent, the minor computational information and the maximum time efficiency are also important factors. We propose a three-step hybrid iterative method having a non-linear nature. Per iteration, the method requires three function evaluations and three first-order derivatives. The method is theoretically proven to be tenth-order convergent. The mathematical results of the proposed strategy to solve models from fluid dynamics, electric field, and real gases demonstrated better performance. In light of error analysis, computational productivity, and CPU times, the proposed method’s performance is compared to the famous Newton and a recently proposed tenth-order method.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 19--29
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł