| Autor: |
Ibrahim, Basma Abdul Hadi, Khalaf, Nihad Shareef, Yaseen, Samer R. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2024, Vol. 3036 Issue 1, p1-9, 9p |
| Abstrakt: |
The Laplace residual power series (LRPSM) technique is used in the current work to find the accurate solutions of the fractional partial differential equations of the Airy kind. Applying the Caputo operator, the fractional derivative is determined. The first technique we provide combines the residual power series strategy with the Laplace transform instrument. For the purpose of solving time-fractional nonlinear formulas, we provide precise instructions on how to use the proposed approach. Furthermore, we assess the validity and effectiveness of this strategy. The proposed technique's increased accuracy was confirmed by comparing the obtained and accurate responses utilizing 3D plots from the results. It is shown that as the number of items in the combined solution of the issues rises, the correlation among the obtained solutions and the real solutions for every issue converges. Two instances are given to illustrate how the recommended method can be used to resolve distinct types of partial differential equations with fractions of the Airy kind. Graphs make it clear that the process is accurate and straightforward, and that it can thus be further expanded to deal with linear and nonlinear situations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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