New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions
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| Název: | New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions |
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| Autoři: | Mehmet Şenol, Meliha Özlem Erol |
| Zdroj: | Journal of New Theory, Iss 46, Pp 71-88 (2024) Issue: 4671-88 Journal of New Theory |
| Informace o vydavateli: | Gaziosmanpasa University, 2024. |
| Rok vydání: | 2024 |
| Témata: | $(3+1)$-dimensional evolution equation, residual power series method, Matematiksel Yöntemler ve Özel Fonksiyonlar, $\exp(–\phi(\xi))$-expansion method, 0103 physical sciences, QA1-939, modified extended tanh-function method, conformable derivative, 01 natural sciences, Mathematics, Mathematical Methods and Special Functions |
| Popis: | The paper examines the conformable nonlinear evolution equation in $(3+1)$-dimensions. First, basic definitions and characteristics for the conformable derivative are given. Then, the modified extended tanh-function and $\exp(–\phi(\xi))$-expansion techniques are utilized to determine the exact solutions to this problem. The consequences of some of the acquired data's physical 3D and 2D contour surfaces are used to demonstrate the findings, providing insight into how geometric patterns are physically interpreted. These solutions help illustrate how the studied model and other nonlinear representations in physical sciences might be used in real-world scenarios. It is clear that these methods have the capacity to solve a large number of fractional differential equations with beneficial outcomes. |
| Druh dokumentu: | Article |
| Popis souboru: | application/pdf |
| ISSN: | 2149-1402 |
| DOI: | 10.53570/jnt.1420224 |
| Přístupová URL adresa: | https://doaj.org/article/7411725bb717497cad4abc91aaff2707 https://dergipark.org.tr/tr/pub/jnt/issue/83886/1420224 |
| Přístupové číslo: | edsair.doi.dedup.....b51a0e3a744d7315142c990ef76dad12 |
| Databáze: | OpenAIRE |
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