Deriving analytical solutions for the fractional burgers-huxley (fbh) equation: the role of the tanh-coth method

• Autorzy: Satty Ali , Hassaballa Abaker A , Salih Mohyaldein , Bashier Mnahil , Gumma Elzain A.E

Identyfikatory

DOI

10.17512/jamcm.2025.1.05

• Języki publikacji: EN

Abstrakty

EN

This paper focuses on the nonlinear Fractional Burgers-Huxley (FBH) equation in space-time, using the conformable fractional derivative (CFD) method. The paper aims to investigate the application of the Tanh-Coth method in order to find exact solutions to the FBH equation. Various exact analytical solutions for the FBH equation are obtained. Graphical representations are included to show the physical properties of the obtained solutions. The results reveal that the Tanh-Coth method is effective and dependable for finding exact solutions to the nonlinear FBH equation.

Słowa kluczowe

EN

fractional Burgers-Huxley (FBH) equation; Tanh-Coth method; nonlinear partial differential eguations; conformable fractional derivative (CFD)

PL

ułamkowe równanie Burgersa-Huxleya (FBH); metoda Tanha-Cotha; nieliniowe równania różniczkowe cząstkowe; zgodna pochodna ułamkowa (CFD)

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2025
• Tom: Vol. 24, nr 1
• Strony: 56--68
• Opis fizyczny: Bibliogr. 26 poz., rys.

Twórcy

autor

Satty Ali

• Department of Mathematics, College of Science, Northern Border University, Arar, Saud Arabia

autor

Hassaballa Abaker A

• Department of Mathematics, College of Science, Northern Border University, Arar, Saud Arabia

autor

Salih Mohyaldein

• Department of Mathematics, College of Science, Northern Border University, Arar, Saud Arabia

autor

Bashier Mnahil

• Department of Mathematics, College of Science, Northern Border University, Arar, Saud Arabia

autor

Gumma Elzain A.E

• Department of Mathematics, College of Science, Northern Border University, Arar, Saud Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).