An iterative approach for solving fractional order Cauchy reaction-diffusion equations

• Autorzy: Kumar Manoj

Identyfikatory

DOI

10.17512/jamcm.2023.3.02

• Języki publikacji: EN

Abstrakty

EN

Reaction-diffusion equations are vitally important due to their role in developing sturdy models in various scientific fields. In the present work, we address an algorithm of the Daftardar-Gejji and Jafari method for solving the nonlinear functional equations of the form ψ = f +L(ψ) + N(ψ). Further, we employ this algorithm to solve Caputo derivative-based time-fractional Cauchy reaction-diffusion equations. We obtain solutions in a series form that converges to a closed form. Furthermore, we perform numerical simulations for the various values of the order of fractional derivatives. The computational procedure of the proposed algorithm is not burdensome. However, it is time-efficient and can easily be implemented using a computer algebra system.

Słowa kluczowe

EN

Caputo derivative; Mittag-Leffler function; Cauchy reaction-diffusion; equations; Daftardar-Gejji and Jafari method

PL

pochodna Caputo; funkcja Mittag-Lefflera; dyfuzja; metoda Daftardara-Gejji i Jafari

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 3
• Strony: 19--32
• Opis fizyczny: Bibliogr. 34 poz., rys., tab.

Twórcy

autor

Kumar Manoj

• Department of Mathematics, National Defence Academy Khadakwasla, Pune-411023, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).