Solutions of Benjamin-Bona-Mahony, modified Camassa-Holm and Degasperis Procesi equations using an iterative method

• Autorzy: Kumar Manoj

Identyfikatory

DOI

10.17512/jamcm.2022.3.05

• Języki publikacji: EN

Abstrakty

EN

In the present paper, we solve the non-linear Benjamin-Bona-Mahony, modified Camassa-Holm, and Degasperis-Procesi equations using an iterative method introduced by Daftardar-Gejji and Jafari. Results are compared with those obtained by other iterative methods such as the Adomian decomposition method and homotopy perturbation method. It is observed that the proposed method is computationally inexpensive and yields more accurate solutions than the Adomian decomposition method and the homotopy perturbation method.

Słowa kluczowe

EN

nonlinear Bejamin-Bona-Mahony equation; modified Camassa-Holm equation; modified Degasperis-Procesi equation; Daftardar-Gejji and Jafari method; homotopy perturbation method; Adomian decomposition method

PL

nieliniowe równanie Bejamina-Bony-Mahony'ego; zmodyfikowane równanie Camassy-Holma; zmodyfikowane równanie Degasperisa-Procesiego; metoda Daftardara-Gejji i Jafari; metoda perturbacji homotopii; metoda dekompozycji Adomiana

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 3
• Strony: 59--72
• Opis fizyczny: Bibliogr. 33 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 MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).