A new nonlinear L-stable scheme with constant and adaptive step-size strategy

• Autorzy: Arain Sadia , Qureshi Sania , Shaikh Asif Ali

Identyfikatory

DOI

10.17512/jamcm.2021.4.01

• Języki publikacji: EN

Abstrakty

EN

The present study proposes a new explicit nonlinear scheme that solves stiff and nonlinear initial value problems in ordinary differential equations. One of the promising features of this scheme is its fourth-order convergence with strong stability having an unbounded region. A modern approach for relative stability growth analysis is also presented under order stars conditions. The scheme is also good in dealing with singular and stiff type of models. Comparing numerical experiments using various errors, including maximum absolute global error over the integration interval, absolute error at the endpoint, average error, norm of errors, and the CPU times (seconds), shows better performance. An adaptive step-size approach seems to increase the performance of the proposed scheme. The numerical simulations assure us of L -stability, consistency, order, and rapid convergence.

Słowa kluczowe

EN

stiff systems; singular systems; L-stability; local error; order stars

PL

systemy sztywne; układ singularny; stabilność L; błąd lokalny

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 4
• Strony: 7--18
• Opis fizyczny: Bibliogr. 24 poz., rys., tab.

Twórcy

autor

Arain Sadia

• Basic Sciences and Related Studies, Mehran University of Engineering and Technology. Jamshoro, 76062, Sindh, Pakistan

autor

Qureshi Sania

• Basic Sciences and Related Studies, Mehran University of Engineering and Technology. Jamshoro, 76062, Sindh, Pakistan
• Department of Mathematics, Near East University TRNC, Mersin 10, Turkey

autor

Shaikh Asif Ali

• Basic Sciences and Related Studies, Mehran University of Engineering and Technology. Jamshoro, 76062, Sindh, Pakistan

Bibliografia

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