Computational scheme for a differential difference equation with a large delay in convection term

• Autorzy: Erla Srinivas , Kolloju Phaneendra

Identyfikatory

DOI

10.59441/ijame/168327

• Języki publikacji: EN

Abstrakty

EN

A computational scheme for the solution of layer behaviour differential equation involving a large delay in the derivative term is devised using numerical integration. If the delay is greater than the perturbation parameter, the layer structure of the solution is no longer preserved, and the solution oscillates. A numerical method is devised with the support of a specific kind of mesh in order to reduce the error and regulate the layered structure of the solution with a fitting parameter. The scheme is discussed for convergence. The maximum errors in the solution are tabulated and compared to other methods in the literature to verify the accuracy of the numerical method. Using this specific kind of mesh with and without the fitting parameter, we also studied the layer and oscillatory behavior of the solution with a large delay.

Słowa kluczowe

EN

delay differential equation; layer behavior; large delay; fitting parameter

PL

równanie różniczkowe; całkowanie numeryczne; warstwa graniczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2023
• Tom: Vol. 28, no. 2
• Strony: 34--48
• Opis fizyczny: Bibliogr. 26 poz., tab., wykr.

Twórcy

autor

Erla Srinivas

• Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana, 500007, INDIA

autor

Kolloju Phaneendra

• Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana, 500007, INDIA

Bibliografia

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Uwagi

PL

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