Fourth order computational spline method for two-parameter singularly perturbed boundary value problem

• Autorzy: Kambampati Satyanarayana , Emineni Siva Prasad , Reddy M. Chenna Krishna , Kolloju Phaneendra

Identyfikatory

DOI

10.59441/ijame/176516

• Języki publikacji: EN

Abstrakty

EN

The current research work considers a two-parameter singularly perturbed two-point boundary value problem. Here, we suggest a computational scheme derived by using an exponential spline for the numerical solution of the problem on a uniform mesh. The proposed numerical scheme is analyzed for convergence and an accuracy of O(h4) is achieved. Numerical experiments are considered to validate the efficiency of the spline method, and compared comparison with the existing method to prove the superiority of the proposed scheme.

Słowa kluczowe

EN

spline; two-parameter singularly perturbed two-point boundary value problem; dual layer; characteristic equation; convergence

PL

analiza błędu; metoda numeryczna; estymacja błędu

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2023
• Tom: Vol. 28, no. 4
• Strony: 79--93
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Kambampati Satyanarayana

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

autor

Emineni Siva Prasad

• Kavikulguru Institute of Technology and Science, Ramtek, Nagpur, Maharashtra, INDIA

autor

Reddy M. Chenna Krishna

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

autor

Kolloju Phaneendra

• Department of Mathematics, University College of Science, Osmania University, Hyderabad, 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)