A new approach for solving Bratu’s problem

• Autorzy: Ghomanjani Fateme , Shateyi Stanford

Identyfikatory

DOI

10.1515/dema-2019-0023

• Języki publikacji: EN

Abstrakty

EN

A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique. In this sequel, the obtained error was shown between the proposed technique, Chebyshev wavelets, and Legendre wavelets. The results display that this technique is accurate.

Słowa kluczowe

EN

Bernstein polynomials; Bernstein series; numerical solution; Bezier method

PL

wielomiany Bernsteina; szeregi Bernsteina; rozwiązanie numeryczne; metoda Béziera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 336--346
• Opis fizyczny: Bibliogr. 36 poz., tab., wykr.

Twórcy

autor

Ghomanjani Fateme

• Department of Mathematics, Kashmar Higher Education Institute, Kashmar, Iran

autor

Shateyi Stanford

• Department of Mathematics, University of Venda, P Bag X5050, Thohoyandou 0950, South Africa

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).