B-spline method for solving Bratu's problem

Caglar H., Caglar N., ÖZER M., Valaristos A., Anagnostopoulos A. N.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.87, sa.8, ss.1885-1891, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 87 Sayı: 8
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1080/00207160802545882
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1885-1891
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

In this paper, we propose a B-spline method for solving the one-dimensional Bratu's problem. The numerical approximations to the exact solution are computed and then compared with other existing methods. The effectiveness and accuracy of the B-spline method is verified for different values of the parameter, below its critical value, where two solutions occur.