A reliable algorithm for solving tenth-order boundary value problems

Erturk V. S., Momani S.

NUMERICAL ALGORITHMS, cilt.44, sa.2, ss.147-158, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s11075-007-9093-3
  • Dergi Adı: NUMERICAL ALGORITHMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.147-158
  • Anahtar Kelimeler: boundary value problems of tenth-order, linear and non-linear problems, differential transform method, DIFFERENTIAL TRANSFORMATION METHOD, EIGENVALUE PROBLEMS, SPLINE
  • Ondokuz Mayıs Üniversitesi Adresli: Hayır

Özet

In this paper we present an efficient numerical algorithm for solving linear and nonlinear boundary value problems with two-point boundary conditions of tenth-order. The differential transform method is applied to construct the numerical solutions. The proposed algorithm avoids the complexity provided by other numerical approaches. Several illustrative examples are given to demonstrate the effectiveness of the present algorithm.