A reliable algorithm for solving tenth-order boundary value problems

Erturk V. S., Momani S.

NUMERICAL ALGORITHMS, vol.44, no.2, pp.147-158, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 2
  • Publication Date: 2007
  • Doi Number: 10.1007/s11075-007-9093-3
  • Journal Name: NUMERICAL ALGORITHMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.147-158
  • Keywords: boundary value problems of tenth-order, linear and non-linear problems, differential transform method, DIFFERENTIAL TRANSFORMATION METHOD, EIGENVALUE PROBLEMS, SPLINE
  • Ondokuz Mayıs University Affiliated: No

Abstract

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.