Applied Science and Computer Mathematics

Sixteenth order iterative method for solving system of quadratic equations

  • By P. Sivakumar, N. Joshna, H. Prathab, M. Sathiragavan
  • Applied Science and Computer Mathematics, 1(1) (2020): 8-14

Abstract

This paper proposes a sixteenth order iterative method for solving system of quadratic equations. This method requires evaluation of only two vector function, two Frechet derivatives and only one inverse of Jacobian evaluation per iteration. The theoretical proof of the proposed method is given. Numerical implementation through some examples and comparison with known methods are presented to verify the applicability of the proposed methods. We apply the new scheme to find solution on 1-D bratu problem. The performance and efficiency of our iteration methods are compared.