Article

Computing

, Volume 92, Issue 2, pp 169-179

Derivative free algorithm for solving nonlinear equations

  • Sanjay Kumar KhattriAffiliated withDepartment of Engineering, Stord Haugesund University College Email author 
  • , Torgrim LogAffiliated withDepartment of Engineering, Stord Haugesund University College

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Abstract

In this work, we develop a simple yet practical algorithm for constructing derivative free iterative methods of higher convergence orders. The algorithm can be easily implemented in software packages for achieving desired convergence orders. Convergence analysis shows that the algorithm can develop methods of various convergence orders which is also supported through the numerical work. Computational results ascertain that the developed algorithm is efficient and demonstrate equal or better performance as compared with other well known methods.

Keywords

Iterative methods Higher order Newton Convergence Algorithm Software Derivative free

Mathematics Subject Classification (2000)

65D99 65H05 65D05 41A25 65Bxx