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New Higher Order Iterative Methods for Solving Nonlinear Equations
- Source :
- Volume: 47, Issue: 1 77-91, Hacettepe Journal of Mathematics and Statistics
- Publication Year :
- 2017
- Publisher :
- Hacettepe University, 2017.
-
Abstract
- In this paper, using the system of coupled equations involving an auxiliary function, we introduce some new efficient higher order iterative methods based on modified homotopy perturbation method. We study the convergence analysis and also present various numerical examples to demonstrate the validity and efficiency of our methods.
- Subjects :
- Matematik
0209 industrial biotechnology
Matrix-free methods
Iterative method
Iterative methods,Nonlinear equations,Order of convergence,Auxiliary function,Modified homotopy perturbation method
Relaxation (iterative method)
02 engineering and technology
General Medicine
Auxiliary function
Local convergence
Nonlinear system
020901 industrial engineering & automation
Rate of convergence
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
020201 artificial intelligence & image processing
Mathematics
Equation solving
Subjects
Details
- ISSN :
- 13035010 and 2651477X
- Volume :
- 4
- Database :
- OpenAIRE
- Journal :
- Hacettepe Journal of Mathematics and Statistics
- Accession number :
- edsair.doi.dedup.....45b39f3dc133ee0bd7646d2f8d942670