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New Fourth and Fifth-Order Iterative Methods for Solving Nonlinear Equations
Department of Mathematics, Lahore Leads University, Lahore, Pakistan
Department of Mathematics, Lahore Leads University, Lahore, Pakistan
Department of Mathematics, Lahore Leads University, Lahore, Pakistan
Department of Mathematics, GC University, Lahore, Pakistan
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, China
- 1 Department of Mathematics, Lahore Leads University, Lahore, Pakistan
- 2 Department of Mathematics, Lahore Leads University, Lahore, Pakistan
- 3 Department of Mathematics, Lahore Leads University, Lahore, Pakistan
- 4 Department of Mathematics, GC University, Lahore, Pakistan
- 5 School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, China
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Abstract
In this paper, we establish two new iterative methods of order four and five by using modified homotopy perturbation technique. We also present the convergence analysis of these iterative methods. To assess the validity and performance of these iterative methods, we have applied to solve some nonlinear problems.
KeywordsIterative MethodsHomotopy Perturbation TechniqueOrder of ConvergenceNonlinear Equations
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