On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
Srinivasarao Thota, P. Shanmugasundaram
Abstract
OBJECTIVES: This paper proposes three iterative methods of order three, six and seven respectively for solving non-linear equations using the modified homotopy perturbation technique coupled with system of equations. This paper also discusses the analysis of convergence of the proposed iterative methods. RESULTS: Several numerical examples are presented to illustrate and validation of the proposed methods. Implementation of the proposed methods in Maple is discussed with sample computations.
Topics & Concepts
Homotopy perturbation methodHomotopy analysis methodApplied mathematicsMathematicsPerturbation (astronomy)Order (exchange)MedicineHomotopyComputer sciencePhysicsPure mathematicsFinanceEconomicsQuantum mechanicsIterative Methods for Nonlinear EquationsFractional Differential Equations SolutionsMatrix Theory and Algorithms