Numerical Solving of Nonlinear Equation Using Iterative Algorithms
Mohammed Rasheed, Ahmed Rashid, Taha Rashid, Saad Hussein Abed Hamed, Noghanian Toroghi Manoochehr
Abstract
In the given algorithm, we propose a development to the evaluations of Newton's numerical algorithm. Derivation of the standard method (Newton Raphson method) involves first derivative of the function. It is shown that the number of iterations of the new method is six and determined results support this technique. The results obtained show that the new proposed method is more accurate, easy to use, and efficient than other numerical methods are indicated.
Topics & Concepts
Newton's methodAlgorithmNonlinear systemNumerical analysisIterative methodFunction (biology)Newton's method in optimizationComputer scienceMathematicsApplied mathematicsDerivative (finance)Local convergenceMathematical analysisPhysicsBiologyFinancial economicsEconomicsQuantum mechanicsEvolutionary biologyIterative Methods for Nonlinear EquationsFractional Differential Equations SolutionsAdvanced Optimization Algorithms Research