Modified New Iterative Method for Solving Nonlinear Abel Type Integral Equations
نویسنده
چکیده
Abstract: In this article, the approximate analytical solutions of the linear and nonlinear Abel type integral equation are obtained with the help of analytical method of linear and nonlinear problems called the Modified New Iterative Method (MNIM). By choosing initial value, the explicit solution of the integral equation for different examples have been solved which demonstrate the effectiveness, validity, potentiality and reliability of the method in reality. The analytical solutions show that only two iterations are needed to obtain accurate approximate solutions.
منابع مشابه
A new iteration method for solving a class of Hammerstein type integral equations system
In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bou...
متن کاملITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION
In this paper, we propose an iterative procedure based on two dimensionalfuzzy block-pulse functions for solving nonlinear fuzzy Fredholm integralequations of the second kind. The error estimation and numerical stabilityof the proposed method are given in terms of supplementary Lipschitz condition.Finally, illustrative examples are included in order to demonstrate the accuracyand convergence of...
متن کاملA New Iterative Method For Solving Fuzzy Integral Equations
In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are valid.
متن کاملNew iterative method for solving linear Fredholm fuzzy integral equations of the second kind
متن کامل
A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new ...
متن کامل