Iterative Solution of Nonlinear Equations
On iterative solution of nonlinear functional equations in a metric space
... metric space R, we offer here a constructive proof of the existence of the unique solu- tion of the operator equation Au Pu, where u E R, by considering the iteratlve se-.. quence AUn+.[r] ...
10
A Novel Iterative Method for Nonlinear Equations
... differential equations, alge- braic equations, optimization algorithms and so ...approximate solution of the nonlinear ...Newton iterative method, Secant method and some acceleration ...
5
An Iterative Method to Solve Nonlinear Equations
... The use of partial derivatives in the matrix formulation generates a robust system that requires between 5 and 10 iterations when solving it, regardless of the size of the system. With the formulation used in this ...
9
Inverse Iterative Methods for Solving Nonlinear Equations
... solving nonlinear equations is one of the classical problems which arise in several branches of pure and applied ...that solution formulas do not in general exist, the finding new and efficient ...
6
An iterative method for solving nonlinear functional equations
... An iterative method for solving functional equations has been ...of solution for nonlinear Volterra integral equations is ...integral equations, systems of ordinary differential ...
11
Comparison of Some Iterative Methods of Solving Nonlinear Equations
... on nonlinear equation (x) = 0, it is noted that no or little attention is given to nonlinear ...solving nonlinear equations. Unlike linear equations, most nonlinear ...
7
Iterative Solutions of Nonlinear Integral Equations of Hammerstein Type
... a solution in H ...explicit iterative sequence and prove strong convergence of the sequence to a solution of the generalized Hammerstein type ...
13
Iterative solution of quadratic tensor equations for mutual polarisation
... 5. Conclusions. The conceptual framework for this study was the case of identical highly polarisable and anisotropic molecular chromophore molecules embedded in a regular lattice formed, for example, by a polymer ...
12
POSITIVE DEFINITE SOLUTION OF NONLINEAR MATRIX EQUATIONS
... Qingdao, Shandong, China * Author for Correspondence ABSTRACT In this paper, we study the nonlinear matrix equations(1).First, we obtain the condition for the existence of positive definite solution ...
5
The Solution of Binary Nonlinear Operator Equations with Applications
... of solution systems for some binary nonlinear operator equations are dis- cussed by using cone and partial order theory and monotone iteration theory, and the iterative sequences which con- ...
5
Iterative method for approximate solution of fuzzy integro-differential equations
... a nonlinear fuzzy Fredholm integro-differential equations by using the strongly generalized differentiability ...integro-differential equations in the crisp ...approximate solution for a class ...
8
New Fourth and Fifth Order Iterative Methods for Solving Nonlinear Equations
... new iterative methods of order four and five for the solution of nonlinear equations based on homotopy perturbation ...these iterative methods to solve some nonlinear ...these ...
8
New iterative methods with seventh-order convergence for solving nonlinear equations
... seventh-order iterative methods for the solution of nonlinear equations are ...new iterative methods are developed by using weight function method and using an approx- imation for the ...
7
A NUMERICAL STUDY OF ITERATIVE METHODS FOR LINEARAND NONLINEAR EQUATIONS IN REAL LIFE
... classical iterative methods used for the solution of linear systems (like Gauss–Seidel, SOR, Jacobi, and others) to the solution of systems of nonlinear algebraic and/or transcendental ...
10
Newton Homotopy Solution for Nonlinear Equations Using Maple14
... Many numerical approaches have been suggested to solve nonlinear problems. Some of the methods utilize successive approximation procedure to ensure every step of computing will converge to the desired root and one ...
8
Common fixed point and solution of nonlinear functional equations
... new iterative scheme, containing Mann and Ishikawa iterative schemes, for asymptotically nonexpansive mappings on a 2-uniformly convex hyperbolic space is ...a solution of a system of certain ...
11
Iterative operator-splitting methods for nonlinear differential equations and applications of deposition processes
... [14] M.K. Gobbert and C.A. Ringhofer. An asymptotic analysis for a model of chemical vapor deposition on a microstructured surface. SIAM Journal on Applied Mathematics, 58, 737–752, 1998. [15] M. Holst, R. Kozack, F. ...
25
Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations
... a solution via the method of upper and lower ...an iterative procedure, where the appropriately constructed sequences are convergent to the extreme ...three nonlinear fractional differential ...
16
A Class of Iterative Methods for Solving Nonlinear Equations with Optimal Fourth order Convergence
... Introduction Nonlinear equations plays an important role in science and ...analytic solution is not always ...known iterative method for solving nonlinear ...
7
Three-step iterative methods with eighth-order convergence for solving nonlinear equations
... eighth-order iterative methods for solution of nonlinear equations is ...of nonlinear equations by Hermite interpolation ...
11