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An efficient algorithm for solving system of nonlinear equations
System of Non-Linear Equations Convergence Conditions of Adomian Decomposition Method
2010/9/20
In this paper, the accounting of the answers of a system of nonlinear equations is considered and a new algorithm based on the method of Adomian decomposition convergence basis for solving functional ...
An iterative method with fifth-order convergence for nonlinear equations
Analysis convergence Decomposition methods
2010/9/15
In this paper, we suggest and analyze a new four-step iterative method for solving nonlinear equations involving only first derivative of the function using a new decomposition technique which is due ...
On systems of fuzzy nonlinear equations
Newton’s method Fixed point iteration Fuzzy system of nonlinear equations
2010/9/10
In this paper, we suggest and analyze a new two-step iterative method for solving a system of fuzzy nonlinear equations by using the Midpoint quadrature rule. We prove that this method has quadratic c...
Numerical method for solving fuzzy nonlinear equations
Fuzzy nonlinear equations Fixed point iteration Newton’s
2010/9/10
In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Harmonic mean rule. We prove that this method has quadratic convergence. The fuzzy...
An iterative method for solving fuzzy nonlinear equations in Banach spaces
Fuzzy nonlinear equations Fixed point iteration
2010/9/10
In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Trapezoidal quadrature rule. We prove that this method has quadratic convergence. ...
An improved regula falsi method for finding simple zeros of nonlinear equations
Regula falsi method Nonlinear equations Numerical examples
2010/9/10
An improved regula falsi (IRF) method based on classic regula falsi (RF) method is proposed in this paper. The method is verified on a number of test examples and numerical results confirm that the pr...
On systems of fuzzy nonlinear equations
Newton’s method Fixed point iteration Fuzzy system of nonlinear equations
2010/9/13
In this paper, we suggest and analyze a new two-step iterative method for solving a system of fuzzy nonlinear equations by using the Midpoint quadrature rule. We prove that this method has quadratic c...
A new technique for solving systems of nonlinear equations
Systems of non-linear equations Gauss-Seidel method
2010/9/14
The aim of this paper is to construct a new method for solving systems of nonlinear equations. The new method is based on the idea of Gauss-Seidel method, which is a known method for solving systems o...
Iterative Solution of Nonlinear Equations of Hammerstein Type
Accretive operators Uniformly smooth spaces Duality maps
2008/7/1
Iterative Solution of Nonlinear Equations of Hammerstein Type.