[PDF] Top 20 Solving some nonlinear equations by successive approximations
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Solving some nonlinear equations by successive approximations
... 1. Introduction. Iterations processes are powerful tools for solving both differen- tial and integral equations in a complete metric space. One of the generalizations of the Picard iterations scheme consists ... See full document
6
Three Step Iterative Method for Solving Nonlinear Equations
... Abstract In this paper, a published algorithm is investigated that proposes a three-step iterative method for solving nonlinear equations. This method is con- sidered to be efficient with third order ... See full document
5
Review on Genetic Algorithm for Solving Nonlinear Equations
... solve nonlinear equations,and combined chaotic search mechanism with particle swarm optimization to obtain the optimal solution in a appropriate search direction , and finally, they established the model of ... See full document
5
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 ...of solving nonlinear ...of solving nonlinear equations. Unlike linear ... See full document
7
Some new two step iterative methods for solving nonlinear equations using Steffensen’s method
... for solving nonlinear ...the nonlinear function can be approximated by a new series which can be obtained by using the trapezoidal rule for approximating the integral in conjunction with the ... See full document
11
Expanding the Tanh Function Method for Solving Nonlinear Equations
... for solving nonlinear ...the nonlinear PDEs using the wave ...constants. Some examples are considered to find their exact solutions such as KdV- Burgers class and Fisher, Boussinesq and ... See full document
9
The modified Kudryashov method for solving some fractional order nonlinear equations
... differential equations of integer order play an important role in describ- ing many nonlinear phenomena such as mathematical biology, electromagnetic theory, fluid mechanics, signal processing, engineering, ... See full document
13
Iterative Methods of Order Four for Solving Nonlinear Equations
... In the section 2 of this paper, we develop an iterative method for solving (1.1) and its convergence criteria is discussed. And also, few variants are derived from this new method in the same section. Several ... See full document
5
Altered Jacobian Newton Iterative Method for Nonlinear Elliptic Problems
... a nonlinear algorithm named Altered Jacobian Newton Iterative Method for solving system nonlinear equations formed from discretization of non- linear elliptic ... See full document
5
A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
... linear equations systems [13]; The nonlinear equations system ...a successive substitution, similar to Gauss-Seidel method of solving linear system of equations, and thereby ... See full document
10
An Efficient Continued Fraction Algorithm for Nonlinear Optimization and Its Computer Implementation
... In this work, we develop a simple yet practical algorithm for solving nonlinear optimization problems by solving nonlinear equations with a good local convergence. The algorithm uses a ... See full document
8
Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory
... for solving nonlinear equations and linear systems of ...a nonlinear equation a service system with one sever and exponential service ( G / M / 1 service system as it is denoted by Kleinrock ... See full document
16
Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
... for solving linear and nonlinear differential and Fredholm- Volterra integral and integro-differential-difference equations [5, 6, 7, 15, 18, ...for solving nonlinear integro ... See full document
12
A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
... for solving one dimensional Fredholm integral equation. The nonlinear system of equations (4) has also a structure that permits us to approximate its solution by a similar successive iterative ... See full document
10
Viscosity approximations methods for \((\psi,\varphi)\)-weakly contractive mappings
... 35. Moudafi, A: Viscosity approximation methods for fixed-points problems. J. Math. Anal. Appl. 241(1), 46-55 (2000) 36. Xu, H-K: Viscosity approximation methods for nonexpansive mappings. J. Math. Anal. Appl. 298(1), ... See full document
12
The exp( j(x)) Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics
... The exp ( −ϕ ξ ( ) ) method is employed to find the exact traveling wave solutions involving para- meters for nonlinear evolution equations. When these parameters are taken to be special values, the ... See full document
13
An approximation method for the solving a class of nonlinear integral equations
... As we know the Chebyshev polynomials are one of the best orthogonal polynomials that have important role particularly in numerical analysis. AChebyshev-matrix method for solving nonlinear integral ... See full document
7
Existence and iterative approximations of nonoscillatory solutions for second order nonlinear neutral delay difference equations
... Now we study the existence of uncountably bounded nonoscillatory solutions for equation (.) with respect to b ∈ R \ {±}, suggest a few Mann iterative approximation schemes with errors for these bounded nonoscillatory ... See full document
16
Study of some iterative methods for solving non-linear equations in one variable
... are constants, ≠ 0. If ( ) constant some other functions such that as trigonometric, logarithmic, exponential etc. then ( ) = 0 is a transcendental equation. In scientific and engineering work, a frequently ... See full document
7
The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... are nonlinear in nature, especially in engineering and applied ...integral equations (VIE‘s) in applied field including bio-mechanics, fluid mechanics, demography and the study of viscoelastic ...these ... See full document
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