[PDF] Top 20 A New Line Search Method to Solve the Nonlinear Systems of Monotone Equations
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A New Line Search Method to Solve the Nonlinear Systems of Monotone Equations
... the line search by Griewank (1986) contains in some special cases certain ...non-monotonous line search method, they suggested a Gauss-Newton based BFGS method to solve ... See full document
7
Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems
... solving nonlinear partial differential equations. The method was used to obtain new solitary wave solutions for two systems of various types of nonlinear partial differential ... See full document
5
An Enhanced Matrix Free Secant Method via Predictor Corrector Modified Line Search Strategies for Solving Systems of Nonlinear Equations
... quasi-Newton method is storing the full matrix of the approximate Jacobian, which can be a very expensive task as the dimension of systems increases ...Armijo-type line search and Wolfe–like ... See full document
7
Discrete monotone method for space fractional nonlinear reaction–diffusion equations
... the monotone method has been extensively employed in the analysis and simulation of nonlinear systems of parabolic differential ...this method has been extended to investigate fractional ... See full document
23
Construction Of A Broyden-Like Method For Nonlinear Systems Of Equations
... Broyden method proposed to solve nonlinear systems of equations and to overcome the deficiencies of the classical Newton ...Broyden-like method is proposed using the weighted ... See full document
8
A New Monotone Iteration Principle in the Theory of Nonlinear Fractional Differential Equations
... certain nonlinear hybrid fractional differential ...Picard’s method, the new method does not give any idea about the rate of convergence of the sequence of successive ...considered ... See full document
14
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... 11. A.S. Bataineh, A.K. Alomari, M.S.M. Noorani and I. Hashim, R. Nazar, Series Solutions of Systems of Nonlinear Fractional Differential Equations, Acta Appl Math. (105), 189-198 (2009). 12. Y. Khan ... See full document
6
Solving nonlinear systems of equations and nonlinear systems of differential equations by the Monte Carlo method using queueing networks and games theory
... In [5] we use a Jackson queueing network (see [10]) to solve some linear systems of equations. A Jackson queueing network is an open network with k nodes such that the inter-arrival time in the node ... See full document
16
Monotone iterative method for nonlinear fractional q difference equations with integral boundary conditions
... q-difference equations have gained considerable popularity and importance due to the fact that they can describe the natural phenomena and the math- ematical model more ...the nonlinear alternative of ... See full document
10
A Non Monotone Trust Region Method with Non Monotone Wolfe Type Line Search Strategy for Unconstrained Optimization
... non-monotone line search technique for Newton’s method in ...region method for the first time. Due to the high efficiency of non-monotone techniques, many authors are interested ... See full document
6
A conjugate gradient algorithm for large scale unconstrained optimization problems and nonlinear equations
... and nonlinear equations, we propose a new three-term conjugate gradient algorithm under the Yuan–Wei–Lu line search ...descent method with the famous conjugate gradient ... See full document
19
A nonmonotone adaptive trust region algorithm for symmetric nonlinear equations
... For nonlinear equations, Griewank [25] first estab- lished a global convergence theorem for quasi-Newton method with a suitable line ...BFGS method is proposed by Li and Fukushima [31] ... See full document
6
A Nonmonotone Line Search Method for Symmetric Nonlinear Equations
... far from a solution [7]. Inexact Newton methods [5,7] represent the basic approach underlying most of the Newton-type large-scale algorithms. At each iteration, the current estimate of the solution is updated by ap- ... See full document
8
An Iterative Method to Solve Nonlinear Equations
... to solve the system represented in figure 1 and the test systems 30 and 118 nodes ...iterative method [10]. The program (M2) corresponds to an iterative method of fourteenth order ...iterative ... See full document
9
Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
... another method to produce a more efficient ...efficient method for solving PDEs and ODEs (ordinary differential equations) with integer or fractional ...variables method is developed and ... See full document
9
Soccer League Competition Algorithm, a New Method for Solving Systems of Nonlinear Equations
... To verify the performance of SLC algorithm, PSO and DE algorithms are applied to solve this system of nonlinear equations. As shown in Table 13, SLC has better convergence accuracy in comparison with ... See full document
10
Numerical methods for nonlinear systems of equations
... Recently, nonlinear systems of equations appear in numerical applications ...Newton's method and quasi-Newton method to solve the nonlinear systems of ...another ... See full document
21
Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... discover new methods faster than existing methods, and all this to facilitate the resolution of this type of equations, especially non-linear ...perturbation method (HPM). This method was ... See full document
14
Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
... the monotone iterative technique combined with the method of upper and lower solutions, we have investigated the existence of extremal solutions for nonlinear fractional differential systems ... See full document
9
Similarity Reduction of Nonlinear Partial Differential Equations
... for nonlinear partial differential equations, which has long been a major concern for both mathematicians and ...to nonlinear differential equation, when they exist, is very important for the ... See full document
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