In the last few years, considerable efforts have been expended in formulating accurate and efficient methods to solve these equations. In this research, the variational iteration method is used for solving an i
GAOR methodGSOR methodConvergence propertiesThe nonlinear complementarity problems (NCPs) frequently arise in various fields, including engineering, management science, operations research, and scientific computing. This paper introduces a generalized accelerated overrelaxation method, in which one case reduces...
contrast spatial structurefemtosecond laser pulsefiniteヾifference schemeNeumann problem solvabilitynumerical methodoptical bistabilitydoi:10.1002/cmm4.1092Vyacheslav TrofimovMaria LoginovaVladimir EgorenkovJohn Wiley & Sons, LtdComputational and Mathematical Methods...
A subgradient method based dual decomposition distributed algorithm is presented. The algorithm requires the objective function to be convex. But traditional subgradient methods suffer from step curse and require that the objective function is strict convex. Different from subgradient approaches, some new ...
Methods to deal with these problems are called the variational method (He, 1997, 1998). In 1687, Newton proposed the least resistance problem of a rotating body, i.e., to choose an appropriate function of y(x), such that (6.1)J=min∫x1x2y(x)y′2(x)1+y′2(x)ⅆx. The ...
Thereduce()method will reduce an array to a single value. This is seen commonly with numbers, such as finding the sum of all the numbers in an array. letnumbers=[42,23,16,15,4,8];// Get the sum of all numerical valuesletsum=numbers.reduce((a,b)=>{returna+b;});sum; ...
A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations. He's variational iteration method is applied. The comparison of these methods is presented.doi:10.1155/2012/434976...
In this paper we prove abstract fixed point results in ordered Banach spaces based on the sub鈥搒upersolution method combined with the idea of quasilineari... V Lakshmikantham,S Carl,S. Heikkil - 《Nonlinear Analysis Theory Methods & Applications》 被引量: 9发表: 2009年 Generalized iteratio...
In this paper, the author proposes a new perturbation technique coupling with iteration method, yielding a powerful mathematical tool for an analytical solution of nonlinear equations. The obtained results are valid not only for weakly nonlinear problems but also for strongly nonlinear ones. Furthermore...
To check the accuracy of our methods, we compare numerical solutions with analytic solutions in Section 5. Comparisons between our new mapping technique and the traditional method are shown in Section 6. Our conclusions are given in Section 7....