The purpose of this paper is to present a new and efficient computational method based on the hybrid of block鈥恜ulse functions and shifted Legendre polynomials together with their exact operational vector of in
In this work, we aim to present a hybrid numerical scheme based on the homotopy analysis transform method (HATM) to examine the fractional model of nonlinear wave-like equations having variable coefficients, which narrate the evolution of stochastic syst
A Nonmonotone Hybrid Method for Nonlinear Systems - GASPARO - 2000 () Citation Context ...along a set of linearly independent vectors, which can be identified, for instance, with the set of coordinate directions. Hybrid schemes with similar motivation has been considered, for instance, in =-=...
Numerical examples are given in order to compare the performance of the hybrid of the EM and NG methods. Empirical results show that the proposed method is an efficient approach for solving systems of nonlinear equations.doi:10.1007/s10852-009-9117-1F. Toutounian...
A new method for solving nonlinear simultaneous equations - Incerti, Parisi, et al. - 1979 () Citation Context ...ses these curves are created by solving ordinary differential equations of first, or second order. Various papers describe the use of second order differential equations to create ...
Moreover, a new fractional derivative matrix for the extended Chebyshev cardinal wavelets is extracted. The hybrid technique To solve the system introduced in (1.1)–(1.3) using a hybrid method based on the Chebyshev cardinal functions and extended Chebyshev cardinal wavelets, we first assume that...
In the conventional ISPH method for simulating free-surface flows, the pressure-projection phase, which solves the pressure Poisson's equation (PPE), is the most time-consuming. In this paper, we propose a novel hybrid method by combining the graph neural network (GNN) with the ISPH for ...
We propose a semismooth Newton-type method for nonsmooth optimal control problems. Its particular feature is the combination of a quasi-Newton method with
of Jacobian J(w), we present that the new Levenberg–Marquardt method has at least superlinear convergence when δ∈ (0,1) and quadratic convergence when δ∈ [1,2], respectively, which indicates that our new Levenberg–Marquardt method is performed for the systems of nonlinear equations. Also...
In the hybrid method, when applying blending to Newton iterations without using local refinement, hybrid iterations show much faster convergences than pure Picard iterations. The nonlinear Grad–Shafranov equation and the hybrid scheme with blending are introduced in Section 2. The mapping of the ...