ILinearGradient ILines ILinkFormat IListBox IListBoxes IListColumn IListColumns IListDataFormat IListObject IListObjects IListRow IListRows IMailer IMenu IMenuBar IMenuBars IMenuItem IMenuItems IMenus IModel IModelChanges IModelColumnChange IModelColumnChanges IModelColumnName IModelColumnNames IModelConn...
Since the neutrino current vertex Λiµj(q) is a function of the momentum transfer q, it can be expanded as a linear combination of qµ, γµ and σµνqν to match the current Lorentz structure. Each type can be associated with a γ5 to double the form factors FAij(q2) ...
Then, we use Modified Newton’s method (MNM) to solve non-linear equations, since the PHNT is an implicit scheme. The MNM is given by: U ˜ i + 1 = U ˜ i − J i − 1 F i , where J represents the jacobian matrix of F . The starting values for using MNM for solvi...
According to Thula and Roul [3], the mathematical expression of numerous problems arising in chemical kinetics, astrophysics, catalytic diffusion reactions, celestial mechanics, engineering, and various physical models gives rise to second-order singular boundary value ordinary differential equations (SSBODE...
Keywords: optimized Nyström methods; Lane–Emden–Fowler equations; singular boundary-value problems; analysis of convergence MSC: 65LXX; 65L10; 65L201. Introduction The problem of interest is described by the differential equation 𝑞″(𝑥)+𝜆𝑥𝑞′(𝑥)=𝑘(𝑥,𝑞(𝑥)),0<...
([2,18]). An explicit Runge-Kutta-Nyström method as given in the Equations (2)–(4) is said to have algebraic order k if it holds {𝑦(𝑥0+ℎ)−𝑦1=𝑂(ℎ𝑘+1),𝑦′(𝑥0+ℎ)−𝑦′1=𝑂(ℎ𝑘+1).y(x0+h)−y1=O(hk+1),y′(x0+h)−y′1=...
In contrast, nonlinear feature learning based on stream learning allows the low-dimensional data representation to preserve the local topology of the original data as much as possible, such as locally linear embedding (LLE) [4], multidimensional scaling (MDS) [5] and laplacian eigenmaps (LE) [...
([2,18]). An explicit Runge-Kutta-Nyström method as given in the Equations (2)–(4) is said to have algebraic order k if it holds {𝑦(𝑥0+ℎ)−𝑦1=𝑂(ℎ𝑘+1),𝑦′(𝑥0+ℎ)−𝑦′1=𝑂(ℎ𝑘+1).y(x0+h)−y1=O(hk+1),y′(x0+h)−y′1=...