Higher order curvature information and its application in a modified diagonal Secant method

Higher-order tangent and secant numbers

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A modified secant method for unconstrained minimization

The modified simplest equation method and its application

In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and ...

Higher order generalization and its application

Generalization is a fundamental operation of inductive inference. While rst order syntactic generalization (anti-uniication) is well understood, its various extensions are often needed in applications. This paper discusses syntactic higher order generalization in a higher order language 221]. Based on the application ordering, we prove that least general generalization exists for any two terms ...

A Generalized Higher Order Finite-Difference Time-Domain Method and Its Application in Guided-Wave Problems

In this paper, a (2 4) scheme of the finite-difference time-domain (FDTD) method is proposed, in which the time differential is of the fourth order and the spatial differential using the discrete singular convolution is of order 2 . Compared with the standard FDTD and the scheme of (4, 4), the scheme of (2 4) has much higher accuracy. By choosing a suitable 2, the (2 4) scheme can arrive at the...