Title :
Higher order approximation for the difference operators in the method of lines
Author :
Pregla, Reinhold
Author_Institution :
Allgemeine & Theor. Elektrotechnik, Fern Univ., Hagen, Germany
fDate :
2/1/1995 12:00:00 AM
Abstract :
In this paper a new general formalism for improving the convergence of the Method of Lines (MoL) is presented. The procedure reduces the discretization error to an order of higher than O(h4 ). The convergence behaviour is demonstrated for a rib waveguide for optical frequencies
Keywords :
approximation theory; convergence of numerical methods; finite difference methods; wave equations; convergence; difference operators; discretization error; higher order approximation; method of lines; rib waveguide; Convergence; Eigenvalues and eigenfunctions; Equations; Frequency; Helium; Hydrogen; Integrated optics; Microwave theory and techniques; Optical waveguides; Transmission line matrix methods;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
