Modeling of Optical Waveguides and Devices by Combination of the Method of Lines and Finite Differences of Second Order Accuracy

2006 ◽  
Vol 38 (1-3) ◽  
pp. 3-17 ◽  
Author(s):  
Reinhold Pregla
Keyword(s):  
Finite Differences ◽  
Optical Waveguides ◽  
Method Of Lines ◽  
Second Order ◽  
Order Accuracy ◽  
The Method Of Lines

scholarly journals Efficient Hybrid Block Method For The Numerical Solution Of Second-order Partial Differential Problems via the Method of Lines

2021 ◽  
pp. 26-37
Author(s):  
Olumide O. Olaiya ◽  
Rasaq A. Azeez ◽  
Mark I. Modebei
Keyword(s):  
Power Series ◽  
Method Of Lines ◽  
Second Order ◽  
Basis Functions ◽  
Direct Solution ◽  
Block Method ◽  
Partial Differential ◽  
Integration Schemes ◽  
The Method Of Lines ◽  
Grid Points

This study is therefore aimed at developing classes of efficient numerical integration schemes, for direct solution of second-order Partial Differential Equations (PDEs) with the aid of the method of lines. The power series polynomials were used as basis functions for trial solutions in the derivation of the proposed schemes via collocation and interpolation techniques at some appropriately chosen grid and off-grid points the derivedschemes are consistent, zero-stable and convergent. the proposed methods perform better in terms of accuracy than some existing methods in the literature.

Analysis of S-Bend Optical Waveguides by the Method of Lines

2006 ◽  
Author(s):  
Zainuddin Lambak ◽  
Imran A. Tengku ◽  
Azliza J.M. Adnan ◽  
Ary Syahriar ◽  
Nur Hanani ◽  
...  
Keyword(s):  
Optical Waveguides ◽  
Method Of Lines ◽  
The Method Of Lines

scholarly journals The method of lines analysis of asymmetric optical waveguides

2018 ◽  
Author(s):  
Ary Syahriar ◽  
Nabil Rayhan Syahriar ◽  
Ucu Susanti
Keyword(s):  
Optical Waveguides ◽  
Method Of Lines ◽  
The Method Of Lines
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