Algorithms for numerical solution of the equal width wave equation using multi-quadric quasi-interpolation method-Reference-Cited by-同舟云学术

Algorithms for numerical solution of the equal width wave equation using multi-quadric quasi-interpolation method

Published:2019-11 Issue:11 Volume:30 Page:1950087
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Dhawan Sharanjeet¹,Ak Turgut²,Apaydin Gokhan³

Affiliation:

1. Department of Mathematics, Central University of Haryana, 123031 Haryana, India

2. Department of Food Processing, Armutlu Vocational School, Yalova University, 77500 Yalova, Turkey

3. Department of Electrical and Electronics Engineering, Uskudar University, 34662 Istanbul, Turkey

Abstract

In this paper, we analyze equal width wave equation using multi-quadric quasi-interpolation (MQQI) scheme. The traveling wave solutions called solitary waves: Single solitary wave motion, interaction of two and three solitary waves and evolution of solitons have been investigated computationally. Several comparisons are made to demonstrate the effectiveness of the proposed method. Error norms are used to observe the accuracy and efficiency of this scheme.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183119500876

Reference28 articles.

1. Optical soliton and rogue wave solutions of the ultra-short femto-second pulses in an optical fiber via two different methods and its applications

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