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

Sharanjeet Dhawan (), Turgut Ak and Gokhan Apaydin ()
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Sharanjeet Dhawan: Department of Mathematics, Central University of Haryana, 123031 Haryana, India
Turgut Ak: Department of Food Processing, Armutlu Vocational School, Yalova University, 77500 Yalova, Turkey
Gokhan Apaydin: Department of Electrical and Electronics Engineering, Uskudar University, 34662 Istanbul, Turkey

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 11, 1-17

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.

Keywords: Multi-quadric quasi-interpolation; equal width equation; error analysis; solitary waves (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119500876

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