An efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations

Autor:	Angel Durán
Rok vydání:	2018
Předmět:	Iterative method Applied Mathematics Numerical analysis Computation 010102 general mathematics Mathematical analysis Extrapolation Limiting 01 natural sciences Computer Science Applications 010101 applied mathematics Acceleration Computational Theory and Mathematics Convergence (routing) 0101 mathematics Mathematics
Zdroj:	International Journal of Computer Mathematics. 95:1362-1374
ISSN:	1029-0265 0020-7160
DOI:	10.1080/00207160.2017.1422732
Popis:	Considered here is an efficient technique to compute approximate profiles of solitary wave solutions of fractional Korteweg–de Vries equations. The numerical method is based on a fixed-point iterative algorithm along with extrapolation techniques of acceleration. This combination improves the performance in both the velocity of convergence and the computation of profiles for limiting values of the fractional parameter. The algorithm is described and numerical experiments of validation are presented. The accuracy attained by the procedure can be used to investigate additional properties of the waves. This approach is illustrated here by analysing the speed–amplitude relation.
Databáze:	OpenAIRE
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