Comparative performance of time spectral methods for solving hyperchaotic finance and cryptocurrency systems

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Authors

Moutsinga, Claude Rodrigue Bambe
Pindza, Edson
Mare, Eben

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Publisher

Elsevier

Abstract

A comparative performance analysis of two spectral methods on the hyperchaotic finance system (HCFS) and the cryptocurrency pricing problem (CPP) is proposed. The first approach uses a differentiation matrix, the second method considers an integration matrix on a single and multiple domains when the time intervals are large. Numerical simulations are performed against the well established numerical method, Chebfun. It turns out that the spectral method using itegration matrix is more efficient than the other methods on both problems.

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Keywords

Hyperchaotic finance system (HCFS), Cryptocurrency pricing problem (CPP), Spectral methods, Chebyshev polynomials, Domain decomposition

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Citation

Moutsinga, C.R.B., Pindza, E. & Maré, E. 2021, 'Comparative performance of time spectral methods for solving hyperchaotic finance and cryptocurrency systems', Chaos, Solitons and Fractals, vol. 145, art. 110770, pp. 1-10, doi : 10.1016/j.chaos.2021.110770.