The computational methods of numerical analysis are growing more and more important in modern-day scientific research. Among the wide variety of numerical algorithms, the pseudo-spectral differentiation technique is gaining increasing popularity. In this paper, we focus on the application of this algorithm in planar domains with an irregular boundary contour. We present a novel approach to differentiate functions on a triangular domain using pseudo-spectral differentiation. We apply this method to a triangular mesh of a planar domain with irregular contour and validate the effectiveness of our approach through numerical experiments.

Fréchet distribution, quartic transmuted family, parameter estimation, simulation.

Received: October 31, 2023; Accepted: December 2, 2023; Published: December 29, 2023

How to cite this article: Randhall Josnille M’Pemba Massaka, Deryl Nathan Bonazébi Yindoula and Benjamin Mampassi, Pseudo-spectral differentiation on a triangle and its application to a triangular mesh for a planar domain with irregular contour, International Journal of Numerical Methods and Applications 24(1) (2024), 1-16. http://dx.doi.org/10.17654/0975045224001

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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