Multistage Pseudo-Spectral Method (Method of Collocations) for the Approximate Solution of an Ordinary Differential Equation of the First Order
Abstract
A multistage pseudospectral collocation method based on Chebyshev polynomial expansion for solving first-order ODEs. The approach splits theproblem into two independent subproblems: finding solutions satisfying the differential equation, then applying initial/boundary conditions. Results show 1.5–3 orders of magnitude better accuracy than comparable methods.
Type
Publication
Discrete and Continuous Models and Applied Computational Science
Published in Discrete and Continuous Models and Applied Computational Science, Vol. 30, No. 2, pp. 127–138, 2022.
Co-authored with K.P. Lovetskiy and D.S. Kulyabov (RUDN University). Supported by the RUDN University Strategic Academic Leadership Program.
Hissein Ali Weddeye
Modeling Ingeneer
My research interests include data analysis, probability and statistic, and programmation in python.