Article

Numerical modeling of the boundary value problem of an ordinary differential equation with a small parameter at the highest derivative by Chebyshev polynomials of the second kind

Chori NormurodovTermez State University, UzbekistanBarno Abdiyevna TursunovaTermez State University, Uzbekistan

Results in Applied Mathematicsjournal2023en

ABI

Abstract

In the present work the application of the spectral method with Chebyshev polynomials of the second kind is considered for solving a boundary value problem of an ordinary differential equation with a small parameter at the highest derivative. Numerical and graphical results illustrate the effectiveness of the applied method for various values of polynomials.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Mathematical functions and polynomials

Identifiers

DOI: 10.1016/j.rinam.2023.100388

Citations and references

Cited by 2 9 references

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