On the solutions of a class of nonlinear ordinary differential equations by the Bessel polynomials

DOI10.1515/JNUM-2012-0003zbMath1238.65078OpenAlexW2073268956MaRDI QIDQ2882549

Niyazi Şahin, Şuayip Yüzbaşı

Publication date: 7 May 2012

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum-2012-0003

zbMATH Keywords

collocation methodnumerical examplesnonlinear differential equationscollocation pointsBessel polynomials and seriesBessel polynomial solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (7)

Numerical solutions of differential equations having cubic nonlinearity using Boole collocation method ⋮ New spectral solutions for high odd-order boundary value problems via generalized Jacobi polynomials ⋮ A new class of polynomial functions equipped with a parameter ⋮ A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval ⋮ Harmonic numbers operational matrix for solving fifth-order two point boundary value problems ⋮ Legendre wavelet solution of high order nonlinear ordinary delay differential equations ⋮ A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition

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