A new class of polynomial functions equipped with a parameter

DOI10.1007/s40096-017-0217-1zbMath1384.33010OpenAlexW2592681118WikidataQ59516452 ScholiaQ59516452MaRDI QIDQ1704478

Saeid Abbasbandy

Publication date: 12 March 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-017-0217-1

zbMATH Keywords

collocation methodBessel polynomialsBoubaker polynomialsLucas polynomials

Mathematics Subject Classification ID

Ordinary differential equations of infinite order (34A35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (7)

Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational \(a\)-polynomials ⋮ A new method to numerically solve fractional differential equations using \(a\)-polynomials ⋮ Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomials ⋮ Unnamed Item ⋮ New reproducing kernel Chebyshev wavelets method for solving a fractional telegraph equation ⋮ A new class of polynomial functions for approximate solution of generalized Benjamin-Bona-Mahony-Burgers (gBBMB) equations ⋮ A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition

Cites Work

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• A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations
• A new numerical algorithm for the Abel equation of the second kind
• On the Solution of the Riccati Equation by the Decomposition Method

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