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Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations - MaRDI portal

Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations (Q5080948)

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scientific article; zbMATH DE number 7535431

Language	Label	Description	Also known as
English	Application of orthonormal Bernoulli polynomials for approximate solution of some Volterra integral equations	scientific article; zbMATH DE number 7535431

Statements

scholarly article

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publication date

1 June 2022

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full work available at URL

https://arxiv.org/abs/2007.10814

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https://pjm.ppu.edu/sites/default/files/papers/PJM_FEB_2022_ICMC21_162_to_170.pdf

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zbMATH Keywords

Volterra integral equation

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Bernoulli polynomials

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orthonormal polynomials

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.NA

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cs.NA

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A numerical approach for solving a class of fractional optimal control problems via operational matrix Bernoulli polynomials

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A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals

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A note on the Bernoulli and Euler polynomials

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Expansion over a rectangle of real functions in Bernoulli polynomials and applications

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Notes on generalization of the Bernoulli type polynomials

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Some properties of Bernoulli polynomials and their generalizations

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Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials

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Approximation properties of \(q\)-Bernoulli polynomials

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A generalization of the Bernoulli polynomials

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Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method

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Approximate solution of fractional order Lane-Emden type differential equation by orthonormal Bernoulli's polynomials

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Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order

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A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation

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A collocation method based on the Bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation

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Variational iteration method for solving integral equations

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Numerical solution of Abel's integral equation by using Legendre wavelets

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5080948

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