On Bernstein polynomials method to the system of Abel integral equations

DOI10.1155/2014/796286zbMath1474.65497OpenAlexW2079343237WikidataQ59041568 ScholiaQ59041568MaRDI QIDQ1724995

S. Measoomy Nia, Alireza Khalili Golmankhaneh, Dumitru Baleanu, Ahmad Jafarian

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/796286

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximation by polynomials (41A10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases ⋮ New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations ⋮ Bernstein polynomials method and it’s error analysis for solving nonlinear problems in the calculus of variations: Convergence analysis via residual function

Cites Work

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• Approximate analytical solution for nonlinear system of fractional differential equations by BPS operational matrices
• The Bernstein operational matrices for solving the fractional quadratic Riccati differential equations with the Riemann-Liouville derivative
• Numerical solution of some classes of integral equations using Bernstein polynomials
• Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices
• Approximate solution of abel integral equation
• Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices
• A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
• Operational matrices of Bernstein polynomials and their applications

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