A numerical method based on hybrid orthonormal Bernstein and improved <scp>block‐pulse</scp> functions for solving Volterra–Fredholm integral equations

DOI10.1002/num.22876OpenAlexW4213308123MaRDI QIDQ6069513

Adel R. Hadhoud, Mohamed A. Ramadan, Heba S. Osheba

Publication date: 16 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22876

zbMATH Keywords

Bernstein polynomialsaccuracyVolterra-Fredholm integral equationimproved block-pulse function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Cites Work

• A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix
• Modification of block pulse functions and their application to solve numerically Volterra integral equation of the first kind
• Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations
• Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via rationalized Haar functions
• Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions
• Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.
• Solving second kind integral equations with hybrid Chebyshev and block-pulse functions
• Numerical solution of integral equations system of the second kind by block-pulse functions
• Operational matrices of Bernstein polynomials and their applications
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