An approximate solution of bivariate nonlinear Fredholm integral equations using hybrid block-pulse functions with Chebyshev polynomials

DOI10.1007/s40096-020-00336-7OpenAlexW3036556213MaRDI QIDQ2041158

Yanyan Li

Publication date: 15 July 2021

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

Full work available at URL: https://doi.org/10.1007/s40096-020-00336-7

zbMATH Keywords

convergence analysisChebyshev polynomialsoperational matrices2D nonlinear Fredholm integral equationhybrid block-pulse functions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05)

Cites Work

• Hybrid functions of Bernstein polynomials and block-pulse functions for solving optimal control of the nonlinear Volterra integral equations
• Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions
• Hybrid function method for solving Fredholm and Volterra integral equations of the second kind
• Inequalities for differential and integral equations
• Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations
• Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order
• Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra-Fredholm-Hammerstein integral equations
• Convergence of 2D-orthonormal Bernstein collocation method for solving 2D-mixed Volterra-Fredholm integral equations
• New approach to solve two-dimensional Fredholm integral equations
• Retracted: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials
• Hybrid function method and convergence analysis for two-dimensional nonlinear integral equations
• Computational Methods for Integral Equations
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• The Numerical Solution of Integral Equations of the Second Kind
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
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