Application of two-dimensional Bernstein polynomials for solving mixed Volterra-Fredholm integral equations

DOI10.1007/s13370-014-0283-6zbMath1327.65043OpenAlexW2076847623MaRDI QIDQ897992

N. E. Zubov

Publication date: 8 December 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0283-6

zbMATH Keywords

operational matrixmixed Volterra-Fredholm integral equationstwo-variable Bernstein polynomials

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for integral transforms (65R10) Numerical integration (65D30)

Related Items (17)

Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves ⋮ Some Powerful Techniques for Solving Nonlinear Volterra-Fredholm Integral Equations ⋮ Numerical solution of two dimensional stochastic Volterra-Fredholm integral equations via operational matrix method based on hat functions ⋮ Numerical solutions of 2D Fredholm integral equation of first kind by discretization technique ⋮ Hybrid function method and convergence analysis for two-dimensional nonlinear integral equations ⋮ Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations ⋮ Solving multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type using Bernstein polynomials method ⋮ Bernoulli operational matrix method for the numerical solution of nonlinear two-dimensional Volterra-Fredholm integral equations of Hammerstein type ⋮ Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations ⋮ Unnamed Item ⋮ Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order ⋮ Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation ⋮ A new approach for numerical solution of two-dimensional nonlinear Fredholm integral equations in the most general kind of kernel, based on Bernstein polynomials and its convergence analysis ⋮ Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions ⋮ Numerical solution of stochastic Itô-Volterra integral equations based on Bernstein multi-scaling polynomials ⋮ A new computational method based on Bernstein operational matrices for solving two-dimensional linear stochastic Volterra integral equations ⋮ Hybrid Bernstein Block–Pulse functions for solving system of fractional integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
• On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations
• Homotopy perturbation method for the mixed Volterra-Fredholm integral equations
• Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
• Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
• On some integral inequalities and their applications
• A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation
• A computational method for system of Volterra-Fredholm integral equations
• He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
• A reliable treatment for mixed Volterra-Fredholm integral equations
• A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
• Applications of two-dimensional triangular functions for solving nonlinear class of mixed Volterra-Fredholm integral equations
• Numerical solution of some classes of integral equations using Bernstein polynomials
• An efficient numerical approximation for the linear class of mixed integral equations
• Operational matrices of Bernstein polynomials and their applications
• Two-dimensional Legendre Wavelets Method for the Mixed Volterra-Fredholm Integral Equations

This page was built for publication: Application of two-dimensional Bernstein polynomials for solving mixed Volterra-Fredholm integral equations