A rational approximation based on Bernstein polynomials for high order initial and boundary values problems

DOI10.1016/j.amc.2011.04.038zbMath1217.65150OpenAlexW2050322620MaRDI QIDQ548033

Mehmet Sezer, Zekeriya Güney, Osman Rasit Isik

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.038

zbMATH Keywords

collocation methodBernstein polynomialsrational interpolationdifferential equationsapproximate solution

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (18)

Fractional Bernstein operational matrices for solving integro-differential equations involved by Caputo fractional derivative ⋮ An effective approach for numerical solutions of high-order Fredholm integro-differential equations ⋮ Solution of Initial and Boundary Value Problems by an Effective Accurate Method ⋮ Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials ⋮ A new numerical approach method to solve the Lotka-Volterra predator-prey models with discrete delays ⋮ Algorithms for solving linear, non-linear differential and differential-difference equations by approximating the solution to polynomials ⋮ Bernstein series solution of a class of Lane-Emden type equations ⋮ Taylor collocation approach for delayed Lotka-Volterra predator-prey system ⋮ A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations ⋮ A meshless collocation approach with barycentric rational interpolation for two-dimensional hyperbolic telegraph equation ⋮ A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method ⋮ Bernstein series solution of linear second-order partial differential equations with mixed conditions ⋮ Unnamed Item ⋮ 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 ⋮ Evolutionary computational intelligence in solving a class of nonlinear Volterra-Fredholm integro-differential equations ⋮ A rational approximate solution for generalized pantograph-delay differential equations ⋮ Bernstein collocation method for solving nonlinear Fredholm-Volterra integrodifferential equations in the most general form ⋮ 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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• Solution of 10th-order boundary value problems using non-polynomial spline technique
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• Cubic splines method for solving fourth-order obstacle problems
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• Sinc-Galerkin method for solving linear sixth-order boundary-value problems
• A chebyshev collocation method for the solution of linear integro-differential equations
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