Solutions of 2nd-order linear differential equations subject to Dirichlet boundary conditions in a Bernstein polynomial basis

DOI10.1016/j.joems.2013.07.007zbMath1306.65233OpenAlexW2024636330MaRDI QIDQ458916

J. Herrera, D. Rodríguez-Gómez

Publication date: 8 October 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.07.007

zbMATH Keywords

Galerkin methodBernstein polynomialboundary value problems for nonlinear first-order differential equationsboundary value problems for ordinary differential equationFourier series in special orthogonal functionsinitial boundary value problems for second-order parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Numerical solutions of high-order differential equations with polynomial coefficients using a Bernstein polynomial basis ⋮ Solving systems of high-order linear differential-difference equations via Euler matrix method ⋮ Numerical solutions of Korteweg-de Vries and Korteweg-de Vries-Burger's equations in a Bernstein polynomial basis ⋮ An algorithm of the boundary value problem based on multiscale orthogonal compact base

Uses Software

• Mathematica

Cites Work

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