Approximate solution of linear ordinary differential equations with variable coefficients

DOI10.1016/j.matcom.2006.09.006zbMath1119.65061OpenAlexW1980577181MaRDI QIDQ2372453

Yanyan Li

Publication date: 27 July 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.09.006

zbMATH Keywords

numerical exampleserror analysisTaylor's expansionvariable coefficientsecond-order linear ODEstransformation to an integral equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (14)

Effect of the gradient on the deflection of functionally graded microcantilever beams with surface stress ⋮ Approximate solution of three-point boundary value problems for second-order ordinary differential equations with variable coefficients ⋮ Approximate solution to an integral equation with fixed singularity for a cruciform crack ⋮ Existence and approximation of solution for a nonlinear second-order three-point boundary value problem ⋮ Polynomial solution of the single degree of freedom system by Taylor matrix method ⋮ A numerical method for solving boundary value problems for fractional differential equations ⋮ Bernstein polynomial basis for numerical solution of boundary value problems ⋮ Symbolic Solution to Magnetohydrodynamic Hiemenz Flow in Porous Media ⋮ A new method for determining the solution of Riccati differential equations ⋮ Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm ⋮ An efficient method for solving systems of linear ordinary and fractional differential equations ⋮ Uniqueness and approximation of solution for fractional Bagley–Torvik equations with variable coefficients ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Continuous approximate solution of ordinary differential equations and their systems
• Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method
• A simple Taylor-series expansion method for a class of second kind integral equations
• Modified method for determining an approximate solution of the Fredholm–Volterra integral equations by Taylor’s expansion
• Efficient solution of differential equations by analytic continuation
• Shooting methods for the Schrodinger equation
• Approximate Solutions of Differential Equations with Deviating Arguments
• An efficient spectral method for ordinary differential equations with rational function coefficients
• Orthogonal polynomial solutions of linear ordinary differential equations
• Analysis of fractional differential equations

This page was built for publication: Approximate solution of linear ordinary differential equations with variable coefficients