On the modified Taylor's approximation for the solution of linear and nonlinear equations

DOI10.1016/j.amc.2003.11.043zbMath1062.65072OpenAlexW2048243799MaRDI QIDQ1764719

B. Bulos, Khuri, Suheil A.

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.11.043

zbMATH Keywords

algorithmnumerical examplesquadrature formulaVolterra integral equationintegro-differential equationTaylor expansionMapleComputer Algebra Systemnearly periodic behaviornonlinear perturbed oscillator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical quadrature and cubature formulas (65D32)

Related Items

A mechanical algorithm for solving ordinary differential equation ⋮ An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions ⋮ Application of the modified Taylor approximation

Uses Software

• Maple

Cites Work

• Unnamed Item
• On a new type of mixed interpolation
• On numerical integration of perturbed linear oscillating systems
• Modified Taylor approximation of functions with periodic behaviour