Numerical solution of nonlinear differential equations using computer algebra

DOI10.1080/00207168308803371zbMath0523.65062OpenAlexW2017419780MaRDI QIDQ3673976

Frank R. Jun. Groves

Publication date: 1983

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168308803371

zbMATH Keywords

series solutiontrigonometric seriesDuffing's equationFORMAC computer algebra system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (1)

Combining differential quadrature method with simulation technique to solve non‐linear differential equations

Uses Software

• FORMAC

Cites Work

• Asymptotic representation of the cycle of Van der Pol's equation for small damping coefficients
• A Program for the Automatic Integration of Differential Equations using the Method of Taylor Series
• A Two-Point Series Method for Two-Point Boundary Value Problems: Theoretical Foundation
• On the Construction of Poincaré–Lindstedt Solutions: The Nonlinear Oscillator Equation
• Experience with FORMAC algorithm design
• Poincare's continuation by computers.
• The main problem of artificial satellite theory for small and moderate eccentricities
• Applications of symbol manipulation in theoretical physics
• The automatic solution of systems of ordinary differential equations by the method of Taylor series
• A review of algebraic manipulative programs and their application
• A Bifurcation Problem for a Fourth Order Nonlinear Ordinary Differential Equation

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