Computer implementation of a series solution for constant coefficient ordinary differential equations

DOI10.1016/0898-1221(95)00205-7zbMath0874.65052OpenAlexW1998004993MaRDI QIDQ1361232

C. L.-Y. Wang

Publication date: 9 September 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00205-7

zbMATH Keywords

series solutionMAPLEconstant coefficientTaylor's serieseconomic computer method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (1)

Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series

Uses Software

• Maple

Cites Work

• Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant Coefficients
• Matrices with Specified Eigenvalues and Associated Eigenvectors, Proper or Generalized
• An Explicit Formula for e At
• Note on Proper and Generalized Eigenvectors
• Some Explicit Formulas for the Exponential Matrix e tA
• Indefinite Green's Functions and Elementary Solutions
• Views and Approximations on Differential Equations
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