Examples of the investigation of differential equations with modularized programs

DOI10.1016/S0895-7177(97)00064-2zbMath0881.34001OpenAlexW1968612632MaRDI QIDQ1368550

Bernhard Rupp

Publication date: 13 January 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(97)00064-2

zbMATH Keywords

conservation lawdifferential equationsoverdetermined systemcomputer algebraLie symmetry analysisquasi-linear equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Explicit solutions, first integrals of ordinary differential equations (34A05) PDEs in connection with relativity and gravitational theory (35Q75) Solutions to PDEs in closed form (35C05) Overdetermined systems of PDEs with variable coefficients (35N10) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

Fuchs’ solution of Painlevé VI equation by means of Jacobi’s last multiplier, Review of symbolic software for Lie symmetry analysis, Structural equations for Killing tensors of arbitrary rank, CRACK, On the Jacobi last multiplier, integrating factors and the Lagrangian formulation of differential equations of the Painlevé-Gambier classification, Computer algebra solving second order ODEs using symmetry methods, Integrating factors for second-order ODEs

Uses Software

• REDUCE
• LIEPDE
• ApplySym

Cites Work

• An algorithm for solving second order linear homogeneous differential equations
• On Liouvillian solutions of linear differential equations
• Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations
• Gauge theory for extended elementary objects
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