Numerical solution of stiff systems from nonlinear dynamics using single-term Haar wavelet series

DOI10.1007/s11071-007-9248-8zbMath1171.65407OpenAlexW2093438429MaRDI QIDQ840275

S. C. Shiralashetti, N. M. Bujurke, Chandrasekhar Salimath

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-007-9248-8

zbMATH Keywords

nonlinear stiff systemsfluid dynamicsoperational matrixblock-pulse and discrete solutionsGill's methodSTHWS

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for wavelets (65T60) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Uses Software

• TR-BDF2

Cites Work

• Unnamed Item
• A matricial exponentially fitted scheme for the numerical solution of stiff initial-value problems
• Haar wavelet approach to linear stiff systems.
• Solutions of time-varying singular nonlinear sytems by single-term Walsh series
• The numerical solution of systems of linear ordinary differential equations with constant coefficients
• Analysis and implementation of TR-BDF2
• A User’s View of Solving Stiff Ordinary Differential Equations
• Existence, Uniqueness and Behavior of Solutions of a Singular Nonlinear System from Fluid Dynamics
• Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systems
• Determining Initial Values for Stiff Systems of Ordinary Differential Equations
• Analysis of different systems VIA Single-Term Walsh Series Method
• Haar wavelet method for solving lumped and distributed-parameter systems

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