Approximation, integration and differentiation of time functions using a set of orthogonal hybrid functions (HF) and their application to solution of first order differential equations

DOI10.1016/J.AMC.2011.07.058zbMath1466.34025OpenAlexW1967810442MaRDI QIDQ426474

Gautam Sarkar, Amitava Biswas, Anish Deb, Anindita Ganguly

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.058

zbMATH Keywords

differential equationoperational matricesfunction approximationhybrid functions

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Application of orthogonal and other special functions (94A11)

Related Items (1)

Numerical solution of third order linear differential equations using generalized one-shot operational matrices in orthogonal hybrid function domain

Cites Work

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• Block pulse functions, the most fundamental of all piecewise constant basis functions
• The Order of Numerical Methods for Ordinary Differential Equations
• Linearly pulse-width modulated block pulse functions and their application to linear SISO feedback control system identification

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