Abstract
This chapter introduces the operational matrices for integration as well as differentiation. In such hybrid function domain integration or differentiation, the function to be integrated or differentiated is first expanded in hybrid function domain and then operated upon by some special matrices to achieve the result. These special matrices are the operational matrices for integration and differentiation and these are derived in this chapter. Also, the nature of accumulation of error at each stage of integration-differentiation dual operation is investigated. Four examples are treated to illustrate the operational methods. Three tables and fifteen figures are presented for user friendly clarity.
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Deb, A., Roychoudhury, S., Sarkar, G. (2016). Integration and Differentiation Using HF Domain Operational Matrices. In: Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions. Studies in Systems, Decision and Control, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-26684-8_4
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DOI: https://doi.org/10.1007/978-3-319-26684-8_4
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