ABSTRACT
This chapter starts with a brief review of first order operational matrices in block pulse function (BPF) domain as well as in generalized block pulse function (GBPF) domain. This is followed by illustrative examples of integration of different time functions in both the domains. After integration, first order operational matrices for differentiation are reviewed and related numerical examples are treated. Also, improved versions of first-order operational matrix for integration are presented and their effectiveness are established through numerical examples. Then one-shot operational matrices for repeated integration and differentiation in BPF domain are discussed with eight supporting illustrative examples providing qualitative and quantitative comparisons with relevant tables and graphs to validate the presented theories. Eleven study problems are added in this chapter for explorative readers.
