Operational matrix method for solving Riccati differential equation by using hybrid third kind Chebyshev polynomials and block-pulse functions

Reza Jafari

International Journal of Mathematics in Operational Research, 2021, vol. 19, issue 2, 161-179

Abstract: The present operational matrix method reduces the Riccati differential equation to a system of algebraic equations. The algebraic system has been solved numerically by Tau method. Convergence analysis of the present method has been discussed in this article. Meanwhile, a numerical method is presented for solving Riccati differential equation. There has also been introduced the operational matrices of derivative and product based on hybrid third kind Chebyshev polynomials and block-pulse functions. Moreover, numerical examples have been included to demonstrate the validity and applicability of the technique.

Keywords: hybrid functions; Chebyshev polynomials; block-pulse functions; operational matrix of derivative; Riccati differential equation. (search for similar items in EconPapers)
Date: 2021
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