Operational matrix method for solving Riccati differential equation by using hybrid third kind Chebyshev polynomials and block-pulse functions
by Reza Jafari
International Journal of Mathematics in Operational Research (IJMOR), Vol. 19, No. 2, 2021

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.

Online publication date: Tue, 20-Jul-2021

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