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

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  • Reza Jafari

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.

Suggested Citation

  • Reza Jafari, 2021. "Operational matrix method for solving Riccati differential equation by using hybrid third kind Chebyshev polynomials and block-pulse functions," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 19(2), pages 161-179.
    • Handle: RePEc:ids:ijmore:v:19:y:2021:i:2:p:161-179
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