Translator Disclaimer
March 2021 A new operational matrix of derivative for hybrid third kind Chebyshev polynomials and Block-pulse functions and its applications in solving second-order differential equations
R. Jafari, R. Ezzati, K. Maleknejad
Tbilisi Math. J. 14(1): 163-179 (March 2021). DOI: 10.32513/tmj/19322008113

Abstract

In this paper, first, a numerical method is presented for solving generalized linear and nonlinear second-order two point initial and boundary value problems. The operational matrix of derivative is obtained by introducing hybrid third kind Chebyshev polynomials and Block-pulse functions. The obtained operational matrix is used to reduce the linear or nonlinear equations with their initial or boundary conditions to a system of linear or nonlinear algebraic equations in the unknown expansion coefficients. Finally, the efficiency of the proposed method is indicated by some numerical examples.

Citation

Download Citation

R. Jafari. R. Ezzati. K. Maleknejad. "A new operational matrix of derivative for hybrid third kind Chebyshev polynomials and Block-pulse functions and its applications in solving second-order differential equations." Tbilisi Math. J. 14 (1) 163 - 179, March 2021. https://doi.org/10.32513/tmj/19322008113

Information

Received: 7 June 2020; Accepted: 21 October 2020; Published: March 2021
First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.32513/tmj/19322008113

Subjects:
Primary: 65L99

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

JOURNAL ARTICLE
17 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.14 • No. 1 • March 2021
Back to Top