An exponential Chebyshev second kind approximation for solving high-order ordinary differential equations in unbounded domains, with application to Dawson's integral

An exponential Chebyshev second kind approximation for solving high-order ordinary differential equations in unbounded domains, with application to Dawson's integral

A new exponential Chebyshev operational matrix of derivatives based on Chebyshev polynomials of second kind (ESC) is investigated. The new operational matrix of derivatives of the ESC functions is derived and introduced for solving high-order linear ordinary differential equations with variable coef...

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Bibliographic Details
Main Authors: Mohamed A. Ramadan, Kamal R. Raslan, Talaat S. El Danaf, Mohamed A. Abd El Salam
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Exponential second kind Chebyshev functions
High-order ordinary differential equations
Collocation method
Dawson's integral
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X16300505

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