Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6898985 | Journal of the Egyptian Mathematical Society | 2017 | 9 Pages |
Abstract
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 coefficients in unbounded domain using the collocation method. As an application the introduced method is used to evaluate Dawson's integral by solving its differential equation. The corresponding differential equation to Dawson's integral is a boundary value problem with conditions tends to infinity. The obtained numerical results are compared with the exact solution and showed good accuracy.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Mohamed A. Ramadan, Kamal R. Raslan, Talaat S. El Danaf, Mohamed A. Abd El Salam,