✦ LIBER ✦

Bernstein polynomials for solving fractional heat- and wave-like equations

✍ Scribed by Davood Rostamy, Kobra Karimi

Book ID: 118015517
Publisher: SP Versita
Year: 2012
Tongue: English
Weight: 550 KB
Volume: 15
Category: Article
ISSN: 1311-0454
DOI: 10.2478/s13540-012-0039-7

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✦ Synopsis

In this paper, a novel numerical analysis is introduced and performed to obtain the numerical solution of the fractional heat-and wave-like equations. A general formulation for the Bernstein fractional derivatives operational matrix is given. In this approach, a truncated Bernstein series together with the Bernstein operational matrix of fractional derivatives are used to reduce the solution of fractional differential problems to the solution of a system of algebraic equations. Numerical examples are considered aiming to demonstrate the validity and applicability of the proposed techniques and to compare with the existing results.

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