THERMAL SCIENCE

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Hossein Jafari

,

Haleh Tajadodi

NEW METHOD FOR SOLVING A CLASS OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS

ABSTRACT
In this work we suggest a numerical approach based on the B-spline polynomial to obtain the solution of linear fractional partial differential equations. We find the operational matrix for fractional integration and then we convert the main problem into a system of linear algebraic equations by using this matrix. Examples are provided to show the simplicity of our method.
KEYWORDS
fractional partial differential equations, Linear B-spline function, operational matrix, Caputo derivative
PAPER SUBMITTED: 2017-07-07
PAPER REVISED: 2017-12-15
PAPER ACCEPTED: 2018-01-10
PUBLISHED ONLINE: 2018-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI170707031J
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S277 - S286]
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New method for solving a class of fractional partial differential equations with applications

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