Legendre Polynomials Operational Matrix Method for Solving Fractional Partial Differential Equations with Variable Coefficients
2015 ◽
Vol 2015
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pp. 1-9
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Keyword(s):
A numerical method for solving a class of fractional partial differential equations with variable coefficients based on Legendre polynomials is proposed. A fractional order operational matrix of Legendre polynomials is also derived. The initial equations are transformed into the products of several matrixes by using the operational matrix. A system of linear equations is obtained by dispersing the coefficients and the products of matrixes. Only a small number of Legendre polynomials are needed to acquire a satisfactory result. Results obtained using the scheme presented here show that the numerical method is very effective and convenient for solving fractional partial differential equations with variable coefficients.
2016 ◽
Vol 307
◽
pp. 243-261
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2016 ◽
Vol 40
(7-8)
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pp. 4397-4411
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2014 ◽
Vol 2014
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pp. 1-8
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2016 ◽
Vol 10
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pp. 903-911
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2020 ◽
Vol ahead-of-print
(ahead-of-print)
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2017 ◽
Vol 45
◽
pp. 238-254
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