Fractional shifted Legendre tau method to solve linear and nonlinear variable-order fractional partial differential equations

DOI10.1007/s40096-020-00351-8zbMath1473.65246OpenAlexW3088462947WikidataQ115374306 ScholiaQ115374306MaRDI QIDQ2041160

Elyas Shivanian, Maliheh Shaban Tameh

Publication date: 15 July 2021

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-020-00351-8

zbMATH Keywords

operational matricesCaputo fractional derivativesfractional-order Legendre functionsKlein-Gordon partial differential equations

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (5)

A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative ⋮ Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs ⋮ Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions ⋮ A numerical treatment based on Bernoulli Tau method for computing the open-loop Nash equilibrium in nonlinear differential games ⋮ Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials

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