Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation

The operational matrices of left Caputo fractional derivative, right Caputo fractional derivative, and Riemann–Liouville fractional integral, for shifted Chebyshev polynomials, are presented and derived. We propose an accurate and efficient spectral algorithm for the numerical solution of the two-si...

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Vydané v:	Journal of optimization theory and applications Ročník 174; číslo 1; s. 321 - 341
Hlavní autori:	Bhrawy, Ali H., Zaky, Mahmoud A., Machado, José A. Tenreiro
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.07.2017 Springer Nature B.V
Predmet:	Accuracy Algebra Algorithms Applications of Mathematics Boundary conditions Calculus of Variations and Optimal Control; Optimization Chebyshev approximation Dirichlet problem Engineering Iterative methods Mathematics Mathematics and Statistics Matrices (mathematics) Operations Research/Decision Theory Optimization Polynomials Simplification Spacetime Theory of Computation Operational matrix Fractional telegraph equation Riesz fractional derivative Fractional Klein–Gordon equation Shifted Chebyshev Tau method
ISSN:	0022-3239, 1573-2878
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