A Chebyshev spectral method for solving Riemann–Liouville fractional boundary value problems
The authors derive a series of explicit formulas to approximate the Riemann–Liouville derivative and integral of arbitrary order by shifted Chebyshev polynomials. This is then applied to solve boundary value problems involving Riemann–Liouville derivatives.
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| Veröffentlicht in: | Applied mathematics and computation 2014-08, Vol.241, p.140-150 |
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| container_title | Applied mathematics and computation |
| container_volume | 241 |
| creator | Graef, John R. Kong, Lingju Wang, Min |
| description | The authors derive a series of explicit formulas to approximate the Riemann–Liouville derivative and integral of arbitrary order by shifted Chebyshev polynomials. This is then applied to solve boundary value problems involving Riemann–Liouville derivatives. |
| doi_str_mv | 10.1016/j.amc.2014.05.012 |
| format | Article |
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| ispartof | Applied mathematics and computation, 2014-08, Vol.241, p.140-150 |
| issn | 0096-3003 1873-5649 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Approximation Boundary value problems Chebyshev approximation Chebyshev polynomials Collocation method Derivatives Integrals Mathematical analysis Polynomials Riemann–Liouville fractional calculus Spectral methods |
| title | A Chebyshev spectral method for solving Riemann–Liouville fractional boundary value problems |
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