A compact finite difference method for solving a class of time fractional convection-subdiffusion equations
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| 003 | CHVBK | ||
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| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10543-014-0532-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0532-y | ||
| 100 | 1 | |a Wang |D Yuan-Ming |u Department of Mathematics, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University, 200241, Shanghai, People's Republic of China |4 aut | |
| 245 | 1 | 2 | |a A compact finite difference method for solving a class of time fractional convection-subdiffusion equations |h [Elektronische Daten] |c [Yuan-Ming Wang] |
| 520 | 3 | |a A high-order compact finite difference method is proposed for solving a class of time fractional convection-subdiffusion equations. The convection coefficient in the equation may be spatially variable, and the time fractional derivative is in the Caputo's sense with the order $$\alpha $$ α ( $$0<\alpha <1$$ 0 < α < 1 ). After a transformation of the original equation, the spatial derivative is discretized by a fourth-order compact finite difference method and the time fractional derivative is approximated by a $$(2-\alpha )$$ ( 2 - α ) -order implicit scheme. The local truncation error and the solvability of the method are discussed in detail. A rigorous theoretical analysis of the stability and convergence is carried out using the discrete energy method, and the optimal error estimates in the discrete $$H^{1}$$ H 1 , $$L^{2}$$ L 2 and $$L^{\infty }$$ L ∞ norms are obtained. Applications using several model problems give numerical results that demonstrate the effectiveness and the accuracy of this new method. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Fractional convection-subdiffusion equation |2 nationallicence | |
| 690 | 7 | |a Variable coefficients |2 nationallicence | |
| 690 | 7 | |a Compact finite difference method |2 nationallicence | |
| 690 | 7 | |a Stability and convergence |2 nationallicence | |
| 690 | 7 | |a Error estimate |2 nationallicence | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 1187-1217 |x 0006-3835 |q 55:4<1187 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0532-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0532-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Wang |D Yuan-Ming |u Department of Mathematics, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University, 200241, Shanghai, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/4(2015-12-01), 1187-1217 |x 0006-3835 |q 55:4<1187 |1 2015 |2 55 |o 10543 | ||
| 986 | |a SWISSBIB |b 605431299 | ||