A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients (English)
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In:
Applied mathematics and computation
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257
; 591-601
;
2015
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ISSN:
- Article (Journal) / Print
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Title:A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients
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Contributors:
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Published in:Applied mathematics and computation ; 257 ; 591-601
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Publisher:
- New search for: Elsevier
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Place of publication:Amsterdam [u.a.]
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Publication date:2015
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ISSN:
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ZDBID:
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DOI:
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Type of media:Article (Journal)
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Type of material:Print
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Language:English
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Keywords:
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Classification:
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Source:
Table of contents – Volume 257
The tables of contents are generated automatically and are based on the data records of the individual contributions available in the index of the TIB portal. The display of the Tables of Contents may therefore be incomplete.
- 1
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Recent advances in fractional differential equationsZhou, Yong et al. | 2015
- 2
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Diffusion process modeling by using fractional-order modelsSierociuk, Dominik / Skovranek, Tomas / Macias, Michal / Podlubny, Igor / Petras, Ivo / Dzielinski, Andrzej / Ziubinski, Pawel et al. | 2014
- 12
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Lattice fractional calculusTarasov, Vasily E. et al. | 2014
- 34
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Generalized convolutionTenreiro Machado, J.A. et al. | 2014
- 40
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Maximum principle for the multi-term time-fractional diffusion equations with the Riemann–Liouville fractional derivativesAl-Refai, Mohammed / Luchko, Yuri et al. | 2015
- 52
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Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equationFeng, L.B. / Zhuang, P. / Liu, F. / Turner, I. et al. | 2015
- 66
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Controllability of fractional damped dynamical systemsBalachandran, K. / Govindaraj, V. / Rivero, M. / Trujillo, J.J. et al. | 2014
- 74
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Computing Hadamard type operators of variable fractional orderAlmeida, Ricardo / Torres, Delfim F.M. et al. | 2014
- 89
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Suppressing chaos in discontinuous systems of fractional order by active controlDanca, Marius-F. / Garrappa, Roberto et al. | 2014
- 103
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Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spacesWang, JinRong / Ibrahim, Ahmed Gamal / Fečkan, Michal et al. | 2014
- 119
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A novel expansion iterative method for solving linear partial differential equations of fractional orderEl-Ajou, Ahmad / Abu Arqub, Omar / Momani, Shaher / Baleanu, Dumitru / Alsaedi, Ahmed et al. | 2015
- 134
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Initial value/boundary value problem for composite fractional relaxation equationMophou, G. / Tao, S. / Joseph, C. et al. | 2014
- 145
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Fractional Cauchy problems with almost sectorial operatorsZhang, Lu / Zhou, Yong et al. | 2014
- 158
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Weighted pseudo almost automorphic solutions to a semilinear fractional differential equation with Stepanov-like weighted pseudo almost automorphic nonlinear termChang, Yong-Kui / Zhang, Mei-Juan / Ponce, Rodrigo et al. | 2014
- 169
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Existence and uniqueness of an attractive nonlinear diffusion systemIbrahim, Rabha W. / Jahangiri, Jay M. et al. | 2014
- 178
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Existence and controllability for fractional evolution inclusions of Clarke’s subdifferential typeLiu, Zhenhai / Zeng, Biao et al. | 2014
- 190
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Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulsesAbbas, Saïd / Benchohra, Mouffak et al. | 2014
- 199
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On a time fractional reaction diffusion equationAhmad, B. / Alhothuali, M.S. / Alsulami, H.H. / Kirane, M. / Timoshin, S. et al. | 2014
- 205
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Two fractional derivative inclusion problems via integral boundary conditionAgarwal, Ravi P. / Baleanu, Dumitru / Hedayati, Vahid / Rezapour, Shahram et al. | 2014
- 213
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Dynamics of a fractional hydrodynamical equation for the Heisenberg paramagnetPu, Xueke et al. | 2014
- 230
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Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equationsDiblík, J. / Fečkan, M. / Pospíšil, M. et al. | 2014
- 241
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Maximum-norm error analysis of a difference scheme for the space fractional CNLSWang, Dongling / Xiao, Aiguo / Yang, Wei et al. | 2014
- 252
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The spectral analysis for a singular fractional differential equation with a signed measureZhang, Xinguang / Liu, Lishan / Wu, Yonghong / Wiwatanapataphee, B. et al. | 2014
- 264
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A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equationsDeng, Kaiying / Chen, Minghua / Sun, Tieli et al. | 2014
- 274
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Robust stability and stabilization of fractional-order linear systems with polytopic uncertaintiesChen, Liping / Wu, Ranchao / He, Yigang / Yin, Lisheng et al. | 2014
- 285
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Some new results for multi-valued fractional evolution equationsWang, Rong-Nian / Ma, Qing-Hua et al. | 2014
- 295
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Analytic study on linear neutral fractional differential equationsZhou, Xian-Feng / Yang, Fuli / Jiang, Wei et al. | 2014
- 308
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Stability analysis by Krasnoselskii’s fixed point theorem for nonlinear fractional differential equationsGe, Fudong / Kou, Chunhai et al. | 2014
- 317
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Solving the time-fractional diffusion equation via Sinc–Haar collocation methodPirkhedri, A. / Javadi, H.H.S. et al. | 2014
- 327
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Time-fractional thermoelasticity problem for a sphere subjected to the heat fluxPovstenko, Yuriy et al. | 2014
- 335
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Group classification of nonlinear time-fractional diffusion equation with a source termLukashchuk, S.Yu. / Makunin, A.V. et al. | 2014
- 344
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Existence of mild solution for evolution equation with Hilfer fractional derivativeGu, Haibo / Trujillo, Juan J. et al. | 2014
- 355
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Crank–Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh–Nagumo monodomain modelBu, Weiping / Tang, Yifa / Wu, Yingchuan / Yang, Jiye et al. | 2014
- 365
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Heat conduction modeling by using fractional-order derivativesŽecová, Monika / Terpák, Ján et al. | 2015
- 374
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Pressure responses of a vertically hydraulic fractured well in a reservoir with fractal structureRazminia, Kambiz / Razminia, Abolhassan / Torres, Delfim F.M. et al. | 2015
- 381
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Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficientsLi, Zhiyuan / Liu, Yikan / Yamamoto, Masahiro et al. | 2014
- 398
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Fractional differential equation models with pulses and criterion for pest managementLin, Zeng / Wang, JinRong / Wei, Wei et al. | 2014
- 409
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Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti–Rabinowitz conditionGou, Tian-Xiang / Sun, Hong-Rui et al. | 2014
- 417
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Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methodsZhao, Yulin / Chen, Haibo / Qin, Bin et al. | 2015
- 428
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Fractional oscillator equation – Transformation into integral equation and numerical solutionBlaszczyk, Tomasz / Ciesielski, Mariusz et al. | 2015
- 436
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Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivativeMa, Qinghua / Wang, Rongnian / Wang, Junwei / Ma, Yicheng et al. | 2014
- 446
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Second-order explicit difference schemes for the space fractional advection diffusion equationLi, Wei / Li, Can et al. | 2014
- 458
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Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equationsPeng, Li / Zhou, Yong et al. | 2014
- 467
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A center Box method for radially symmetric solution of fractional subdiffusion equationHu, Xiuling / Liao, Hong-Lin / Liu, F. / Turner, I. et al. | 2015
- 487
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Convergence of solutions of mixed stochastic delay differential equations with applicationsMishura, Yuliya / Shalaiko, Taras / Shevchenko, Georgiy et al. | 2015
- 498
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Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonanceRossikhin, Yury A. / Shitikova, Marina V. et al. | 2015
- 526
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Positive solutions for eigenvalue problems of fractional differential equation with generalized p-LaplacianHan, Zhenlai / Lu, Hongling / Zhang, Chao et al. | 2015
- 537
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Fractional-order total variation image denoising based on proximity algorithmChen, Dali / Chen, YangQuan / Xue, Dingyu et al. | 2015
- 546
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Fractional order nonlinear systems with delay in iterative learning controlYan, Li / Wei, Jiang et al. | 2015
- 553
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Finite element method for two-dimensional space-fractional advection–dispersion equationsZhao, Yanmin / Bu, Weiping / Huang, Jianfei / Liu, Da-Yan / Tang, Yifa et al. | 2015
- 566
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Mellin transforms of generalized fractional integrals and derivativesKatugampola, Udita N. et al. | 2014
- 581
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Impulsive fractional partial differential equationsGuo, Tian Liang / Zhang, KanJian et al. | 2014
- 591
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A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficientsChen, S. / Liu, F. / Jiang, X. / Turner, I. / Anh, V. et al. | 2014