A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Ebru Ozbilge & Fatma Kanca & Emre Özbilge, 2022. "Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions," Mathematics, MDPI, vol. 10(9), pages 1-8, April.
- Li, Shengyue & Zhou, Zhaojie, 2019. "Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 331-347.
- Raberto, Marco & Scalas, Enrico & Mainardi, Francesco, 2002.
"Waiting-times and returns in high-frequency financial data: an empirical study,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 749-755.
- M. Raberto & E. Scalas & F. Mainardi, 2002. "Waiting-times and returns in high-frequency financial data: an empirical study," Papers cond-mat/0203596, arXiv.org.
- Marco Raberto & Enrico Scalas & Francesco Mainardi, 2004. "Waiting-times and returns in high-frequency financial data: an empirical study," Finance 0411014, University Library of Munich, Germany.
- James W. Kirchner & Xiahong Feng & Colin Neal, 2000. "Fractal stream chemistry and its implications for contaminant transport in catchments," Nature, Nature, vol. 403(6769), pages 524-527, February.
- Feng, L.B. & Zhuang, P. & Liu, F. & Turner, I., 2015. "Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 52-65.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Zhang, Jingyuan, 2018. "A stable explicitly solvable numerical method for the Riesz fractional advection–dispersion equations," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 209-227.
- Zeid, Samaneh Soradi, 2019. "Approximation methods for solving fractional equations," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 171-193.
- Qu, Wei & Li, Zhi, 2021. "Fast direct solver for CN-ADI-FV scheme to two-dimensional Riesz space-fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 401(C).
- Treena Basu, 2015. "A Fast O ( N log N ) Finite Difference Method for the One-Dimensional Space-Fractional Diffusion Equation," Mathematics, MDPI, vol. 3(4), pages 1-13, October.
- Yin, Baoli & Liu, Yang & Li, Hong, 2020. "A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations," Applied Mathematics and Computation, Elsevier, vol. 368(C).
- Viktor Stojkoski & Trifce Sandev & Lasko Basnarkov & Ljupco Kocarev & Ralf Metzler, 2020. "Generalised geometric Brownian motion: Theory and applications to option pricing," Papers 2011.00312, arXiv.org.
- Scalas, Enrico & Kaizoji, Taisei & Kirchler, Michael & Huber, Jürgen & Tedeschi, Alessandra, 2006.
"Waiting times between orders and trades in double-auction markets,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 463-471.
- Enrico Scalas & Taisei Kaizoji & Michael Kirchler & Juergen Huber & Alessandra Tedeschi, 2006. "Waiting times between orders and trades in double-auction markets," Papers physics/0608273, arXiv.org.
- Wael W. Mohammed & Mohammed Alshammari & Clemente Cesarano & Sultan Albadrani & M. El-Morshedy, 2022. "Brownian Motion Effects on the Stabilization of Stochastic Solutions to Fractional Diffusion Equations with Polynomials," Mathematics, MDPI, vol. 10(9), pages 1-9, April.
- Asma Alharbi & Rafik Guefaifia & Salah Boulaaras, 2020. "A New Proof of the Existence of Nonzero Weak Solutions of Impulsive Fractional Boundary Value Problems," Mathematics, MDPI, vol. 8(5), pages 1-16, May.
- Schumer, Rina & Baeumer, Boris & Meerschaert, Mark M., 2011. "Extremal behavior of a coupled continuous time random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 505-511.
- Langlands, T.A.M., 2006. "Solution of a modified fractional diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 136-144.
- Hamid, M. & Usman, M. & Haq, R.U. & Wang, W., 2020. "A Chelyshkov polynomial based algorithm to analyze the transport dynamics and anomalous diffusion in fractional model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
- Staccioli, Jacopo & Napoletano, Mauro, 2021.
"An agent-based model of intra-day financial markets dynamics,"
Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 331-348.
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra day financial markets dynamics," Documents de Travail de l'OFCE 2018-34, Observatoire Francais des Conjonctures Economiques (OFCE).
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra-day financialmarkets dynamics," SciencePo Working papers Main hal-03471566, HAL.
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra-day financialmarkets dynamics," Working Papers hal-03471566, HAL.
- Jacopo Staccioli & Mauro Napoletano, 2021. "An agent-based model of intra-day financial markets dynamics," Post-Print halshs-03046657, HAL.
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra-day financial markets dynamics," LEM Papers Series 2018/12, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Jacopo Staccioli & Mauro Napoletano, 2021. "An agent-based model of intra-day financial markets dynamics," SciencePo Working papers Main halshs-03046657, HAL.
- D’Amico, Guglielmo & Janssen, Jacques & Manca, Raimondo, 2009. "European and American options: The semi-Markov case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3181-3194.
- Przemyslaw Repetowicz & Peter Richmond, 2004. "Pricing of options on stocks driven by multi-dimensional operator stable Levy processes," Papers math-ph/0412071, arXiv.org, revised Feb 2005.
- Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2009.
"Detrended fluctuation analysis of intertrade durations,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 433-440.
- Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
- Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2004.
"Anomalous waiting times in high-frequency financial data,"
Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 695-702.
- Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003. "Anomalous waiting times in high-frequency financial data," Papers cond-mat/0310305, arXiv.org.
- Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2005. "Anomalous waiting times in high-frequency financial data," Papers physics/0505210, arXiv.org.
- repec:spo:wpmain:info:hdl:2441/5mqflt6amg8gab4rlqn6sbko4b is not listed on IDEAS
- Plamen Ch Ivanov & Ainslie Yuen & Pandelis Perakakis, 2014. "Impact of Stock Market Structure on Intertrade Time and Price Dynamics," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-14, April.
- Berardi, Luca & Serva, Maurizio, 2005. "Time and foreign exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 403-412.
- Meerschaert, Mark M. & Scalas, Enrico, 2006.
"Coupled continuous time random walks in finance,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 114-118.
- Mark M. Meerschaert & Enrico Scalas, 2006. "Coupled continuous time random walks in finance," Papers physics/0608281, arXiv.org.
More about this item
Keywords
variable coefficients; crank-nicolson method; stability and convergence; richardson extrapolation;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1838-:d:1122107. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.