485
Views
23
CrossRef citations to date
0
Altmetric
Section B

Numerical solutions of fractional advection–diffusion equations with a kind of new generalized fractional derivative

, &
Pages 588-600 | Received 04 Nov 2012, Accepted 21 Apr 2013, Published online: 24 May 2013

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (1)

Abdolali Neamaty, Milad Yadollahzadeh, Rahmat Darzi & Bahram Agheli. (2016) On the existence and uniqueness of solutions to a new class of fractional boundary value problems. International Journal of Computer Mathematics 93:9, pages 1611-1627.
Read now

Articles from other publishers (22)

M Khalaf, A Elsaid, S F Hammad & W K Zahra. (2024) Non-differentiable kernel-based approximation of memory-dependent derivative for drug delivery applications. Physica Scripta 99:5, pages 055001.
Crossref
Muhammad Bilal Hafeez & Marek Krawczuk. (2024) Fractional Spectral and Fractional Finite Element Methods: A Comprehensive Review and Future Prospects. Archives of Computational Methods in Engineering.
Crossref
Xuhao Li & Patricia J. Y. Wong. (2023) Two new approximations for generalized Caputo fractional derivative and their application in solving generalized fractional sub-diffusion equations. Journal of Applied Mathematics and Computing 69:6, pages 4689-4716.
Crossref
Anshima Singh, Sunil Kumar & Jesus Vigo‐Aguiar. (2023) High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations. Mathematical Methods in the Applied Sciences 46:16, pages 16521-16541.
Crossref
Muhammad Bilal Hafeez & Marek Krawczuk. (2023) A Review: Applications of the Spectral Finite Element Method. Archives of Computational Methods in Engineering 30:5, pages 3453-3465.
Crossref
Sarita Kumari, Rajesh K. Pandey & Ravi P. Agarwal. (2023) High-Order Approximation to Generalized Caputo Derivatives and Generalized Fractional Advection–Diffusion Equations. Mathematics 11:5, pages 1200.
Crossref
Xuhao Li, Qinxu Ding & Patricia J. Y. Wong. (2022) High Order Approximation of Generalized Caputo Fractional Derivative and its Application. High Order Approximation of Generalized Caputo Fractional Derivative and its Application.
Sandeep Kumar, Rajesh K. Pandey, Kamlesh Kumar, Shyam Kamal & Thach Ngoc Dinh. (2022) Finite Difference–Collocation Method for the Generalized Fractional Diffusion Equation. Fractal and Fractional 6:7, pages 387.
Crossref
Xuhao Li & Patricia J. Y. Wong. (2022) gL1 Scheme for Solving a Class of Generalized Time-Fractional Diffusion Equations. Mathematics 10:8, pages 1219.
Crossref
Farheen Sultana, Rajesh K. Pandey, Deeksha Singh & Om P. Agrawal. (2022) High order approximation on non-uniform meshes for generalized time-fractional telegraph equation. MethodsX 9, pages 101905.
Crossref
Hitesh Bansu & Sushil Kumar. (2021) Numerical Solution of Space-Time Fractional Klein-Gordon Equation by Radial Basis Functions and Chebyshev Polynomials. International Journal of Applied and Computational Mathematics 7:5.
Crossref
Marcela A. Fabio, Silvia A. Seminara & María Inés Troparevsky. 2021. Applications of Wavelet Multiresolution Analysis. Applications of Wavelet Multiresolution Analysis 1 21 .
Qinxu Ding & Patricia J. Y. Wong. (2020) A new approximation for the generalized fractional derivative and its application to generalized fractional diffusion equation. Numerical Methods for Partial Differential Equations 37:1, pages 643-673.
Crossref
Qinxu Ding & Patricia J. Y. Wong. (2020) A higher order numerical scheme for generalized fractional diffusion equations. International Journal for Numerical Methods in Fluids 92:12, pages 1866-1889.
Crossref
Xuhao Li & Patricia J.Y. Wong. (2020) A gWSGL numerical scheme for generalized fractional sub-diffusion problems. Communications in Nonlinear Science and Numerical Simulation 82, pages 104991.
Crossref
Hitesh Bansu & Sushil Kumar. 2020. Mathematical Modeling and Computational Tools. Mathematical Modeling and Computational Tools 239 248 .
Swati Yadav, Rajesh K. Pandey, Anil K. Shukla & Kamlesh Kumar. (2019) High-order approximation for generalized fractional derivative and its application. International Journal of Numerical Methods for Heat & Fluid Flow 29:9, pages 3515-3534.
Crossref
Qinwu Xu & Zhoushun Zheng. (2019) Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator. International Journal of Differential Equations 2019, pages 1-14.
Crossref
Qinxu Ding & Patricia J. Y. Wong. An effcient numerical approach for a new generalized fractional diffusion equation. An effcient numerical approach for a new generalized fractional diffusion equation.
Małgorzata Klimek & Kalina Kamińska. 2017. Theory and Applications of Non-integer Order Systems. Theory and Applications of Non-integer Order Systems 203 214 .
Zhenhua Hu & Wen Chen. (2013) Modeling of Macroeconomics by a Novel Discrete Nonlinear Fractional Dynamical System. Discrete Dynamics in Nature and Society 2013, pages 1-9.
Crossref
Hamzeh Zureigat, Ahmad Izani Ismail & Saratha Sathasivam. (2018) Explicit Solutions of Fuzzy Time Fractional Diffusion Equations in Double Parametric Form of Fuzzy Number. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.