Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 96, 2019 - Issue 3
Submit an article Journal homepage
218
Views
24
CrossRef citations to date
0
Altmetric
Original Article

A wavelet approach for the multi-term time fractional diffusion-wave equation

F. Soltani SarvestaniDepartment of Pure Mathematics, Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
,
M. H. HeydariDepartment of Mathematics, Shiraz University of Technology, Shiraz, IranCorrespondence[email protected]
,
A. NiknamDepartment of Pure Mathematics, Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
&
Z. AvazzadehSchool of Mathematical Science, Nanjing Normal University, Nanjing, China
Pages 640-661 | Received 07 Apr 2016, Accepted 19 Mar 2018, Published online: 05 Apr 2018

Citations (24)

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

Subscribe to citation updates

Read on this site (3)

Mohammad Prawesh Alam, Arshad Khan & Dumitru Baleanu. (2023) A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models. International Journal of Computer Mathematics 100:1, pages 105-132.
Read now
J. Alba-Pérez & J. E. Macías-Díaz. (2021) A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times. International Journal of Computer Mathematics 98:6, pages 1071-1097.
Read now
B. Kh. Mousavi & M. H. Heydari. (2020) Wilson wavelets method for solving nonlinear fractional Fredholm–Hammerstein integro-differential equations. International Journal of Computer Mathematics 97:11, pages 2165-2177.
Read now

Articles from other publishers (21)

Mahboubeh Molavi-Arabshahi, Jalil Rashidinia & Shiva Tanoomand. (2024) An efficient spectral collocation method based on the generalized Laguerre polynomials to multi-term time fractional diffusion-wave equations. AIP Advances 14:2.
Crossref
Jalil Rashidinia, Arefeh Momeni & Mahboubeh Molavi-Arabshahi. (2024) Solution of convection-diffusion model in groundwater pollution. Scientific Reports 14:1.
Crossref
Madiha Shafiq, Muhammad Abbas, Emad K. El-Shewy, Mahmoud A. E. Abdelrahman, Noura F. Abdo & Ali A. El-Rahman. (2023) Numerical Investigation of the Fractional Diffusion Wave Equation with the Mittag–Leffler Function. Fractal and Fractional 8:1, pages 18.
Crossref
Muhammad M. Alsuyuti, Eid H. Doha & Samer S. Ezz‐Eldien. (2023) Numerical simulation for classes of one‐ and two‐dimensional multi‐term time‐fractional diffusion and diffusion‐wave equation based on shifted Jacobi Galerkin scheme. Mathematical Methods in the Applied Sciences.
Crossref
Abdul Ghafoor, Nazish Khan, Manzoor Hussain & Rahman Ullah. (2022) A hybrid collocation method for the computational study of multi-term time fractional partial differential equations. Computers & Mathematics with Applications 128, pages 130-144.
Crossref
M.M. Alsuyuti, E.H. Doha & S.S. Ezz-Eldien. (2022) Galerkin operational approach for multi-dimensions fractional differential equations. Communications in Nonlinear Science and Numerical Simulation 114, pages 106608.
Crossref
Farzaneh Safari, Li Jing, Jun Lu & Wen Chen. (2022) A meshless method to solve the variable-order fractional diffusion problems with fourth-order derivative term. Engineering Analysis with Boundary Elements 143, pages 677-686.
Crossref
Ji Lin. (2021) Simulation of 2D and 3D inverse source problems of nonlinear time-fractional wave equation by the meshless homogenization function method. Engineering with Computers 38:S4, pages 3599-3608.
Crossref
J. A. M. Carrer, B. S. Solheid, J. Trevelyan & M. Seaid. (2021) A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation. Engineering with Computers 38:S4, pages 3563-3580.
Crossref
Xiong-bin Yan, Zheng-qiang Zhang & Ting Wei. (2022) Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation. Chaos, Solitons & Fractals 157, pages 111901.
Crossref
M. Hosseininia, M. H. Heydari & Z. Avazzadeh. (2020) Numerical study of the variable-order fractional version of the nonlinear fourth-order 2D diffusion-wave equation via 2D Chebyshev wavelets. Engineering with Computers 37:4, pages 3319-3328.
Crossref
Entsar A. Abdel-Rehim. (2021) The Approximate and Analytic Solutions of the Time-Fractional Intermediate Diffusion Wave Equation Associated with the Fokker–Planck Operator and Applications. Axioms 10:3, pages 230.
Crossref
Mohammad Hossein Heydari, Abdon Atangana & Zakieh Avazzadeh. (2020) Numerical solution of nonlinear fractal‐fractional optimal control problems by Legendre polynomials. Mathematical Methods in the Applied Sciences 44:4, pages 2952-2963.
Crossref
Marziyeh Saffarian & Akbar Mohebbi. (2019) The Galerkin spectral element method for the solution of two‐dimensional multiterm time fractional diffusion‐wave equation. Mathematical Methods in the Applied Sciences 44:4, pages 2842-2858.
Crossref
Lifei Wu, Yueyue Pan & Xiaozhong Yang. (2021) An efficient alternating segment parallel finite difference method for multi-term time fractional diffusion-wave equation. Computational and Applied Mathematics 40:2.
Crossref
M. H. HEYDARI, Z. AVAZZADEH & Y. YANG. (2020) NUMERICAL TREATMENT OF THE SPACE–TIME FRACTAL–FRACTIONAL MODEL OF NONLINEAR ADVECTION–DIFFUSION–REACTION EQUATION THROUGH THE BERNSTEIN POLYNOMIALS. Fractals 28:08, pages 2040001.
Crossref
M.H. Heydari, Z. Avazzadeh & A. Atangana. (2020) Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Applied Numerical Mathematics.
Crossref
Jalil Rashidinia & Elham Mohmedi. (2020) Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations. Computational and Applied Mathematics 39:3.
Crossref
M.H. Heydari. (2020) Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative. Applied Numerical Mathematics 150, pages 507-518.
Crossref
M.H. Heydari. (2019) A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems. Journal of the Franklin Institute 356:15, pages 8216-8236.
Crossref
Libo Feng, Fawang Liu & Ian Turner. (2019) Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains. Communications in Nonlinear Science and Numerical Simulation 70, pages 354-371.
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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.