Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line-Reference-Cited by-同舟云学术

Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line

Published:2016-07 Issue: Volume:316 Page:10-20
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Hashemi M.S.^ORCID,Baleanu D.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference44 articles.

1. Fractional Differential Equations;Podlubny,1999

2. Theory and Applications of Fractional Differential Equations;Kilbas,2006

3. Fractional Calculus Models and Numerical Methods (Series on Complexity, Nonlinearity and Chaos);Baleanu,2012

4. A unified Petrov–Galerkin spectral method for fractional PDEs;Zayernouri;Comput. Methods Appl. Math.,2015

5. The solution of the linear fractional partial differential equations using the homotopy analysis method;Dehghan;Z. Naturforsch. A.,2010

Cited by 69 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A High Order Numerical Scheme for Time-Fractional Telegraph Equation Via Cubic Spline in Tension;Differential Equations and Dynamical Systems;2024-02-06

2. On the Existence and Uniqueness of the Solution of a Nonlinear Fractional Differential Equation with Integral Boundary Condition;Journal of Nonlinear Mathematical Physics;2023-09-27

3. A composite method based on delta‐shaped basis functions and Lie group high‐order geometric integrator for solving Kawahara‐type equations;Mathematical Methods in the Applied Sciences;2023-09-06

4. Solution of Time-Fractional Third-Order Partial Differential Equations of One and Higher Dimensions;VFAST Transactions on Mathematics;2023-03-17

5. Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions;Mathematics and Computers in Simulation;2023-03