Analytical solution for the time-fractional telegraph equation by the method of separating variables

By J. Chen, Fawang Liu, Vo Anh. 2008

247 citations recorded by the source corpus.

In this paper, a method of separating variables is effectively implemented for solving a time-fractional telegraph equation (TFTE). We discuss and derive the analytical solution of the TFTE with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin boundary conditions.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/88a1b54dd2dac4fec761f6c6ce84c1229ff6a224

How researchers see this paper

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In Applied Mathematics

1. Ian L Turner
2. M. Mamchuev
3. Fawang Liu
4. Kevin Burrage
5. Hui Jiang
6. Mingrong Cui
7. Changpin Li
8. Vo Anh

In Modeling and Simulation

1. Fawang Liu
2. Ian L Turner
3. Kevin Burrage
4. M. Mamchuev
5. Hui Jiang
6. Vo Anh
7. Changpin Li
8. Pinghui Zhuang

In Numerical Analysis

1. Fawang Liu
2. Ian L Turner
3. Kevin Burrage
4. M. Mamchuev
5. Hui Jiang
6. Vo Anh
7. Changpin Li
8. Pinghui Zhuang

Citations in the corpus

• Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain (2012, background): “The multi-term time-fractional derivatives are defined in the Caputo sense, whose orders belong to the intervals [0,1], [1,2] and [0,2], respectively.”
• Solutions of the main boundary value problems for the time-fractional telegraph equation by the green function method (2016, methodology): “2) were studied in [5], [9] by separation of variables and in [9] by the methods Laplace and Fourier integral transforms.”