Explicit group iterative methods for the solution of two-dimensional time-fractional telegraph equation
In this work, we formulate two new four-point explicit group iterative schemes namely fractional explicit group (FEG) and fractional explicit de-coupled group (FEDG) iterative schemes in solving two-dimensional second-order time-fractional hyperbolic telegraph differential equation subject to specif...
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| Published in | AIP conference proceedings Vol. 2138; no. 1 |
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| Main Authors | , |
| Format | Journal Article Conference Proceeding |
| Language | English |
| Published |
Melville
American Institute of Physics
21.08.2019
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0094-243X 1551-7616 |
| DOI | 10.1063/1.5121043 |
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| Abstract | In this work, we formulate two new four-point explicit group iterative schemes namely fractional explicit group (FEG) and fractional explicit de-coupled group (FEDG) iterative schemes in solving two-dimensional second-order time-fractional hyperbolic telegraph differential equation subject to specific initial and Dirichlet boundary conditions. Both explicit group numerical iterative schemes derived from the combination of standard and rotated (skewed) five-point Crank-Nicolson finite difference approximations. The results, derived from the conducted numerical experimentations, show that FEDG method has significantly least computational efforts in terms of execution of CPU-timings when compared with other iterative schemes in this paper. |
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| AbstractList | In this work, we formulate two new four-point explicit group iterative schemes namely fractional explicit group (FEG) and fractional explicit de-coupled group (FEDG) iterative schemes in solving two-dimensional second-order time-fractional hyperbolic telegraph differential equation subject to specific initial and Dirichlet boundary conditions. Both explicit group numerical iterative schemes derived from the combination of standard and rotated (skewed) five-point Crank-Nicolson finite difference approximations. The results, derived from the conducted numerical experimentations, show that FEDG method has significantly least computational efforts in terms of execution of CPU-timings when compared with other iterative schemes in this paper. |
| Author | Ali, Ajmal Ali, Norhashidah Hj Mohd |
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| Editor | Ibrahim, Haslinda Yaakob, Abdul Malek Zulkepli, Jafri Aziz, Nazrina |
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| References | Hosseini, Shivanian, Chen (c2) 2015 Hashemia, Baleanub (c5) 2016 Ferreira, Rodrigues, Vieira (c6) 2017 Shivanian (c3) 2016 Mittal, Bhatia (c8) 2014 Heydari, Hooshmandasl, Mohammadi (c1) 2014 Shivanian, Abbasbandy, Alhuthali, Alsulami (c4) 2015 Balasim, Ali (c7) 2015 |
| References_xml | – start-page: 1820 year: 2016 ident: c3 publication-title: Math Method Appl. Sci. – start-page: 976 year: 2014 ident: c8 publication-title: Appl. Math Comput. – start-page: 1 year: 2015 ident: c2 publication-title: Eur. Phys. J. Plus. – start-page: 10 year: 2016 ident: c5 publication-title: J. Comput. Phys. – start-page: 1 year: 2015 ident: c7 publication-title: Indian J. Sci. Technol. – start-page: 247 year: 2014 ident: c1 publication-title: Adv. Appl. Math Mech. – start-page: 98 year: 2015 ident: c4 publication-title: Eng. Anal. Bound. Elem. – start-page: 868 year: 2017 ident: c6 publication-title: Fract. Calc. Appl. Anal. |
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| Snippet | In this work, we formulate two new four-point explicit group iterative schemes namely fractional explicit group (FEG) and fractional explicit de-coupled group... |
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| SubjectTerms | Boundary conditions Differential equations Dirichlet problem Finite difference method Iterative methods |
| Title | Explicit group iterative methods for the solution of two-dimensional time-fractional telegraph equation |
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