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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Bibliographic Details
Published inAIP conference proceedings Vol. 2138; no. 1
Main Authors Ali, Ajmal, Ali, Norhashidah Hj Mohd
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 21.08.2019
Subjects
Boundary conditions
Differential equations
Dirichlet problem
Finite difference method
Iterative methods
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ISSN0094-243X
1551-7616
DOI10.1063/1.5121043

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Summary: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.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5121043