Simultaneous determination of time and space-dependent coefficients in a parabolic equation
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Publication Date
Sat Mar 01 2014
Journal Name
Computers & Mathematics With Applications
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Publication Date
Fri Oct 14 2016
Journal Name
International Journal For Computational Methods In Engineering Science And Mechanics
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Publication Date
Thu Dec 21 2023
Journal Name
Mathematical Modelling Of Engineering Problems
Publication Date
Thu Jun 01 2023
Journal Name
Partial Differential Equations In Applied Mathematics
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Publication Date
Thu Jan 01 2015
Journal Name
Finite Difference Methods,theory And Applications
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(1)
Publication Date
Tue Mar 16 2021
Journal Name
International Journal For Computational Methods In Engineering Science And Mechanics
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Publication Date
Mon Jan 01 2024
Journal Name
2nd International Conference For Engineering Sciences And Information Technology (esit 2022): Esit2022 Conference Proceedings
Publication Date
Mon May 01 2017
Journal Name
Applied Mathematics And Computation
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(15)
Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Numerical Approximations of a One-Dimensional Time-Fractional Semilinear Parabolic Equation
Fractional order equation
Caputo fractional formula
Finite difference shames
Semilinear parabolic equation
Implicit Euler scheme
Crank-Nicolson method
The time fractional order differential equations are fundamental tools that are used for modeling neuronal dynamics. These equations are obtained by substituting the time derivative of order where , in the standard equation with the Caputo fractional formula. In this paper, two implicit difference schemes: the linearly Euler implicit and the Crank-Nicolson (CN) finite difference schemes, are employed in solving a one-dimensional time-fractional semilinear equation with Dirichlet boundary conditions. Moreover, the consistency, stability and convergence of the proposed schemes are investigated. We prove that the IEM is unconditionally stable, while CNM is conditionally stable. Furthermore, a comparative study between these two s
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Publication Date
Tue Apr 01 2014
Journal Name
International Communications In Heat And Mass Transfer
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