Two approximation methods for fractional order Pseudo-Parabolic differential equations

In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation. Explicit finite difference is constructed fo...

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Bibliographic Details
Main Authors: A. M. Alsallami, S. (Author), Akgül, A. (Author), Göktepe, E. (Author), Khalil, E.M (Author), Modanli, M. (Author)
Format: Article
Language:English
Published: Elsevier B.V. 2022
Subjects:
Online Access:View Fulltext in Publisher
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001 0.1016-j.aej.2022.03.061
008 220421s2022 CNT 000 0 und d
020 |a 11100168 (ISSN) 
245 1 0 |a Two approximation methods for fractional order Pseudo-Parabolic differential equations 
260 0 |b Elsevier B.V.  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1016/j.aej.2022.03.061 
520 3 |a In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation. Explicit finite difference is constructed for this partial differential equation. Stability estimates are proved for these difference schemes. Error analysis table is obtained by compared the exact and approximate solutions. Figures showing the physical properties of the exact and approximate solutions are presented. From the error tables and figures, this applied method is an good and effective method for this equation. © 2022 THE AUTHORS 
650 0 4 |a Approximate solution 
650 0 4 |a Approximation methods 
650 0 4 |a Boundary conditions 
650 0 4 |a Exact solution 
650 0 4 |a Explicit finite difference method 
650 0 4 |a Explicit finite difference method 
650 0 4 |a Finite difference method 
650 0 4 |a Fractional order 
650 0 4 |a Fractional order pseudo-parabolic differential equation 
650 0 4 |a Fractional order pseudo-parabolic differential equation 
650 0 4 |a Laplace decomposition methods 
650 0 4 |a Laplace transforms 
650 0 4 |a Modified double laplace decomposition method 
650 0 4 |a Modified double Laplace decomposition method 
650 0 4 |a Numerical methods 
650 0 4 |a Numerical solution 
650 0 4 |a Numerical solution 
650 0 4 |a Parabolic differential equation 
650 0 4 |a Partial differential equations 
650 0 4 |a Stability 
700 1 0 |a A. M. Alsallami, S.  |e author 
700 1 0 |a Akgül, A.  |e author 
700 1 0 |a Göktepe, E.  |e author 
700 1 0 |a Khalil, E.M.  |e author 
700 1 0 |a Modanli, M.  |e author 
773 |t Alexandria Engineering Journal