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02216nam a2200421Ia 4500 |
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0.1016-j.aej.2022.03.061 |
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|a 11100168 (ISSN)
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|a Two approximation methods for fractional order Pseudo-Parabolic differential equations
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|b Elsevier B.V.
|c 2022
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|z View Fulltext in Publisher
|u https://doi.org/10.1016/j.aej.2022.03.061
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|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
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|a Approximate solution
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|a Approximation methods
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|a Boundary conditions
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|a Exact solution
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|a Explicit finite difference method
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|a Explicit finite difference method
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|a Finite difference method
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|a Fractional order
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|a Fractional order pseudo-parabolic differential equation
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|a Fractional order pseudo-parabolic differential equation
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|a Laplace decomposition methods
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|a Laplace transforms
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|a Modified double laplace decomposition method
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|a Modified double Laplace decomposition method
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|a Numerical methods
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|a Numerical solution
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|a Numerical solution
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|a Parabolic differential equation
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|a Partial differential equations
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|a Stability
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|a A. M. Alsallami, S.
|e author
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|a Akgül, A.
|e author
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|a Göktepe, E.
|e author
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|a Khalil, E.M.
|e author
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|a Modanli, M.
|e author
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|t Alexandria Engineering Journal
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