Modanli, MahmutGoktepe, EcemAkgul, AliAlsallami, Shami A. M.Khalil, E. M.2024-12-242024-12-2420221110-01682090-2670https://doi.org/10.1016/j.aej.2022.03.061https://hdl.handle.net/20.500.12604/6313In 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.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).eninfo:eu-repo/semantics/openAccessFractional order pseudo-parabolic differential equa-tionExplicit finite difference methodModified double Laplace decomposition methodStabilityNumerical solutionArticle61121033310339Q1WOS:000806178000007Q12-s2.0-8512776020510.1016/j.aej.2022.03.061