Two approximation methods for fractional order Pseudo-Parabolic differential equations

Abstract

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.

Keywords

• Fractional order pseudo-parabolic differential equation
• Explicit finite difference method
• Modified double Laplace decomposition method
• Stability
• Numerical solution