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Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions

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Abstract In this paper, we use the Rothe time-discretization method to prove the existence and uniqueness of a strong solution of a semilinear pseudo-parabolic equation with integral conditions. We also… Click to show full abstract

Abstract In this paper, we use the Rothe time-discretization method to prove the existence and uniqueness of a strong solution of a semilinear pseudo-parabolic equation with integral conditions. We also provided an example to illustrate the main result.

Keywords: pseudo parabolic; parabolic equation; time discretization; semilinear pseudo; equation integral; integral conditions

Journal Title: Applied Numerical Mathematics
Year Published: 2020

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