Laplace transform technique for pseudoparabolic equation with nonlocal conditions. (English) Zbl 1291.35121

Merad, Ahcene; Bouziani, Abdelfatah

Transylv. J. Math. Mech. 5, No. 1, 59-64 (2013).

Summary: We present a Laplace transform technique for solving the pseudoparabolic equation with nonlocal (integral) conditions. A Laplace transform technique is described for the solution of the considered equation. Finally, we obtain the solution using a numerical technique by inverting the Laplace transform.

MSC:

35K70	Ultraparabolic equations, pseudoparabolic equations, etc.
40A05	Convergence and divergence of series and sequences
40A25	Approximation to limiting values (summation of series, etc.)
45G05	Singular nonlinear integral equations
35A22	Transform methods (e.g., integral transforms) applied to PDEs

Keywords:

pseudoparabolic equation; Laplace transform technique; nonlocal conditions