title: Explicit finite difference methods for the delay pseudoparabolic equations.
abstract: Finite difference technique is applied to numerical solution of the initial-boundary value problem for the semilinear delay Sobolev or pseudoparabolic equation. By the method of integral identities two-level difference scheme is constructed. For the time integration the implicit rule is being used. Based on the method of energy estimates the fully discrete scheme is shown to be absolutely stable and convergent of order two in space and of order one in time. The error estimates are obtained in the discrete norm. Some numerical results confirming the expected behavior of the method are shown.
authors.affiliation: Department of Mathematics, Faculty of Art and Science, Sinop University, 57000 Sinop, Turkey.
authors.forename: I
authors.initials: I
authors.lastname: Amirali
authors.affiliation: Department of Mathematics, Faculty of Art and Science, Sinop University, 57000 Sinop, Turkey.
authors.forename: G M
authors.initials: GM
authors.lastname: Amiraliyev
authors.affiliation: Department of Mathematics, Faculty of Science, Yüzüncü Yil University, 65080 Van, Turkey.
authors.forename: M
authors.initials: M
authors.lastname: Cakir
authors.affiliation: Department of Mathematics, Faculty of Education, Yüzüncü Yil University, 65080 Van, Turkey.
authors.forename: E
authors.initials: E
authors.lastname: Cimen
mesh_terms: D055641:Mathematical Concepts; D008962:Models, Theoretical