On the Numerical Solution of Ultra Parabolic Equations with Neumann Condition

Subject Applied Mathematics
Title On the Numerical Solution of Ultra Parabolic Equations with Neumann Condition
Author(s) Allaberen Ashyralyev, Serhat Yılmaz
Keywords Ultra-parabolic Equations, difference schemes, stability estimates, numerical solutions
Abstract

The first order of accuracy difference scheme for the approximate solution of the initial boundary value problem for ultra parabolic equations with Neumann condition are presented. Stability of these difference schemes are established. Theoretical results are supported by the result of a numerical example.