On the numerical study of nonlinear initial-boundary value problems or initial-value problems

摘要

This paper deals with a numerical study for two problems first of which is a system of nonlinear initial-boundary value problems for a certain version of Boussinesque system of equations, by using two quadratic forms. The second one is to investigate and construct the numerical solution for a system of nonlinear initial-value problems which is generated by a system of hyper-elliptic type in some Hilbert space.