Now showing items 1-3 of 3
The application of the multigrid algorithm to the solution of stiff ordinary differential equations resulting from partial differential equations.
We wish to apply the newly developed multigrid method  to the solution of ODEs resulting from the semi-discretization of time dependent PDEs by the method of lines. In particular, we consider the general form of two ...
A comparative study of collocation methods for the numerical solution of differential equations.
The collocation method for solving ordinary differential equations is examined. A detailed comparison with other weighted residual methods is made. The orthogonal collocation method is compared to the collocation method ...
A classification of second order equations via nonlocal transformations.
The study of second order ordinary differential equations is vital given their proliferation in mechanics. The group theoretic approach devised by Lie is one of the most successful techniques available for ...