Some Aspects of the Solution of Non-linear Differential Equations

Abstract

Nonlinear differential equations can be solved by a
variety of methods. One such technique is to transform the
differential equations into a set of algebraic equations.

The thesis describes the methods available at present
for solving large systems of algebraic equations. The methods
described are found to be not to be entirely satisfactory and therefore a new technique
for solving algebraic equations is presented. The technique
is specifically developed for solving large systems of
equations whilst simplifying the computation and minimizing the
storage requirements,

Next, a study has been made to provide a suitable
standard of comparisons between the various methods.

Finally, an industrial problem is solved using the
new technique. Comparisons show that the above technique
provides an adequate solution at reduced computational effort

Date of Award	1972
Original language	English