The object of this work is to describe how to implement the differential ‎transformation method (DTM) for finding exact and approximate solutions of ‎the second-order random differential equations. To ...

We shall consider only nontrivial solutions of Equation (1.1) which are defined for all large t. A solution of Equation (1.1) is said to be oscillatory if it has arbitrarily large zeros, otherwise it ...

Abstract: The tool for numerical solution for the nonlinear partial differential equations of second order in space and time had been decribed. The explicit and implicit difference schemes had been ...

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

EVEN from the point of view of an undergraduate, the subject of differential equations is very diiferent from what it was fifty years ago. But in a large and miscellaneous collection of examples like ...

This project was undertaken as a dissertation for a Master's programme in Mathematics at Durham University (Oct. 2022 - Apr. 2023), where it attained a final grade of 85%. The report will be ...