You have no items in your shopping cart.
ABSTRACT
The field of partial differential equations is voluminous in size and diversity. The goal of this project work is to show the various applications of laplace transforms in solving partial differential equations, especially the second order partial differential equations. In the introduction of this project work a brief overview on the background of study, significance of study and definition of some basic and useful terms in the application of laplace transforms and partial differential equations was given, moving further a literature review of use of laplace transforms in solving differential equations by various scholars was considered and in chapter three of this work, solutions to initial value problems of ordinary differential equations was considered using laplace transform, also we looked at the various properties of laplace transforms. In chapter four of this work solutions to second order partial differential equations using laplace transform was considered, where two questions was solved and also we considered the application of second order partial differential equations to vibrating strings and black scholes where we solved on initial value problem under the vibrating strings application.
