TITLE:
A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations
AUTHORS:
Hamood Ur Rehman, Muzammal Iftikhar, Shoaib Saleem, Muhammad Younis, Abdul Mueed
KEYWORDS:
Quadruple Laplace Transform, Exact Solution, Convolution, Partial Differential Equation, Homogeneous and Non-Homogeneous Problems
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.21,
December
5,
2014
ABSTRACT: In this paper, we proposed new results in quadruple Laplace transform and proved some properties concerned with quadruple Laplace transform. We also developed some applications based on these results and solved homogeneous as well as non-homogeneous partial differential equations involving four variables. The performance of quadruple Laplace transform is shown to be very encouraging by concrete examples. An elementary table of quadruple Laplace transform is also provided.