A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations

Hamood Ur Rehman¹, Muzammal Iftikhar¹, Shoaib Saleem¹, Muhammad Younis², Abdul Mueed³

¹Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan.
²Center for Undergraduate Studies, University of the Punjab, Lahore, Pakistan.
³Air University Multan Campus, Multan, Pakistan.

DOI: 10.4236/am.2014.521314                

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.

Keywords

Quadruple Laplace Transform, Exact Solution, Convolution, Partial Differential Equation, Homogeneous and Non-Homogeneous Problems

Conflicts of Interest

The authors declare no conflicts of interest.

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