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A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations
Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan
Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan
Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan
Center for Undergraduate Studies, University of the Punjab, Lahore, Pakistan
Air University Multan Campus, Multan, Pakistan
- 1 Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan
- 2 Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan
- 3 Department of Mathematics, University of Education, Okara Campus, Okara, Pakistan
- 4 Center for Undergraduate Studies, University of the Punjab, Lahore, Pakistan
- 5 Air University Multan Campus, Multan, Pakistan
Applied Mathematics·Volume 05 (2014)·Pages 3372–3382·Published 1 December 2014·DOI10.4236/am.2014.521314
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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.
KeywordsQuadruple Laplace TransformExact SolutionConvolutionPartial Differential EquationHomogeneous and Non-Homogeneous Problems
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