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

A Computational Quadruple Laplace Transform for the Solution of Partial Differential Equations
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摘要 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. 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.
出处 《Applied Mathematics》 2014年第21期3372-3382,共11页 应用数学(英文)
关键词 Quadruple LAPLACE Transform EXACT SOLUTION Convolution Partial Differential Equation HOMOGENEOUS and NON-HOMOGENEOUS Problems Quadruple Laplace Transform Exact Solution Convolution Partial Differential Equation Homogeneous and Non-Homogeneous Problems
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