SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS BY DOUBLE LAPLACE – UPADHYAYA TRANSFORM

In this paper we are going to solve numerous partial differential equations by introducing a new double integral transform known as Laplace – Upadhyaya Transform (DLUT). The significance of this research is that all the other double Laplace – any transform, merely becomes particular case of this newly introduced DLUT. In this paper we will prove few theorems and properties of DLUT which in return will be useful to solve PDE’s.

Keywords

Double Laplace – Upadhyaya Transform, Single Laplace Transform, Single Upadhyaya Transform, Partial Differential Equations.

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