Superlative Analysis of Mohand, Aboodh and Elzaki Transforms to the solution of a certain Partial Differential Equation with Financial Application

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Abstract

Mathematical problems which are advanced that can be seen in different fields of engineering and sciences can be solved by integral transforms. In this paper, the solutions to differential equations (DE) with emphasis on the stochastic differential equation (SDE) are achieved by implementing new integral transform namely; Aboodh, Elzaki and Mohand transforms and the transformation method and properties on the given DE. Furthermore, a superlative analysis of these transforms shows that the three transforms are well connected but the Elzaki transform showed a little distinction from others.to the solution of certain Partial differential equation with financial application.

Keywords: Aboodh transform, Elzaki transform, Mohand transform, Solution to Financial partial diffe,

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