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CERTAIN THEOREMS ON TWO DIMENSIONAL LAPLACE TRANSFORM AND NON-HOMOGENEOUS PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

Arman Aghili, Behrouz Parsa Moghaddam

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Abstract

In this work,we present new theorems on two-dimensional Laplace transformation. We also develop some applications based on these results. The two-dimensional Laplace transformation is useful in the solution of non-homogeneous partial differential equations. In the last section a boundary value problem is solved by using the double Laplace-Carson transform.

About this research paper

What this paper is about

In this work,we present new theorems on two-dimensional Laplace transformation. We also develop some applications based on these results. The two-dimensional Laplace transformation is useful in the solution of non-homogeneous partial differential equations. In the last section a boundary value problem is solved by using the double Laplace-Carson transform.

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OpenAlex reports 20 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this work,we present new theorems on two-dimensional Laplace transformation. We also develop some applications based on these results. The two-dimensional Laplace transformation is useful in the solution of non-homogeneous partial differential equations. In the last section a boundary value problem is solved by using the double Laplace-Carson transform.

Key concepts: Laplace transform, Laplace transform applied to differential equations, Green's function for the three-variable Laplace equation, Mathematics, Two-sided Laplace transform, Mathematical analysis, Post's inversion formula, Laplace's equation

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CERTAIN THEOREMS ON TWO DIMENSIONAL LAPLACE TRANSFORM AND NON-HOMOGENEOUS PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS — Research Paper | ScholarLens