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2018•Mathematical Journal of Interdisciplinary SciencesOpen access

Some Applications of The New Integral Transform For Partial Differential Equations

Sadikali L. Shaikh

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Abstract

In this paper we have derived Sadik transform of the partial derivatives of a function of two variables. We have demonstrated the applicability of the Sadik transform by solving some examples of partial differential equations. We have verified solutions of partial differential equations by Sadik transform with the Laplace transform and the Sumudu transform.

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What this paper is about

In this paper we have derived Sadik transform of the partial derivatives of a function of two variables. We have demonstrated the applicability of the Sadik transform by solving some examples of partial differential equations. We have verified solutions of partial differential equations by Sadik transform with the Laplace transform and the Sumudu transform.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper we have derived Sadik transform of the partial derivatives of a function of two variables. We have demonstrated the applicability of the Sadik transform by solving some examples of partial differential equations. We have verified solutions of partial differential equations by Sadik transform with the Laplace transform and the Sumudu transform.

Key concepts: Laplace transform applied to differential equations, Laplace transform, Two-sided Laplace transform, Mellin transform, Integral transform, Partial differential equation, Mathematics, Mathematical analysis

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