Laplace transform-adomian decomposition approach for solving random partial differential equations

Abbas, Oras; Altaie, Huda Omran

doi:10.47974/JIM-1870

Open Access Research Article

Laplace transform-adomian decomposition approach for solving random partial differential equations

Oras AbbasDepartment of MathematicsCollege of Education for Pure Sciences (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile → , ^*Huda Omran AltaieCorresponding authordr.huda_hm2019@yahoo.comDepartment of MathematicsCollege of Education for Pure Sciences (Ibn Al-Haitham)University of BaghdadBaghdad, IraqView full profile →

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pp. 775–780Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1870XML

Received:: 17 Jan 2024
Published Online:: 30 Jun 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1870
Pages:: 775–780

Abstract

Market share is a major indication of business success. Understanding the impact of numerous economic factors on market share is critical to a company’s success. In this study, we examine the market shares of two manufacturers in a duopoly economy and present an optimal pricing approach for increasing a company’s market share. We create two numerical models based on ordinary differential equations to investigate market success. The first model takes into account quantity demand and investment in R&D, whereas the second model investigates a more realistic relationship between quantity demand and pricing.

Keywords

Gamma distribution Normal distribution Laplace transform Random partial differential equations

Subject Classifications

44A10

References

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