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article · Journal of Science and Arts

THE PAUL-PAINLEVÉ APPROACH OF THE BLACK SCHOLES MODEL AND ITS EXACT AND NUMERICAL SOLUTIONS

20241 citationOpen accessBenha University

Abstract

In this article, we employ the Black Scholes model which plays a vital role in economic operation and financial market management. The Paul-Painlevé approach is used for the first time to achieve the exact wave solution to this equation. Furthermore, the numerical solution to this equation has been constructed by using the variational iteration method.

Research topics

  • Differential Equations and Numerical Methods
  • Stochastic processes and financial applications
  • Numerical methods for differential equations

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DOI: 10.46939/j.sci.arts-24.1-a10

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