10.1007/s40096-021-00438-w

Approximate techniques to solve the partial integro-differential equation arising in operational risk: Adomian decomposition method

  • Mansoureh Rasouli1,
  • Mohammad Ali Fariborzi Araghi*1,
  • Tayebe Damercheli1,
  1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR Department of Mathematics, College of Science, Yadegar-e- Emam Khomeini,(RAH) SHahr-e- ray Branch, Islamic Azad university, Tehran, IR

Published in Issue 2021-09-23

How to Cite

Rasouli, M., Fariborzi Araghi, M. A., & Damercheli, T. (2021). Approximate techniques to solve the partial integro-differential equation arising in operational risk: Adomian decomposition method. Mathematical Sciences, 17(1 (March 2023). https://doi.org/10.1007/s40096-021-00438-w
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Abstract

Abstract Operational risk is one of the common risks in organizations, especially in banks, which has a wide range of errors in individual performance or system failure with process problems. In this paper, the mathematical model of operational risk to calculate the probability of the organization being convinced is presented, which is in the form of a Volterra integro-differenial equations and is solved by the Adomian decomposition method (ADM). Also, the ADM is applied in one dimension as semi-Adomian decomposition method (s-ADM). Comparison of results demonstrates proficiency of the ADM and s-ADMin this model.

Keywords

  • Operational risk,
  • Volterra integro-differential equation,
  • Adomian decomposition method

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