Study on efficiency of the Adomian decomposition method for stochastic differential equations

Document Type : Research Paper

Author
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
Abstract
Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved.  Uniqueness and convergence of their adapted solutions are reviewed. The efficiency of the method is demonstrated through the two numerical experiments.
Keywords

Volume 8, Issue 1
July 2017
Pages 61-68

  • Receive Date 11 March 2015
  • Revise Date 12 November 2015
  • Accept Date 18 December 2015

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