Application of triangular functions for solving the vasicek model

Authors

  • Kh. Maleknejad Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
  • Z. Sadati Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran
Abstract:

This paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations and $2m+2$ unknowns. Finally, the error analysis and some numerical examples are provided to demonstrate applicability and accuracy of this method.

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Journal title

volume 04  issue 03

pages  173- 182

publication date 2015-08-01

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