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A Legendre-based computational method for solving a class of Itô stochastic delay differential equations

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This paper provides a numerical method for solving a class of Itô stochastic delay differential equations (SDDEs). The method’s novelty is its use of the spectral collocation approach using Legendre… Click to show full abstract

This paper provides a numerical method for solving a class of Itô stochastic delay differential equations (SDDEs). The method’s novelty is its use of the spectral collocation approach using Legendre polynomials for solving SDDEs. We prove that the method is strongly convergent in L2 and proceed to demonstrate its computational efficiency and superior accuracy.

Keywords: solving class; method solving; stochastic delay; class stochastic; differential equations; delay differential

Journal Title: Numerical Algorithms
Year Published: 2018

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