Analysis of the stability and convergence of a finite difference approximation for stochastic partial differential equations

Document Type : Research Paper

Authors

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Abstract

‎In this paper‎, ‎an implicit finite difference scheme is proposed for the numerical solution of stochastic partial differential equations (SPDEs) of Ito type‎. ‎The consistency‎, ‎stability and convergence of the scheme is analyzed‎. ‎Numerical experiments are included to show the efficiency of the scheme‎.
 

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