Finite Di erence Methods For Random Partial Di erential Equations
Publish place: 3rd Conference on Financial Mathematics and Applications
Publish Year: 1391
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
CFMA03_157
تاریخ نمایه سازی: 16 خرداد 1394
Abstract:
Random partial di erential equations (RPDEs) describe the partial di erential equationsinvolving random inputs which may be a random variable. In this paper, we focus onthe numerical approximation of random parabolic and elliptic partial di erential equations.The main properties of deterministic di erence methods, i.e. consistency, stability and con-vergency, are separately developed for the stochastic case. It is shown that the proposedstochastic di erence schemes for random parabolic and elliptic equations have these proper-ties.
Keywords:
Random partial di erential equations , Finite di erence scheme , Consistency , Stability , Convergence
Authors
M Namjoo
Department of Mathematics, School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
A Mohebbian
Department of Mathematics, School of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran