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博文

目前显示的是标签为“Second Order Random Variable”的博文

Mean Square Heun’s Method Convergent for Solving Random Differential Initial Value Problems of First Order

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52755#.VKIPecCAM4 Author(s)   M. A. Sohaly Affiliation(s) Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt . ABSTRACT This paper deals with the construction of Heun’s method of random initial value problems. Sufficient conditions for their mean square convergence are established. Main statistical properties of the approximations processes are computed in several illustrative examples. KEYWORDS Stochastic Partial Differential Equations , Mean Square Sense , Second Order Random Variable , ...

Mean Square Convergent Finite Difference Scheme for Stochastic Parabolic PDEs

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49362#.VI5Ul8nQrzE Author(s) W. W. Mohammed , M. A. Sohaly , A. H. El-Bassiouny , K. A. Elnagar Affiliation(s) Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt . Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt . Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt . Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt . ABSTRACT Stochastic partial differential equations (SPDEs) describe the dynamics of stochastic processes depending on space-time continuum. These equations have been widely used to mo...