Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901056 | Applied Mathematics and Computation | 2018 | 13 Pages |
Abstract
Uncertain heat equation is a type of uncertain partial differential equations driven by Liu processes. This paper proposes a concept of α-path for uncertain heat equation, and shows that the solution of an uncertain heat equation can be represented by a family of solutions of ordinary heat equations. And, a formula is derived to calculate expected value of solution of uncertain heat equation. Moreover, a numerical method is designed to solve uncertain heat equation. Several examples are given to illustrate the efficiency of the numerical method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiangfeng Yang,