A Review of Wavelets Solution to Stochastic Heat Equation with Random Inputs

• 作者: Anthony Y. Aidoo Matilda Wilson
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: WAVELETS STOCHASTIC HEAT EQUATION COLLOCATION
• 年，卷（期）: 2015,（14）
• 页码范围: 2226-2239
• 页数: 14页
• 分类号: O1

摘要

We consider a wavelet-based solution to the stochastic heat equation with random inputs. Computational methods based on the wavelet transform are analyzed for solving three types of stochastic heat equation. The methods are shown to be very convenient for solving such problems, since the initial and boundary conditions are taken into account automatically. The results reveal that the wavelet algorithms are very accurate and efficient.