Error and variance of solution to the stochastic heat conduction problem by multiquadric collocation method

✍ Scribed by Somchart Chantasiriwan

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 256 KB
• Volume: 33
• Category: Article
• ISSN: 0735-1933
• DOI: 10.1016/j.icheatmasstransfer.2005.10.014

✦ Synopsis

Error and variance of the solution to the heat conduction problem having stochastic initial and boundary conditions are determined by a formulation based on a meshless method known as the multiquadric collocation method. This formulation expresses the solution in terms of initial and boundary conditions. Inspection of solutions to two test problems reveals that a large value of the shape parameter, which is the free parameter of multiquadrics, should not be used for a stochastic problem because it may lead to a solution that is too sensitive to uncertainties in boundary and initial conditions.