A low-order meshless model for multidimensional heat conduction problems

• Published in: Applied mathematical modelling Vol. 35; no. 10; pp. 4926 - 4933
• Main Authors: Prax, C., Sadat, H.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Inc 01-10-2011; Elsevier
• Subjects: Conduction; Exact sciences and technology; Finite element method; Fundamental areas of phenomenology (including applications); Heat conduction; Heat transfer; Low-order; Mathematical analysis; Mathematical models; Mathematics; Meshless methods; Methods of scientific computing (including symbolic computation, algebraic computation); Numerical analysis. Scientific computation; Perturbation methods; Physics; Sciences and techniques of general use; Step responses; Transfer functions; Unsteady model; Heat conduction; Low-order; Unsteady model; Step responses; Transfer functions; Modeling; Perturbation method; Meshless method; Multidimensional model; Transfer function; Heat transfer; Thermal conduction; Step function
• ISSN: 0307-904X
• DOI: 10.1016/j.apm.2011.04.005

In this paper, a perturbation method is used to solve a two-dimensional unsteady heat conduction problem. Low-order transfer functions are defined. Step responses are obtained and compared to the complete numerical solutions given by a meshless method. The analytical results are found to be in good agreement with numerical solutions which reveals the effectiveness and convenience of the used method.