Abstract
In this paper, meshless element-free Galerkin (EFG) method has been extended to obtain the numerical solution of linear and non-linear heat transfer in semi-infinite solids. A model problem has been solved using constant and temperature-dependent thermal conductivities of the material. For the linearization of nonlinear equations, quasilinearization scheme is adopted to avoid iterations and for time integration, backward difference method has been used. The meshless formulation has been presented for a non-linear heat transfer in semi-infinite solids. The EFG results have been obtained for a model problem using cubic spline weight function. The results obtained by the EFG method are compared with those obtained by finite element and analytical methods.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Communications in Heat and Mass Transfer
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
