Pakdemirli M.Dolapçi I.T.Yilbaş B.S.2024-07-222024-07-22200712900729http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19219Energy transfer equations in laser heating are considered. Symmetries of the equations are calculated by Lie Group theory. Using the symmetries, the equations are transferred to an ordinary differential system. Equations are approximately solved by strained parameter method, a perturbation technique. A boundary value problem in which the laser beam transfers heat to the surface is treated. Closed form approximate solutions for electron and lattice site temperature rise are obtained for a solid layer heated at the surface with a time decaying intensity pulse. Analytical solutions are verified by numerical simulations. © 2006 Elsevier Masson SAS. All rights reserved.EnglishApproximation theoryBoundary value problemsComputer simulationEnergy transferHeat transferParameter estimationDifferential systemsShort pulsesSolid layersLaser heatingArticle10.1016/j.ijthermalsci.2006.11.015