Abstract
A method of solution of a one-dimensional nonlinear unsteady heat-conduction equation has been proposed. The use of the method of Green’s functions made it possible to transform the resulting equation to a nonlinear Volterra integral equation of the second kind for temperature, which is solved by the quadratic-form method. A system of recurrence relations, which is solved numerically, has been obtained. The influence of the nonlinearity on the temperature profiles has been analyzed. A comparison to the numerical finite-element method has shown that the numerical-analytical technique allows a reduction of more than 103 times in the calculation time.
Sign-in/Register to access full text options 
Free) 
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 call
