Abstract
A new approach to the construction of constitutive integral relations, involving the introduction into consideration of local functions for a heat flow or a temperature determined directly from the differential heat-conduction equation, is proposed. With the use of this approach, new integral relations: the temperature-momentum integral of single modification, the temperature-momentum integral of double modification, the heat-flow integral, and the temperature-function integral, have been obtained. On the basis of these integrals as well as the integral method of heat balance and the refined integral method, different variants of the hybrid integral method realized with the use of manifold integral relations were investigated. In addition to the Langford norm, new error norms were introduced into consideration. The parabolic solutions obtained possess much better qualities compared to those of the analogous known solutions.
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 callDisclaimer: 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.
