This paper presents a theoretical analysis of a one-dimensional multilayer heat transfer
problem with diffusion, advection and linear temperature-dependent heat generation …

A hybrid numerical-analytical methodology based on integral transforms is employed for
solving transient three-dimensional heat conduction problems in heterogeneous media …

Generalized integral transform technique (GITT) is a well-established mathematical
technique that can provide good results while maintaining its accuracy and reliability and …

The generalized integral transform technique (GITT) is reviewed as a computational–
analytical methodology in linear and nonlinear convection–diffusion problems, based on …

In many engineering problems non-linear mathematical models are needed to accurately
describe the physical phenomena involved. In such cases, the inverse problems related to …

The present work provides a hybrid numerical–analytical solution through integral
transforms for swirling laminar flows of a Newtonian fluid in an end-driven rotating cylindrical …

Natural convection inside horizontal concentric annular cavities is dealt with through the
generalized integral transform technique (GITT), offering a hybrid numerical-analytical …

A nonlinear eigenvalue problem approach has been recently reported as a novel strategy to
enhance the computational performance of hybrid numerical-analytical solutions obtained …

This work presents an application of an exact analytical approach to estimate the
temperature field of solid-state electronics (SSE). A partial lumped approach in the chip's …

Computational fluid dynamics and heat transfer has been advanced since the second half of
the 20th century, in parallel to computer hardware evolution, offering simulation tools for …