Solution of Moore–Gibson–Thompson Equation of an Unbounded Medium with a Cylindrical Hole

In the current article, in presence of thermal and diffusion processes, equations governing elastic materials through thermodiffusion are obtained. The Moore–Gibson–Thompson (MGT) equation modifies defines for conduction mass that occur solids. This modification is based on adding heat relaxation times Green–Naghdi Type III (GN-III) models. an unbounded medium with a cylindrical hole, built model has been applied to examine influence coupling between temperature responses. At constant concentration as well intermittent decaying varying heat, surrounding cavity surface traction-free filled slowly. Laplace transform inversion techniques obtain solutions studied field variables. order explore analysis find closed solutions, suitable numerical approximation technique used. Comparisons made results obtained corresponding previous Additionally, explain realize presented model, tables figures various physical fields presented.