Computational analysis of an infinite magneto-thermoelastic solid periodically dispersed with varying heat flow based on non-local Moore–Gibson–Thompson approach

Abstract In this investigation, a computational analysis is conducted to study magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium subjected periodic heat flow in the presence of continuous longitude magnetic field. Based on Moore–Gibson–Thompson equation, new generalized model has been investigated address considered problem. introduced can be formulated by combining Green–Naghdi Type III and Lord–Shulman models. Eringen’s non-local theory also applied demonstrate effect thermoelastic materials which depends small scale. Some special cases as well previous thermoelasticity models are deduced from presented approach. domain Laplace transform, system equations expressed solved using state space method. converted physical expressions numerically reversed Zakian’s algorithm. indicates significant influence field variables modulus with larger values. Moreover, established literature, numerical results satisfactorily examined.