Boundary integral equations (BIEs) have emerged as a powerful framework for modelling wave propagation, particularly in problems defined over unbounded or complex domains. By reformulating partial ...

Description: Review of system with one degree of freedom. LaGrange's equations of motion for multiple degree of freedom systems. Introduction to matrix methods. Transfer functions for harmonic ...

In this paper, a method called "differential inversion" is presented for solving a class of integral equations (Fredholm integral equations of the first kind) of convolution form. Differential ...

We consider, in an abstract setting, an instance of the Coleman-Gurtin model for heat conduction with memory, that is, the Volterra integro-differential equation ${\partial _t}u(t) - \beta \Delta u(t) ...