The problem of finding a harmonic function in a plane strip bounded by a straight line and a curve C : y = ϕ(x) with Cauchy data specified on C is formulated as an integral equation of first kind. The ...

This is a preview. Log in through your library . Abstract We consider a parametric family of integral equations of the first kind, which can be treated as index transformations and generalize ...

This course covers differential equation derivation to model systems, solving these equations through Laplace transforms to determine transfer functions for simple mechanical, electrical, and ...

Most people who deal with electronics have heard of the Fourier transform. That mathematical process makes it possible for computers to analyze sound, video, and it also offers critical math insights ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

This course covers various continuous voltage/current time functions and their applications to linear time-invariant (LTI) electrical systems. It reviews pertinent topics from previous courses on ...

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 ...