Elliptic equations represent a fundamental class of partial differential equations that arise in numerous models of steady-state processes, ranging from heat conduction to elasticity. Their study ...

This is a preview. Log in through your library . Abstract In this paper is considered the system of second order iterative functional-differential equation $\left\{ \begin{gathered}- x''\left( t ...

A family of uniformly accurate finite-difference schemes for the model problem $-\varepsilon u'' + a(x)u' + b(x)u = f(x)$ is constructed using a general finite-difference framework of Lynch and Rice ...

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

Boundary value problems in differential equations constitute a fundamental area of study in mathematical science, where solutions to differential equations are sought under prescribed conditions ...

APPM 5350 Methods in Applied Mathematics: Fourier Series and Boundary Value Problems Restricted to graduate students. Same as APPM 4350. Prerequisites: Restricted to Graduate Students only.