The study of differential-difference equations and boundary value problems occupies an essential niche in applied mathematics, linking the theory of differential operators with discrete translation ...

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

Abstract. In this study, weconsider some boundary value problems by using the differential transformation method with convolutions term. Further, we also propose a new method to solve the differential ...

R. E. O'Malley, Jr. A basic problem in singular perturabations is to study systems of differential equations whose order is reduced when a small parameter becomes zero. It is important for numerous ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

Boundary value problems (BVPs) lie at the heart of mathematical analysis and have wide-ranging applications across physics, engineering and other scientific disciplines. At their core, these problems ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

This course is available on the BSc in Mathematics and Economics, BSc in Mathematics with Data Science, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This course ...