Abstract: New finite Fourier transforms and the corresponding infinite series are introduced which bring the solution of boundary value problems with asymmetric endpoint conditions within the domain ...

Boundary value problems and integro-differential equations lie at the heart of modern applied mathematics, providing robust frameworks to model phenomena across physics, engineering and beyond. These ...

ABSTRACT: In order to find stable, accurate, and computationally efficient methods for performing the inverse Laplace transform, a new double transformation approach is proposed. To validate and ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...

Inverse problems in the context of elliptic equations and boundary value problems represent a critical area of mathematical analysis with wide-ranging applications in imaging, geophysics, and medical ...

ABSTRACT: In this paper, a new Fourier-differential transform method (FDTM) based on differential transformation method (DTM) is proposed. The method can effectively and quickly solve linear and ...

This is a preview. Log in through your library . Abstract The multiple shooting method and stabilized march have long been advocated for solving boundary value problems, even though certain ...

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: Over the years, analysis of Singularly Boundary Value Problems have been achieved by applying various methods and or techniques. Fundamental issues have been on the existence and uniqueness ...

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.