The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the ...

Exact solutions of buckling configurations and vibration response of post-buckled configurations of beams with non-classical boundary conditions (e.g., elastically supported) are presented using the ...

1 Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, Bangladesh. 2 Department of Mathematics, Uttara University, Dhaka, Bangladesh. This study presents a ...

Abstract: Analytical solution of a boundary-value problem for a system of differential equations of deformation is obtained for the rectangular plate supported with ribs of rigidity in the “function ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

Moving boundary problem is a class of physical problems where the boundaries or interfaces of the domain change with time. In such problems, the boundary positions are not known a priori and have to ...

A 13-page engineering report in LaTeX that derives and determines the differential equation for the equation of the deflection curve of a simply supported beam under a uniform load and maximum ...

This repository provides essential numerical algorithms for solving mathematical problems. Covering linear equations, differential equations and more, it's a valuable resource for students and ...

Euler-Bernoulli (EB) and Timoshenko-Ehrenfest (TE) theories model simple beams under linear constraints. But even keeping these constraints, specific structural effects in real applications compromise ...

Abstract: This paper presents a universal algorithm for solving boundary value problems of bending plates of arbitrary shape. To solve the problem of bending, the method of sources and sinks is used.