Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania. Department of Mathematics, University of Vlora, Vlora, Albania. A new integral transform is derived from the classical ...

Abstract: Mathematical models of 2D electrodynamic wave diffraction and 3D scalar diffraction problems are the external boundary-value problems for the Helmholtz equation with boundary conditions of ...

This course is an introduction to the methods of solving ordinary differential equations with an emphasis on applications. We will study the methods of solving first order and second order linear ...

ABSTRACT: In this paper, a spacecraft system is investigated. The system is formulated by partial differential equations with the initial and the boundary conditions. The spectral analysis and ...

Abstract: Experimental and Applied Mechanics, Volume 6: Proceedings of the 2014 Annual Conference on Experimental and Applied Mechanics, the sixth volume of eight from the Conference, brings together ...