Scientific Research Publishing

Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations ()

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 ...
GitHub

Solving Ordinary Differential Equations Numerical Method Implementation in Python

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 ...
IEEE

The method of parametric representations of integral and pseudo-differential operators in diffraction problems on electrodynamic structures

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 ...
The Earth Institute Columbia University

Ordinary Differential Equations

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 ...
IEEE

4 Dynamic Equations for an Isotropic Spherical Shell Using Power Series Method and Surface Differential Operators

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 ...
Scientific Research Publishing

Jafari, H., Jassim, H.K., Moshokoa, S.P., Ariyan, V.M. and Tchier, F. (2016) Reduced Differential Transform Method for Partial Differential Equations within Local Fractional ...

ABSTRACT: In this study, we investigate a mathematical model that describes the growth dynamics of glial cells in glioma, formulated as a nonlinear partial differential equation with a ...