Abstract: We present a method for the stability analysis of a large class of linear partial differential equations (PDEs) in one spatial dimension. We rely on Lyapunov analysis to establish the ...
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 nonlinear ...
This repository is a collection of Jupyter Notebooks, containing methods for solving different types of PDEs, using Numpy and SciPy. Most notebooks take a special case of the general ...
Abstract: Implicit schemes are a popular approach to the discretization of linear partial differential equations by finite differences. They require to solve a linear set of equations in each time ...
1 Mathematics Department, Faculty of Mathematical & Computer Science, Gezira University, Wad Madani, Sudan. 2 Mathematics Department, Faculty of Sciences and Arts, University of Jeddah, Jeddah, KSA.
This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This ...