Objective: Solving Quasi 1D Nozzle Flows through Conservative and Non-Conservative Methods. I\'ll also be focussing on the importance of grid number in the convergence also the computation time. (Theory - John D Anderson COMPUTATIONAL FLUID DYNAMICS) Physical Aspects and the Assumptions of the flow: We consider the steady,…

Background: The wider perspective is to solve the 1-dimensional linear convection equation. This comes from the two-dimensional momentum equation assuming the same shape to make it a simpler PDE.  `(∂u)/(∂t)+c(∂u)/(∂x)=0` Aim: Our objective is to solve the PDE through MatLab code and compare the…

Solving a Linear System Equations: AX = B through Jacobi. Gauss-Seidel and SOR Methods Objectives of the Project: 1) Determining Eigenvalues, Spectral Radius of an iteration matrix 2) Solve the X Matrix through three solving methods 3) Establishing the relationship between the Spectral radius and convergence of the solver.…

Title: Comparison of the first, second and fourth-order error approximations for first-order differential equation Initially, the problem solving started with giving input variables. There are two variables x and dx while I assumed `x=pi/3` (a constant value). 'dx' is a variable in this comparison project. So, I have…