Tekle Gemechu

13 Questions 63 Answers 0 Followers

Questions related from Tekle Gemechu

How do we evaluate a learning objective is SMART?

How do we measure/evaluate it? Do we judge it SMART because of its definition or how? When do we say it is SMART objective? Thanks!

12 October 2024 5,586 4 View

Rate of convergence and order of convergence of a numerical method (their relations & differences)?

When one develops a numerical method (FDM, root finding...) for a certain problem solving, proof of convergence, consistency and stability is a necessary task. Who may explain the similarity...

31 August 2024 9,880 3 View

Who would mention some derivative free methods for solving nonlinear equations (such as polynomials)?

Methods such as Bisection method, Secant method...are examples of basic root solving techniques (free of derivatives of the functions to be solved) for nonlinear scalar equations. Who would list...

19 August 2024 1,048 1 View

Who would describe the PSO algorithm?

What is a PSO algorithm (in optimization)? What are some examples of its applications? Thanks!

24 February 2022 5,241 3 View

Why some roots are complex numbers, and what do the complex roots represent?

In mathematics and other fields of science and engineering, we may solve polynomial equations. This may occur from lower level to higher education levels. Polynomial equations may represent models...

08 January 2022 5,314 4 View

Which numerical method is more effective for solving parabolic diffusion PDE in 2D?

Which numerical method is more effective for solving parabolic diffusion PDE in 2D [ with Dirichlet boundary conditions, initial condition at time t =0 is given]? The PDE may represent time...

01 December 2021 4,399 9 View

When (Why) polynomial models are important (in science and engineering models)?

There are different types of models used to represent a certain data. Where / when / why does one may use polynomial models ( such as cubic ones) to represent the data? Thanks!

16 September 2021 1,137 2 View

Physical meaning of perturbation?

In science and engineering, one often solves a perturbed model representing; an ODE, a PDE, an algebraic equation... Are we deliberately perturbing the equations and solve or what is the physical...

04 September 2021 5,414 5 View

What are some advantages of applying Implicit numerical methods over explicit ones, when solving IVPs (of ODEs)?

There are several numerical methods for solving IVPs (of ODEs). There are single step or multi-step methods. The methods may be classified as explicit and implicit methods. When applying numerical...

28 July 2021 2,820 5 View

Which numerical method is very suitable for solving nonlinear scalar equations [ such as a higher order polynomial]?

Nonlinear algebraic or transcendental scalar equations are usually solved by using iteration methods. Because some of them are so intricate to solve analytically or an approximate numerical...

13 July 2021 9,268 4 View

There are few books applying FDMs for solving BVPs of (PDEs) on an irregular domain. How do we choose the correction parameters?

In most cases FDMs are used on regular domains. For irregular domains, FEM, FVM, BEM are used. But some books present application of FDM on irregular domains. In that case correction parameters (...

03 July 2021 1,788 2 View

Is it always true that the higher the order of the scheme, the more the accuracy of the solution?

The Scheme may refer to a FDM or another numerical method.

23 June 2021 2,232 30 View

What are some advantages of compact finite difference method (CFDM) over other FDMs (such as CDM)??

Just to discuss on advantages of CFDMs

14 June 2021 8,187 4 View