Tekle Gemechu

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Questions related from Tekle Gemechu

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 4,328 9 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 5,285 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 2,728 5 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 1,716 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 2,133 30 View