Functions and Analysis

2105 Submissions

[2] viXra:2105.0071 [pdf] submitted on 2021-05-13 18:35:39

A Modified Mid Point Rule

Authors: D Williams
Comments: 2 Pages.

A (better?) version of the Mid Point Rule for approximating integrals is given and tested against the standard version. As usual there are many unanswered questions for you to solve.
Category: Functions and Analysis

[1] viXra:2105.0021 [pdf] submitted on 2021-05-04 00:50:23

A Marriage Between the Inner-Outer Method and Averaging Methods in a Special Case, or at Least an Attempt At.

Authors: Alon Ray
Comments: 8 Pages.

I had combined the methods of Averaging and Inner-Outer methods of solution in Perturbation theory of Ordinary Differential equations. Obviously one cannot solve analytically this ODE (i.e via elementary functions), perhaps through some sort of Special Functions' transformation which I haven't tried as of yet it may be feasible. What I have done is just take a simple specific example for the general ODE, I believe I was trying to find asymptotics for this specific example. This is my failed attempt for writing my thesis paper for M.Sc in Mathematics, my final attempt. Hope it's worth something to someone...
Category: Functions and Analysis