Document editing comes as a part of numerous occupations and careers, which is the reason instruments for it should be reachable and unambiguous in terms of their use. A sophisticated online editor can spare you plenty of headaches and save a substantial amount of time if you have to Modify equation certificate.
DocHub is a great illustration of an instrument you can master in no time with all the valuable functions at hand. Start editing instantly after creating your account. The user-friendly interface of the editor will allow you to find and utilize any function right away. Experience the difference with the DocHub editor the moment you open it to Modify equation certificate.
Being an integral part of workflows, document editing must remain straightforward. Using DocHub, you can quickly find your way around the editor and make the necessary modifications to your document without a minute wasted.
Hello everyone. So in todays lecture we will discuss about the modified equation, artificial viscosity and numerical diffusion. So, first we will derive the modified equation so now we will determine the dominant error term present in the finite difference equation. First, we will substitute the Taylor series expansion in the finite difference equation, then after arithmetic manipulation will find the modified equation. To illustrate these we will consider 2 examples first we will consider first order accurate scheme, which is first order upwind. And next we will consider second order accurate scheme which is your midpoint leapfrog method. So, these examples will show the dominant error term and their relations with this numerical deficient error. So, first let us consider the Forward Time Backward Space scheme which is your explicit scheme first order upwind. So, we will consider a FTBS this your explicit scheme and or first order upwind, so our governing equation is del phi by del