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If you believe there is no difference, then try my first example (single ODE) without calling "Evaluate". Especially when you want to plot the solution. It would be nice if one could find some explanation in manuals, or in the online help, why in...
Hello, My neverending efforts to force NDSolve to very accurately solve a certain PDE have led me to try to solve a corresponding system of nonlinear ODEs resulting from orthogonal collocation discretization. I finally managed to obtain a...
I would be happy to understand how this works. My questions: 1) where the information about the context is stored? In notebooks? 2) depending on (1), what will be the effect of the above command if I make a batch mode run, using as input the...
Hello, I observe that while solving ODEs with NDSolve, using fixed grids, one can obtain very high accuracy at the grid points, but the accuracy is very poor between the grid points. This can be illustrated by the following code: step=1/10;...
One technical question: Is there any way to save in a file and/or print the messages from this forum? I cannot see any option for this. Leslaw
I have verified the GWR package many times. You should run it yourself, otherwise you will not get any experience with it. One thing that worries me, regarding your transform, is that due to the presence of exponential terms it can be rather...
I don't remember now. It was a few years ago. But I wanted to integrate a non-oscillatory integrand with a hard singularity at x=0, and I finally succeeded by not using double exponential formulae. L.B.
Hello, after my failures to force NDSolve to solve any of my PDEs, I decided to try out a supposedly simpler solution of two-point BVPs in 2nd order ODEs by NDSolve. Here again NDSolve fails to solve my BVP directly, but I devised my own shooting...
Responding to the person "Updating Name": I tried your version of the code, but I get a message: "The initial conditions did not evaluate to an array of numbers of depth 1 on the spatial grid. Initial conditions for partial differential equations...
Hello again, To be more specific, here is the problem I have been willing to solve with a high accuracy: tmax=25; xmax=6*Sqrt[tmax]; ...