User Portlet

Alexander Trounev
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![enter image description here][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Mainimage.gif&userId=20103 [2]: https://www.wolframcloud.com/obj/1798c3f3-c5dc-4809-b8a6-71d5c66da8c9
These are routine tests that I did for Mathematica FEM in version 11 using a special time integration algorithm that I am testing. Surprisingly, the tests were passed both in the problem of covection and in the problem of flow around a cylinder...
![enter image description here][1]![enter image description here][2] &[Wolfram Notebook][3] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Gif1_small.gif&userId=20103 [2]:...
Using exact benchmark solution we also can test linear FEM algorithm described on [Solver for unsteady flow with the use of Mathematica FEM][1] and extended to 3D below as follows Needs["NDSolveFEM"] reg = Cuboid[]; mesh =...
*WOLFRAM MATERIALS for the ARTICLE:* > Mohammad, M.; Trounev, A.; Alshbool, M. > *A Novel Numerical Method for Solving Fractional Diffusion-Wave and Nonlinear Fredholm and Volterra Integral Equations with Zero Absolute Error.* > Axioms 2021,...
Dear Vitaliy, thank you very much for links to NDSolve tutorial and LinkedIn. Actually I have used NDSolve with MOL, DAE and FEM solver as well in different applications. Stably fluids algorithm is very specific for implementation with...
It is nice code, but for a large interval we need to increase number of collocation points. Therefore, for 30000 we need about $2^{10}=1024$ colocation points. Then it could be problem to get solution with FindRoot.
For numerical result we need to convert matrix in numerical form, for example for A = {{1, 2, 3}, {2, 4, 5}, {3, 5, 6}} we use Eigensystem[A // N] Out[]= {{11.3448, -0.515729, 0.170915}, {{-0.327985, -0.591009,...
It is not so difficult problem for FEM implementations. Please, see my post on https://mathematica.stackexchange.com/questions/214279/3d-elastic-waves-in-a-glass
![Figure 2][5] ![Figure 3][6] Since we have historical conjunction of Jupiter and Saturn I have prepared code with visualization planet Jupiter and Saturn with moons. First code also published [here][3]. Visualization of planet Jupiter: ...