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| ![Numerical simulation and nonlinear dynamics in rotating magnetoconvection: Chaos, Attractors, and Stability Transitions][1] &[Wolfram Notebook][2] [1]:... |
| In continuation of the study here: https://community.wolfram.com/groups/-/m/t/1433064 Here we give three tests for the problem of natural convection of air in a rectangular cavity with a Rayleigh number of $Ra=10^4$ and with the time-fractional... |
| 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... |
| ![3D Elastic waves in a glass][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=ddpHr.jpg&userId=20103 [2]: https://www.wolframcloud.com/obj/f1a6a538-645d-42f6-bd2f-0e23fc31fe0f |
| ![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 |
| ![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["NDSolve`FEM`"] 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`. |