Tag: differential-equations

73 Numerically solving Helmholtz equation in 2D for arbitrary shapes 2014-07-31T12:51:01.943

65 Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)? 2015-01-21T15:16:59.987

54 Analogue for Maple's dchange - change of variables in differential expressions 2015-04-18T08:28:05.127

52 Numerically solving Helmholtz equation in 3D for arbitrary shapes 2015-05-29T12:17:58.303

52 A geometric multigrid solver for Mathematica? 2018-05-21T01:07:59.980

49 Mathematica vs. Comsol for finite element analysis? 2017-08-22T12:06:51.430

44 Symbolic solution(s) to generalized Heat equation 2014-07-22T08:53:53.970

42 Dynamic Euler–Bernoulli beam equation 2016-10-05T10:27:16.290

42 In what way can M11.3's system modelling features be used by those who don't have SystemModeler? 2018-03-09T17:40:08.580

40 Variable naming changes everything 2013-05-14T12:29:19.707

39 Efficient Langevin Equation Solver 2012-07-26T15:36:28.150

39 How to splice together several instances of InterpolatingFunction? 2013-02-05T04:35:23.947

38 Plotting a Phase Portrait 2012-11-05T18:41:28.080

38 Complex valued 2+1D PDE Schrödinger equation, numerical method for `NDSolve`? 2013-06-29T08:00:42.250

35 Calculating a potential function using the finite element method 2014-09-09T09:11:35.363

34 Animation of double pendulum 2014-05-18T13:44:46.490

32 How to use NDSolve to track equilibrium? 2012-01-22T14:37:54.197

32 How can I plot the direction field for a differential equation? 2012-07-29T17:58:54.813

32 How to fit 3 data sets to a model of 4 differential equations? 2013-07-12T11:22:02.053

31 Numerical solution of coupled ODEs with boundary conditions 2013-10-06T15:33:37.460

31 Has this implementation of FDM touched the speed limit of Mathematica? 2014-10-07T15:01:55.800

31 Finite element simulation of Airy waves 2016-08-03T13:17:22.570

31 Detecting collisions in FEM 2016-08-19T14:53:53.140

29 Publishing results obtained in Mathematica 2012-03-22T16:08:19.693

29 Numerical optimal control 2016-03-29T19:26:07.457

28 1D Euler equations (fluid dynamics) with NDSolve 2012-10-08T22:04:30.523

28 Programming a numerical method in the functional style 2013-03-31T13:41:02.567

28 Solving an ODE in power series 2013-05-17T03:42:13.960

28 Stress calculations using finite elements 2015-12-20T23:15:43.370

26 Phase portrait on a cylinder 2014-10-29T14:23:22.677

26 How to numerically solve a 1-d time-independent Schrödinger equation? 2016-01-31T09:32:55.680

26 Fractal basins of attraction in a Magnetic Pendulum 2016-07-18T00:27:55.140

26 Simulating molecular dynamics efficiently 2017-12-06T18:07:37.097

25 How do I use the new nonlinear finite element in Mathematica 12 for this equation? 2019-04-18T06:56:45.623

24 Accessing Reduce from DSolve 2012-09-16T13:23:07.857

24 Optimizing a Numerical Laplace Equation Solver 2013-04-19T09:49:08.257

24 3D orbits and inaccuracy over time 2013-05-11T12:01:56.193

24 Is there any possibility to implement a structure like a ProgressIndicator into NDSolve? 2017-01-05T10:07:22.093

24 Turing patterns 2019-06-02T08:43:03.993

23 I failed to solve a set of one-dimension fluid mechanics PDEs with NDSolve 2012-08-10T05:03:45.183

23 Find all roots of an interpolating function (solution to a differential equation) 2012-12-16T22:56:23.070

23 2D Heat equation: inconsistent boundary and initial conditions 2013-03-06T03:00:08.430

23 Solving Killing equations 2013-09-22T12:18:16.490

23 How to solve ODE with boundary at infinity 2014-08-12T23:48:28.117

23 Easy way to plot ODE solutions from NDSolve? 2016-12-25T01:16:12.593

23 Ball Bouncing on Hilly Terrain 2017-03-28T20:35:12.683

23 Implement fractional Laplacian 2017-09-24T00:22:14.493

22 Basins of Attraction 2013-04-27T10:59:09.690

22 Getting rid of spikes in the PDE solution 2015-07-14T09:59:43.753

22 29 Differential equations hang/not solved in version 11 compared to 10.4, looking for cause 2016-08-23T02:27:08.667

22 Mismatch between Mathematica and COMSOL in 3D FEM problem 2017-11-08T20:09:55.987

21 Change variables in differential expressions 2012-08-10T21:40:39.663

21 How to discretize a nonlinear PDE fast? 2012-09-11T13:03:01.880

21 Lyapunov Exponent 2013-01-11T06:42:22.643

21 How do I solve a PDE with a strange boundary condition? 2013-02-02T12:49:18.130

21 Elegant way of obtaining the envelope of oscillating function 2013-06-27T09:46:40.923

21 Only final result from NDSolve 2013-08-25T17:03:34.560

21 Error entering equation in DSolve 2014-01-13T06:11:06.923

21 Partial Differential Equation in Parallel 2014-07-26T11:16:04.067

21 Least effort to handle a point source inside the domain of PDE(s) 2015-01-16T22:34:51.020

21 Eigenfunctions of the Laplacian on an arbitrary mesh 2015-05-28T04:51:07.650

21 NDSolve uses different difference order for different spatial derivative when solving PDE 2016-10-20T06:52:22.657

21 What is the definition of Curl in Mathematica? 2019-02-12T08:59:46.720

21 Wrong answer from DSolve when solving a differential equation 2019-05-02T12:31:15.557

20 Integral equation numerical solution with NDSolve 2012-10-05T10:15:20.443

20 NDSolve with Euler method 2012-10-11T20:06:34.890

20 Plotting separatrices for nonlinear system 2015-04-19T05:49:05.083

20 Couple a PDE and ODE in NDSolve 2016-08-02T08:05:05.397

20 Inverting differential equation using finite element methods 2020-03-21T16:22:57.700

20 These PDE's no longer evaluate in version 12.2 as they did under 12.1. What can be done to make them evaluate under 12.2? 2020-12-21T05:11:48.280

19 Is it possible to do vector calculus in Mathematica? 2013-02-14T11:08:54.840

19 How to solve a stiff nonlinear second-order ode? 2013-12-10T14:00:22.193

19 Numerically solve the initial value problem for the 1-D wave equation 2016-10-12T06:53:02.913

19 How to apply different equations to different parts of a geometry in PDE? 2019-03-22T20:35:01.733

18 Inconsistent behavior of WhenEvent[ ] 2013-12-24T17:40:59.103

18 Creating a 3D List Line Plot From Discrete Points 2014-06-01T11:24:39.150

18 Solve Laplace equation using NDSolve 2014-09-11T18:37:17.377

18 Solve differential equation using a integral form boundary condition 2015-06-19T20:53:09.270

18 How can I reliably plot ellipse-field streamlines? 2018-08-21T18:54:45.003

17 Solving a time-dependent Schrödinger equation 2013-03-20T23:31:57.417

17 Vector form using NDSolve 2015-03-30T20:58:45.697

17 Piecewise imposes internal boundaries in NDSolve - is this expected? 2015-11-05T21:32:25.490

17 periodic boundary conditions and NDEigensystem 2015-12-05T21:31:46.323

17 How to solve the tsunami model and animate the shallow water wave? 2016-02-22T05:41:50.907

17 What can one do with extremely stiff problem in NDSolve? 2016-04-17T10:24:35.597

17 How to improve this plot? 2016-10-23T07:42:28.460

17 Gravitational potential created by a thin disc using FEM and NDSolve 2018-01-20T15:51:13.613

17 Solver for unsteady flow with the use of the Navier-Stokes and Mathematica FEM 2018-08-31T06:51:07.470

17 Solver for COVID-19 epidemic model with the Caputo fractional derivatives 2020-05-10T18:55:15.300

17 Violin with f-holes and FEM simulation of Helmholtz resonance in 3D 2020-12-30T14:44:29.427

16 How to guarantee that NDSolve correctly detects abrupt changes in parameters? 2012-01-21T16:33:06.160

16 What method does NDSolve use for solving PDEs? 2012-03-18T19:50:22.677

16 Symmetry-finding packages 2013-02-28T16:04:03.367

16 Plot MATLAB icon 2014-02-27T04:19:07.450

16 Neumann boundary conditions in NDSolve over nontrivial region 2014-08-29T03:45:13.780

16 What boundary is added when boundary condition is not sufficient? 2015-02-13T07:18:17.887

16 Solving and Animating Three Body Problem 2015-05-01T05:22:17.067

16 Heat convection differential equations from 1952 - Mathematica "fails to converge" 2016-01-15T18:51:02.397

16 Particles bouncing in a 3D box 2016-04-05T03:47:05.783