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Results tagged with equation-solving
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user 54516
Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).
1
vote
1
answer
115
views
Solidification Problems in MMA
can we define such intial value and BCs for a solidification problem in MMA using Finite Element:
1.) initial value:=1 for a plate
2.) in this plate we have to define dirichlet bcs for a whole cir …
- 1,864
2
votes
1
answer
295
views
How to solve Nonlinear coupled ODEs using DSolve
I cannot solve such a system of coupled ODEs in MMA 12.1 using DSolve.
i.e. output is equal to the input equations ... (see the attached figure)
Here, each solution is labeled according to the name of …
- 1,864
6
votes
1
answer
379
views
NDSolve solutions for modeling convection-coupled melting
I am trying to solve the convection-coupled melting benchmark in MMA 12.3 as presented in FEniCS/03-ConvectionCoupledMelting-MixedElement-AMR.ipynb. This model in MMA is based on the solution from use …
- 1,864
1
vote
1
answer
117
views
Random intial conditions using finite element method
How can we define the initial value for Cahn-Hilliard problem (links) using FEM in MMA?
Complete test code (I am using MIXED formulation for C1 Problem):
Needs["NDSolve`FEM`"]
\[CapitalOmega]=Implic …
- 1,864
2
votes
1
answer
273
views
Solving multi-field problems in MMA 11.3
Based on the PDE model proposed by @Schumacher Solving a second order coupled PDE system, the one dimensional multi-field Problem I would like to solve such benchmark test:
namely:
u(x): displac …
- 1,864
2
votes
1
answer
184
views
NDSolve Convergence Issue for Coupled Field Problems
I have tried to use NDSolve to solve a coupled field Eqs (see the attached Codes). The MMA solver seems to failed to converge to the requested accuracy or precision within 100 iterations
ClearAll[y, x …
- 1,864
15
votes
2
answers
1k
views
Solving Cahn-Hilliard equation: LinearSolve: Linear equation encountered that has no solution
I have built the Cahn-Hilliard Eqs. in MMA (Mixed Formulation, second order), However, it doesnot work in MMA using Finite Element.
LinearSolve: Linear equation encountered that has no solution.
And " …
- 1,864
3
votes
1
answer
278
views
Stiff System of ODEs: NDSolve Convergence Issues
I have tried to use NDSolve for solving 4th order coupled ODEs problems (see the attached codes). The MMA solver fails to solve this problem.
ClearAll["Global`*"]
L = 10;
ode1 = y''[t] - 0.01 y''''[t] …
- 1,864