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Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.

0 votes
1 answer
78 views

Solve a system of linear equations by NDsolve

Clear[variableName] max=1; x1=0.001;xAg=0.001; xTio2=0.001;xGo=0.001;b=2;h=2;(a/c)=1;pAg=10500;pTio2=4250;pGo=1800;pwater=997.1; kAg=429;kTio2=0.9;kGo=5000;kwater=0.613; bAg=1.89*10^-5;bTio2=0.9*10^- …
ahmed's user avatar
  • 99
1 vote
1 answer
116 views

Study the effect of more than one parameter

I want to study the effect of S and M in the same figure, but I don't know how to do it. M=1;\[Gamma]=.4; sol[S_]:=NDSolve[{(1+1/\[Gamma]) F''''[\[Eta]]-S (\[Eta]*F[\[Eta]]+3*F''[\[Eta]]+F'[\[Eta]]*F' …
ahmed's user avatar
  • 99
3 votes
1 answer
167 views

Using shooting method to solve DE of fourth order

I am trying to solve a fourth-order differential equation using the shooting method and I wrote the following code, But this code does not work for me and I don't know what the problem is. a = 1.3; M …
ahmed's user avatar
  • 99
4 votes
3 answers
296 views

I want to plot the solution with different values of S, How is it?

I was solving an ordinary non-linear differential equation of the fourth order in the picture attached to the following code: S=1,4,7,10; M = 1; a= .4; solution = NDSolve[{D[F[t],t,t,t,t] == (a/(1+ …
ahmed's user avatar
  • 99
1 vote
0 answers
110 views

Solve system of ODE by fractional finite difference method

I am trying to solve the following system using fractional finite difference method: where e=0.1, a=1.3, m=0.3, p=10, g=3, k=1 and s1, s2, s3 it was mentioned in this paper that it is calculated usin …
ahmed's user avatar
  • 99
0 votes
0 answers
58 views

Running the code take too long

I am trying to run this code but it takes a very long time and does not finish. \[Lambda]1U238 = 4.9150210*10^-18; \[Lambda]2Th234 = 3.3281466*10^-7; \[Lambda]3Pa234 = 2.8731343*10^-5; \[Lambda]4U23 …
ahmed's user avatar
  • 99