Simulation on perturbations
Consider a wave y=f(x,t) with amplitude modulation such that it becomes y_new=(1+A)*f(x,t), where A=A(t) is a small perturbation.How can I do the simulation to test the robustness of the system to see...
View ArticleWhy the solution is not shown in a complete form?
As you can see in the code, I am trying to print the solution of the ODE using the Homotopy perturbation method for N = 10 ( f[0] till f[10]), but Maple is only printing f[0],f[1], and the rest of the...
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Perturbation with anti-secularity is older than was thought
Dear all,Recently we learned that the idea of "anti-secularity" in perturbation methods was known to Mathieu already by 1868, predating Lindstedt by several years. The Maple worksheet linked below...
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Solution of Logistic equation in Perturbation theory
Hi everyone, Please I need your help, if anyone has idea of using Perturbation Theory to Solve the following Logistic Fractional Equation and ploting with iteration....
View ArticleA book in progress, relying on Jupyter notebooks with Maple
My friend and colleague Nic Fillion and I are writing another book, this one on perturbation methods using backward error analysis (and Maple). We have decided to make the supporting materials...
View ArticleSolving an ODE perturbation problem.
I have this problem:(x'+x''+epsilon/x)(x'-(x')^3/3!)(x''-(x'')^3/3!)(epsilon/x -(epsilon/x)^3/3!)=1x(0)=epsilon , x'(epsilon)=epsilon+epsilon^{-1}0<epsilon<<1Now I want to try the ansatz:...
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