how to solve by vim or DTM?
hi dears. i cant solve this question by Analytical method such variational itteration method (VIM) or homotopy perturbation method (HPM), homotopy analysis method(HAM)Â 1)...
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QM perturbation theory: too many levels of recursion
Hello everyone,I've been trying to do some perturbation theory and ran into some problems I don't quite understand. I implemented the Hamiltonian of the Bose-Hubbard model and treated the hopping as a...
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Quantum perturbation theory: energy denominators aren't evaluated properly
Hi!I seem to run into problems with (quantum) perturbation theory. In the following minimal working example, an energy denominator, as occuring in perturbation theory is not evaluated if I previously...
View ArticleHomotopy perturbation methods
HPM_4.mwhi, I am using homotopy perturbation technique but there is arising an error in comaring coeffecient of p^0, p^1,.... plz help meÂ
View ArticleProblem with HPM
Hi everyone.I'm going to solve a problem with HPM in Maple. I wrote some initial codes but now I'm confused becouse of P^0 coefficients in A1 and B1. I mean I can't reach to f0 and g0.I upload that...
View ArticleMetric Perturbation
Hi All, I'm using the Physics package, which enables GR calculations, ie defining metrics and tensor algebra. Was just curious if it were possible to add a perturbation to the metric when calculating...
View ArticleHow do I solve a system of singular differential equation in Maple
Please help me to solve the system of 1st order singular O.D.E Â (see uploaded file)....New_Microsoft_Office_Word_Document.docxÂ
View Articlehow to solve by vim or DTM?
hi dears. i cant solve this question by Analytical method such variational itteration method (VIM) or homotopy perturbation method (HPM), homotopy analysis method(HAM)Â 1)...
View Articleperturbation theorie
Hi all, I am having the follwing DE:restart:Â (diff(z(x), x, x))-z(x)Â - cos(2*x)/(1+delta*z(x)) = 0:With initial conditions: z(-pi/4)=z(pi/4)=0 and |delta|<<1I showed by hand by using...
View ArticleHow do I use Maple to Solve a Differential Equation in Second-Order...
I am working with the following differential equation:$\frac{d^2z}{dx^2}+z=\frac{\cos 2x}{1+\epsilon z},\:\:\:z(-\pi/4)=z(\pi/4)=0$where modulus of $\epsilon$ is much less than $1$. Â The task is then...
View Articleasking for training exercise
Dear sir / madam Hi I'm a student of mechanical engineering and looking for some HPM ( homotopy perturbation method) maple codes with the related article to practice more in this field. can I ask you...
View ArticleIs there any plot that can show perturbation of eigenvectors
If decimal place is 1 such as 123.1 as input matrix and output matrix is eigenvectoris there a easy way to see changes of eigenvector in graph ?because 3 x 3 matrix has 9 elements and eigenvector each...
View ArticleHow expand in perturbation series in maple?
I have the following ODE perturbation problem which I want maple to solve for me:q'(\tau)=f(p(eps*\tau)+eps*q(\tau),r(eps*\tau)+s(\tau))-f(p(eps*\tau,r(eps*\tau)+s(\tau))-f(p(eps*\tau),r(eps*\tau))...
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How do I use Homotopy Perturbation Method to find an analytical solution for...
Please, I need to use Maple to solve Euler-Bernoulli Beam on Pasternak Foundation using Homotopy Perturbation Method.The governing equation is initial conditions are the boundary condition is The...
View ArticleSimulation 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...
View ArticleAnalytical solution of ODE?
Hi, I am tryig to solve ode with the perturbation method but getting an error. can anyone correct my fil and i also want to draw the graph of the involved parameter beta and how can I compare 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...
View ArticleIs there any plot that can show perturbation of eigenvectors
If decimal place is 1 such as 123.1 as input matrix and output matrix is eigenvectoris there a easy way to see changes of eigenvector in graph ?because 3 x 3 matrix has 9 elements and eigenvector each...
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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....
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