Changing basis and polynomials
$50-150 CAD
Paid on delivery
The project requires advanced mathematics. You could derive symbolically equations using Mupad (preferable). The following changes on the attached pdf are required:
- All equations should be converted to double sided Fourier complex exponential (I have this part partially done)
- Instead of using Hankel function of second kind (Use Bessel function of first kind) (I have this part partially done)
- Instead of using Chebyshev in eq 35 and 36 (Use Jacobi) <==this step is important
- Update appendix A and B with the previous changes
This is a seed and screening project...there are other projects related to this one
Again this is a seed project as I am looking for a committed, dedicated, reliable, responsible freelancer with strong background in Mathematics, singular integral equations, ... Matlab knowledge
Again this is a seed project as I am looking for a committed, dedicated, reliable, responsible freelancer with strong background in Mathematics of singular integral equations, ... Matlab knowledge
The freelancer will work as a consultant to even decide best solutions and sets his/her future tasks and/or projects
The project requires advanced mathematics. You could derive symbolically equations using Mupad (preferable). The following changes on the attached pdf are required:
- All equations should be converted to double sided Fourier complex exponential (I have this part partially done)
- Instead of using Hankel function of second kind (Use Bessel function of first kind) (I have this part partially done)
- Explain equation 39 and a Matlab program that could calculate using those new basis functions (Fourier complex exponential) and Bessel 1st kind instead of Hankel 2nd kind. When the program runs it should provide same results (as a verification)
- Instead of using Chebyshev in eq 35 and 36 (Use Jacobi) <==this step is important
- Update appendix A and B with the previous changes
This is a seed and screening project...there are other projects related to this one
I am attaching my Eqs-Predicting_the_crack_opening_displacements.pdf with double sided complex exponential Fourier and with Bessel first kind replacing Hankel 2nd kind. I re-did up to eq 21.
- The changes would reflect on remaining equations
- Explain equation 39 and a Matlab program that could calculate using those new basis functions (Fourier complex exponential) and Bessel 1st kind instead of Hankel 2nd kind. When the program runs it should provide same results (as a verification)
- Instead of using Chebyshev in eq 35 and 36 (Use Jacobi) <==this step is important
- Update appendix A and B with the previous changes
This is a seed and screening project...there are other projects related to this one
Here are specific steps to be done:
1) You would use my equations in "Eqs-Predicting_crack_opening_displacements.pdf" to replace the equations in " Predicting the crack opening displacements of .. .pdf"
2) You would derive a new replacement equations for equations 27 to 30 and for 35 to 39 using my Fourier complex exponential.
3) You would obtain much more simple equations using Fourier complex exponential
4) Create a Matlab code and verify your results versus current " Predicting the crack opening displacements of .. .pdf"
5) Replace Chebyshev with Jacobi polynomial as in the attached "Elastic wave scattering... pdf". Chebyshev should be a special case of Jacobi
6) Add to your Matlab code and verify your results versus "Elastic wave scattering... pdf"
Project ID: #10759083
About the project
14 freelancers are bidding on average $154 for this job
I have a PhD degree in theoretical and computational physics and extensive experience in math. I've done many math projects including those in Fourier transform and other spectral decompositions in L2 and eigenfunction More
Greetings! After going through your project description, I am excited to work on this project. I am experienced freelancer and fully capable to produce TOP notch work according to your requirements. Contact me to discu More
Hi Im ingeneer in mathematics, and I can help you with your project maybe we can talk about it and dead line. Cheers
Hello, I am good at Matlab and Mathematics. I can do your project with my background about advanced mathematics background. I will use Erwin Kreyszig's popular book on advanced engineering mathematics. Regards
Hi I would like to work on this project. I am an engineering undergraduate and have strong grasp in advanced mathematics. Highly appreciate being given a chance. Thanks
I am applied mathematician. The majority of my research is conducted using Matlab (computational fluid dynamics). I hope we can work together
