Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I am reading a paper, where the author states that two values $U^{n+1}_{1,m}$ and $U^{n+1}_{2,m}$ can be found by solving:

$$U^{n+1}_{1,m}=U^{n+1}_{1,m-1} + hg_{1}(U^{n+1}_{1,m},U^{n+1}_{2,m})$$ $$U^{n+1}_{2,m}=U^{n+1}_{2,m-1} + hg_{2}(U^{n+1}_{1,m},U^{n+1}_{2,m})$$




via Newton's method. I need to be able to replicate their results, I am familiar with Newton's method and I know how to program, but I don't see how to proceed.

How can I find $U^{n+1}_{1,m}$ and $U^{n+1}_{2,m}$ ?

The paper can be found here and the supplementary information containing this claim here

share|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.