Recent content by Trenthan

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    3D splines, reference text

    Hey guys girls and thanks in advance (Sorry if this post is in the wrong area) Ive been working with splines in 2D for a little while now and am fluent with the mathematics behind them. I now need to use 3D splines but cannot come across a good reference material to reconstruct them ...
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    What is the derivative of y(x) = e^{5ix} when 5i is a complex number?

    Hey guys/ girls and thanks in advance Okay this may seem like the dumbest question on the planet. But i figure i better ask before i waste the lecture's time of booking a consult. Whats the derivative of y(x) = e^{5ix} where 5i is a complex number both the partial and standard...
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    Break Second order ODE into a system of first order ODE's

    All good Using the Crank-Nicholson approach, and than applying Newtons law, which involves taking the jacobian etc and solving for the residue to be zero works. Thanks for your time and help lanedance
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    Break Second order ODE into a system of first order ODE's

    we have been instructed to use Crank-Nicholson for some stupid reason in our design brief. Im looking up other methods iterative techniques such as Newtons method which may be applied within the method... Any suggestions or thoughts...?
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    Break Second order ODE into a system of first order ODE's

    unfortunately its not, we are modelling a pendulum which is lubricated well** :(
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    Break Second order ODE into a system of first order ODE's

    Homework Statement I haven't done this for several years and have forgotten. Kicking myself now over it since it looks like something so simple but i cannot figure it out... I need to break this second order ODE into a system of first order ODE's in matrix form to use within a crank...
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    Curvature of along a streamline

    Working in two dimensions at the moment. Using the potential field consisting of a sink. source, and the circle theorem to model circular obstacles within it. Taking the derivative of the potential field results in the velocities. dw/dz = u + i*v I than use Eulers method to determine...
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    Curvature of along a streamline

    Hey Guys/Girls and thanks in advance Not quite sure this is in the correct forum since its not a homework question, more private study and curiosity lolz! Im trying to evaluate the curvature along the streamline within a hydrodynamic potential field (fluid flow). I have no issue calculating...
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    Distance to an ellipse surface

    Hey guys, this isn't a course work question more independent study to improve something I'm working on for my course, to increase computation time. It may be in the wrong thread but the others state to post independent study in the homework section so its here. Placed it in maths since its...
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    Elongation of Tie Rods: LO or L?

    Hey guys, girls stupid question Whats the actual formula for elongation of a tie rod \delta = \frac{FL_{O}}{EA} or \delta = \frac{FL}{EA} When searching the net, I've found some use the tie rod length "L" Others use the original length of the tie rod LO (In my lecture notes the...
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    Potential Flow Field around an Ellipse

    Potential Flow Field around an Ellipse** Ey guys Just wondering if anyone knows of any theory's that can be used to create a potential field around an ellipse in non uniform flow? I would have used a full Rankine body, but that requires uniform flow so it won't work in non uniform flow...
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    Partial fractions integration problem

    btw TY IssacNewton ! huge help yep that's it, how would i simply it down to atan(x/(y^2)^(1/2))/(2*(y^2)^(1/2)) - x/(2*(x^2 + y^2)) ? The tan bit i can easily do but the last term... (Only asking since to complete the remainder which i use this to create my complex velocity...
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    Partial fractions integration problem

    how would i transform that into x/(2*(x^2 + y^2)) since that's what I am looking for :S well where would i start in order to do that, mat-lab was right matches no.10 off the site u posted :)
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    Partial fractions integration problem

    bit of playing around got me to there, with abit more i got down to this, (see attached) the first arc tan looks good, when combined with the other arc tan which u found, (i just ignored that bit for now) i get the "atan(x/(y^2)^(1/2))/(2*(y^2)^(1/2)) " from matlab its the 2nd term...
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    Partial fractions integration problem

    x=y\tan(\theta) havent done these for quite some time going through the year 12 textbook atvm hoping we covered it than. If not uni notes next Quick question we take the diff of above with respect to theta ot y? ive made the substitution etc and now have this ugly thing in terms of...
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