What is Pde: Definition and 855 Discussions

PDE surfaces are used in geometric modelling and computer graphics for creating smooth surfaces conforming to a given boundary configuration. PDE surfaces use partial differential equations to generate a surface which usually satisfy a mathematical boundary value problem.
PDE surfaces were first introduced into the area of geometric modelling and computer graphics by two British mathematicians, Malcolm Bloor and Michael Wilson.

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    Understanding the Validity of PDE Solutions with Variable Substitution

    "Verify that, for any C¹ function f(x), u(x, t) = f(x - ct) is a solution of the PDE u_t + c u_x = 0, where c is a constant and u_t and u_x are partial derivatives." I managed to get the solution for this and a similar problem by showing that the new variable (x - ct in this case) satisfies...
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    Good PDE Books: Get Help & Exercises from Fellows

    I need your help, fellows ! I need the title and author of a good book on PDE. And also a good book with exercises on PDE. Can you help me, please ? :cry: regards Looker
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    Show that reaction-diffusion PDE is linear

    du/dt = f(u)+D(laplacian*u) where u=u(x,y,t), D>0, f(u)=a*u I'm not sure where to start other than substitute f(u) with a*u. Suggestions?
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    About Feynman-Kac equivalence between PDE and SDE

    Hi, I am quite new to the concept of stochastic equations. I am learning of it from some financial textbooks, however they lack a bit in the approach. Let me see if i understood Feynman-Kac: for every PDE in N dimensions (with second derivatives equivalent by unitary/orthogonal...
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    Can anyone help me solve a Non-Homogenous PDE for my assignment?

    I have an assignment due at the end of the week, and I was wondering if someone could check my working for me, as I am prone to making errors. Also, in Step Five I am unsure how to solve for T(t), can anyone point me in the right direction? ∂u/∂t = (c/r)*(r(∂u/∂r)) +...
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