The course concentrates on the equation-solving facilities of Mathematica including solving algebraic equations with Solve as well as solving differential equations with DSolve. For completeness attention is given to the GroebnerBasis function. Reprint from the Mathematica Conference, June 1992, Boston. 28 pages.A. V. Bocharov
In mathematica we use the command NSolve[{x^2 + y^3 == 1, 2 x + 3 y == 4}, {x, y}, Reals] without needing any initial guess to solve a system of non-linear equations. I need the same command in Matlab to solve system of non-linear equations BUT without needing the initia...
… experts in the field can find in the book tasty remarks on the state of the art of numerical methods for differential equations.” (Andrzej Palczewski, Mathematica Applicanda, Vol. 41 (1), 2013) “An invaluable aid for learning almost from scratch about a quite comprehensive collection...
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The aim of this tutorial is to give an introductory overview of the finite element method (FEM) as it is implemented in NDSolve. The notebook introduces finite element method concepts for solving partial differential equations (PDEs). First, typical workflows are discussed. The setup of regions...
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S. V. Polyakov, “Exponential finite-difference schemes for diffusion-convection equation,” Mathematica Montisnigri 26, 29–44 (2012). MATH Google Scholar S. V. Polyakov, “Exponential difference schemes with double integral transformation for solving convection-diffusion equations,” Math. Models ...
Feynman integrals are solutions to linear partial differential equations with polynomial coefficients. Using a triangle integral with general exponents as
Hello, I've got differential equations to solve. I've managed to solve it graphically and I can compute values for different arguments of functions. Now I...
non-linear equations. However Fsolve doesn't seem to converge. It goes the right direction however it doesn't seem to quite get there. The solver stops prematurely. I know the math behind the equations is fine, since I already solved it with Mathematica. I just need built it with fsolve...